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MULTINOMIAL DISTRIBUTION

  • Multinomial distribution
  • Generalization of the binomial distribution

    In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts

    Multinomial distribution

    Multinomial_distribution

  • Dirichlet-multinomial distribution
  • Distributions in probability theory

    and statistics, the Dirichlet-multinomial distribution is a family of discrete multivariate probability distributions on a finite support of non-negative

    Dirichlet-multinomial distribution

    Dirichlet-multinomial_distribution

  • Categorical distribution
  • Discrete probability distribution

    of a die. On the other hand, the categorical distribution is a special case of the multinomial distribution, in that it gives the probabilities of potential

    Categorical distribution

    Categorical_distribution

  • Negative multinomial distribution
  • Probability distribution

    theory and statistics, the negative multinomial distribution is a generalization of the negative binomial distribution (NB(x0, p)) to more than two outcomes

    Negative multinomial distribution

    Negative_multinomial_distribution

  • Beta-binomial distribution
  • Discrete probability distribution

    Dirichlet-multinomial distribution as the binomial and beta distributions are univariate versions of the multinomial and Dirichlet distributions respectively

    Beta-binomial distribution

    Beta-binomial distribution

    Beta-binomial_distribution

  • Multinomial theorem
  • Generalization of the binomial theorem to other polynomials

    In mathematics, the multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization

    Multinomial theorem

    Multinomial_theorem

  • Dirichlet negative multinomial distribution
  • Probability multivariate distribution

    theory and statistics, the Dirichlet negative multinomial distribution is a multivariate distribution on the non-negative integers. It is a multivariate

    Dirichlet negative multinomial distribution

    Dirichlet_negative_multinomial_distribution

  • Dirichlet distribution
  • Probability distribution

    of the categorical distribution and multinomial distribution. The infinite-dimensional generalization of the Dirichlet distribution is the Dirichlet process

    Dirichlet distribution

    Dirichlet distribution

    Dirichlet_distribution

  • Hypergeometric distribution
  • Discrete probability distribution

    relationship to the multinomial distribution that the hypergeometric distribution has to the binomial distribution—the multinomial distribution is the "with-replacement"

    Hypergeometric distribution

    Hypergeometric distribution

    Hypergeometric_distribution

  • Chi-squared distribution
  • Probability distribution and special case of gamma distribution

    showed that the chi-squared distribution arose from such a multivariate normal approximation to the multinomial distribution, taking careful account of

    Chi-squared distribution

    Chi-squared distribution

    Chi-squared_distribution

  • List of probability distributions
  • t-distribution. The negative multinomial distribution, a generalization of the negative binomial distribution. The Dirichlet negative multinomial distribution

    List of probability distributions

    List_of_probability_distributions

  • Probability distribution
  • Mathematical function for the probability a given outcome occurs in an experiment

    generalization of the binomial distribution Multivariate hypergeometric distribution, similar to the multinomial distribution, but using sampling without

    Probability distribution

    Probability distribution

    Probability_distribution

  • Boltzmann distribution
  • Probability distribution of energy states of a system

    political, and economic contexts. The Boltzmann distribution has the same form as the multinomial logit model. As a discrete choice model, this is very

    Boltzmann distribution

    Boltzmann distribution

    Boltzmann_distribution

  • Poisson distribution
  • Discrete probability distribution

    discrete compound Poisson distribution can be deduced from the limiting distribution of univariate multinomial distribution. It is also a special case

    Poisson distribution

    Poisson distribution

    Poisson_distribution

  • Joint probability distribution
  • Type of probability distribution

    multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution. Bayesian

    Joint probability distribution

    Joint probability distribution

    Joint_probability_distribution

  • Generalized linear model
  • Class of statistical models

    of the K possible values. For the multinomial distribution, and for the vector form of the categorical distribution, the expected values of the elements

    Generalized linear model

    Generalized_linear_model

  • Posterior predictive distribution
  • Distribution of new data marginalized over the posterior

    beta-binomial distribution and Dirichlet-multinomial distribution are all predictive distributions of exponential-family distributions (the normal distribution, binomial

    Posterior predictive distribution

    Posterior_predictive_distribution

  • Multinomial
  • Topics referred to by the same term

    Multinomial may refer to: Multinomial theorem, and the multinomial coefficient Multinomial distribution Multinomial logistic regression Multinomial test

    Multinomial

    Multinomial

  • Gibbs sampling
  • Monte Carlo algorithm

    and the joint distribution of these variables after collapsing is a Dirichlet-multinomial distribution. The conditional distribution of a given categorical

    Gibbs sampling

    Gibbs_sampling

  • Negative binomial distribution
  • Probability distribution

    binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson

    Negative binomial distribution

    Negative binomial distribution

    Negative_binomial_distribution

  • Probability mass function
  • Discrete-variable probability distribution

    (also known as the generalized Bernoulli distribution) and the multinomial distribution. If the discrete distribution has two or more categories one of which

    Probability mass function

    Probability mass function

    Probability_mass_function

  • Beta distribution
  • Probability distribution

    Bernoulli distributions in exactly the same way as the Dirichlet distribution is conjugate to the multinomial distribution and categorical distribution. The

    Beta distribution

    Beta distribution

    Beta_distribution

  • Compound probability distribution
  • Concept in statistics

    from the beta distribution. Compounding a multinomial distribution with probability vector distributed according to a Dirichlet distribution yields a Dirichlet-multinomial

    Compound probability distribution

    Compound_probability_distribution

  • Binomial distribution
  • Probability distribution

    Mathematics portal Logistic regression Multinomial distribution Negative binomial distribution Beta-binomial distribution Binomial measure, an example of a

    Binomial distribution

    Binomial distribution

    Binomial_distribution

  • Latent Dirichlet allocation
  • Generative topic model

    w_{i,j}\sim \operatorname {Multinomial} (\varphi _{z_{i,j}}).} (Note that multinomial distribution here refers to the multinomial with only one trial, which

    Latent Dirichlet allocation

    Latent_Dirichlet_allocation

  • Poisson binomial distribution
  • Probability distribution

    of the sum of independent Bernoulli random variables and of the multinomial distribution". In Gani, J.; Rohatgi, V.K. (eds.). Contributions to probability:

    Poisson binomial distribution

    Poisson_binomial_distribution

  • Binomial coefficient
  • Number of subsets of a given size

    {n}{k_{1}}}={\binom {n}{k_{2}}}.} The combinatorial interpretation of multinomial coefficients is distribution of n distinguishable elements over r (distinguishable)

    Binomial coefficient

    Binomial coefficient

    Binomial_coefficient

  • Logit-normal distribution
  • Probability distribution

    distributed. It is also known as the logistic normal distribution, which often refers to a multinomial logit version (e.g.). A variable might be modeled

    Logit-normal distribution

    Logit-normal distribution

    Logit-normal_distribution

  • Variational Bayesian methods
  • Mathematical methods used in Bayesian inference and machine learning

    \alpha _{0}} . The Dirichlet distribution is the conjugate prior of the categorical distribution or multinomial distribution. W ( ) {\displaystyle {\mathcal

    Variational Bayesian methods

    Variational_Bayesian_methods

  • Pearson's chi-squared test
  • Evaluates how likely it is that any difference between data sets arose by chance

    numbers are sampled from a multinomial distribution M u l t i n o m i a l ( N ; p 1 , . . . , p n ) {\displaystyle \mathrm {Multinomial} (N;p_{1},...,p_{n})}

    Pearson's chi-squared test

    Pearson's_chi-squared_test

  • Gumbel distribution
  • Particular case of the generalized extreme value distribution

    formulation of the multinomial logit model — common in discrete choice theory — the errors of the latent variables follow a Gumbel distribution. This is useful

    Gumbel distribution

    Gumbel distribution

    Gumbel_distribution

  • Probability-proportional-to-size sampling
  • In survey methodology

    is to just draw one item at a time (like getting n draws from a multinomial distribution with N elements, each with their own p i {\displaystyle p_{i}}

    Probability-proportional-to-size sampling

    Probability-proportional-to-size_sampling

  • Additive smoothing
  • Statistical technique for smoothing categorical data

    \ldots ,x_{d}\rangle } from a d {\displaystyle d} -dimensional multinomial distribution with N {\displaystyle N} trials, a "smoothed" version of the counts

    Additive smoothing

    Additive_smoothing

  • Latent variable model
  • Statistical model relating manifest and latent variables

    in latent profile analysis and latent class analysis as from a multinomial distribution. The manifest variables in factor analysis and latent profile analysis

    Latent variable model

    Latent_variable_model

  • Benford's law
  • Observation that in many real-life datasets, the leading digit is likely to be small

    (3). Ostrovski, Vladimir (May 2017). "Testing equivalence of multinomial distributions". Statistics & Probability Letters. 124: 77–82. doi:10.1016/j

    Benford's law

    Benford's law

    Benford's_law

  • Linear regression
  • Statistical modeling method

    described using a Bernoulli distribution/binomial distribution for binary choices, or a categorical distribution/multinomial distribution for multi-way choices)

    Linear regression

    Linear_regression

  • Balls into bins problem
  • Balanced or random resource allocation

    number the load on the bin. The problem can be modelled using a Multinomial distribution, and may involve asking a question such as: What is the expected

    Balls into bins problem

    Balls_into_bins_problem

  • Hardy–Weinberg principle
  • Principle in genetics

    probability of each diploid–diploid combination, which follows a multinomial distribution with k = 3. For example, the probability of the mating combination

    Hardy–Weinberg principle

    Hardy–Weinberg principle

    Hardy–Weinberg_principle

  • Stars and bars (combinatorics)
  • Graphical aid for deriving some concepts in combinatorics

    coefficient Partition (number theory) Twelvefold way Dirichlet-multinomial distribution Batterson, J. Competition Math for Middle School. Art of Problem

    Stars and bars (combinatorics)

    Stars_and_bars_(combinatorics)

  • Order statistic
  • Kth smallest value in a statistical sample

    ) {\displaystyle (u+du,1)} respectively. This equals (refer to multinomial distribution for details) n ! ( k − 1 ) ! ( n − k ) ! u k − 1 ⋅ d u ⋅ ( 1 −

    Order statistic

    Order statistic

    Order_statistic

  • Dynamic topic model
  • Time-series clustering method

    mixture of unobserved topics. Furthermore, each topic defines a multinomial distribution over a set of terms. Thus, for each word of each document, a topic

    Dynamic topic model

    Dynamic_topic_model

  • Empirical measure
  • Random measure in probability theory

    form a multinomial distribution with event probabilities P ( A i ) {\displaystyle P(A_{i})} The covariance matrix of this multinomial distribution is C

    Empirical measure

    Empirical_measure

  • Mixture model
  • Statistical concept

    ) given a fixed number of total occurrences Multinomial distribution, similar to the binomial distribution, but for counts of multi-way occurrences (e

    Mixture model

    Mixture_model

  • Multinomial logistic regression
  • Regression for more than two discrete outcomes

    In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more

    Multinomial logistic regression

    Multinomial_logistic_regression

  • Information content
  • Quantity in information theory

    {\textstyle \sum _{k=1}^{6}{C_{k}}=2} and the counts have the multinomial distribution f ( c 1 , … , c 6 ) = Pr ( C 1 = c 1  and  …  and  C 6 = c 6 )

    Information content

    Information_content

  • Urn problem
  • Mental exercise in probability and statistics

    velocity distributions. The Ellsberg paradox. Balls into bins Coin-tossing problems Coupon collector's problem Dirichlet-multinomial distribution Noncentral

    Urn problem

    Urn problem

    Urn_problem

  • Exponential family
  • Family of probability distributions related to the normal distribution

    Dirichlet-multinomial distributions. Other examples of distributions that are not exponential families are the F-distribution, Cauchy distribution, hypergeometric

    Exponential family

    Exponential_family

  • Multivariate normal distribution
  • Generalization of the one-dimensional normal distribution to higher dimensions

    statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • Multinomial test
  • Multinomial test is the statistical test of the null hypothesis that the parameters of a multinomial distribution equal specified values; it is used for

    Multinomial test

    Multinomial_test

  • Inverted Dirichlet distribution
  • _{k+1}>q_{1}+\ldots +q_{k}} . The inverted Dirichlet distribution is conjugate to the negative multinomial distribution if a generalized form of odds ratio is used

    Inverted Dirichlet distribution

    Inverted_Dirichlet_distribution

  • Bootstrapping (statistics)
  • Statistical method

    bootstrap samples items from a list of size n with counts drawn from a multinomial distribution. If W i {\displaystyle W_{i}} denotes the number times element

    Bootstrapping (statistics)

    Bootstrapping_(statistics)

  • List of things named after Peter Gustav Lejeune Dirichlet
  • distribution (probability theory) Dirichlet-multinomial distribution Dirichlet negative multinomial distribution Generalized Dirichlet distribution (probability

    List of things named after Peter Gustav Lejeune Dirichlet

    List_of_things_named_after_Peter_Gustav_Lejeune_Dirichlet

  • Anil Kumar Bhattacharyya
  • Indian statistician (1915–1996)

    statistics, particularly for his measure of similarity between two multinomial distributions, known as the Bhattacharyya coefficient, based on which he defined

    Anil Kumar Bhattacharyya

    Anil_Kumar_Bhattacharyya

  • Combinatorics
  • Branch of discrete mathematics

    binomial coefficient Multinomial generalizations Multinomial coefficient · Multinomial formula/theorem · Multinomial distribution · Pascal's pyramid ·

    Combinatorics

    Combinatorics

  • Convolutional neural network
  • Type of feedforward neural network

    activation within each pooling region is picked randomly according to a multinomial distribution, given by the activities within the pooling region. This approach

    Convolutional neural network

    Convolutional_neural_network

  • Generalized extreme value distribution
  • Family of probability distributions

    {\displaystyle \ F(\ x;\ -\ln \sigma ,\ {\tfrac {\ 1\ }{\alpha }},\ 0\ )~.} Multinomial logit models, and certain other types of logistic regression, can be

    Generalized extreme value distribution

    Generalized_extreme_value_distribution

  • Beta negative binomial distribution
  • Compound probability distribution

    \beta } red balls are observed. Negative binomial distribution Dirichlet negative multinomial distribution Johnson et al. (1993) Johnson, N.L.; Kotz, S.;

    Beta negative binomial distribution

    Beta_negative_binomial_distribution

  • Jaccard index
  • Measure of similarity and diversity between sets

    increases. Estimation methods are available either by approximating a multinomial distribution or by bootstrapping. When used for binary attributes, the Jaccard

    Jaccard index

    Jaccard index

    Jaccard_index

  • Principle of maximum entropy
  • Principle in Bayesian statistics

    probable result. The probability of any particular result is the multinomial distribution, P r ( p ) = W ⋅ m − N {\displaystyle Pr(\mathbf {p} )=W\cdot m^{-N}}

    Principle of maximum entropy

    Principle_of_maximum_entropy

  • Naive Bayes classifier
  • Probabilistic classification algorithm

    encountered in document classification (include spam filtering), multinomial and Bernoulli distributions are popular. These assumptions lead to two distinct models

    Naive Bayes classifier

    Naive Bayes classifier

    Naive_Bayes_classifier

  • Binomial test
  • Test of statistical significance

    categories, and an exact test is required, the multinomial test, based on the multinomial distribution, must be used instead of the binomial test. Most

    Binomial test

    Binomial_test

  • Donsker's theorem
  • Statement in probability theory

    \dots ,F_{N}(t_{n})} is a multinomial distribution. Now, the central limit approximation for multinomial distributions shows that lim N N ( F N ( t i ) −

    Donsker's theorem

    Donsker's theorem

    Donsker's_theorem

  • List of factorial and binomial topics
  • representation of an integer Mahler's theorem Multinomial distribution Multinomial coefficient, Multinomial formula, Multinomial theorem Multiplicities of entries

    List of factorial and binomial topics

    List_of_factorial_and_binomial_topics

  • Logistic regression
  • Statistical model for a binary dependent variable

    dog, lion, etc.), and the binary logistic regression generalized to multinomial logistic regression. If the multiple categories are ordered, one can

    Logistic regression

    Logistic regression

    Logistic_regression

  • Information theory
  • Scientific study of digital information

    log-likelihood ratio test in the context of contingency tables and the multinomial distribution and to Pearson's χ2 test: mutual information can be considered

    Information theory

    Information_theory

  • Taylor's law
  • Empirical law on the variance of species in a habitat

    They noted that the use of the multinomial distribution may be more appropriate than the use of a Poisson distribution for such data. The statistic θ

    Taylor's law

    Taylor's_law

  • Design effect
  • Statistical measure used in survey research

    stratification, the number of elements at each stratum can be modeled as a multinomial distribution with different p h {\displaystyle p_{h}} inclusion probabilities

    Design effect

    Design_effect

  • Pólya urn model
  • Random model in mathematics

    binomial distribution: The distribution of number of white balls observed until a fixed number black balls are observed. Dirichlet-multinomial distribution (also

    Pólya urn model

    Pólya_urn_model

  • Non-uniform random variate generation
  • Generating pseudo-random numbers that follow a probability distribution

    generation Laplace distribution#Random variate generation Multinomial distribution#Random variate distribution Pareto distribution#Random variate generation

    Non-uniform random variate generation

    Non-uniform_random_variate_generation

  • Anne Chao
  • Taiwanese environmental statistician

    Quadrature Method in Inference Problems Arising From the Generalized Multinomial Distribution. After working for a year as a visiting assistant professor at

    Anne Chao

    Anne_Chao

  • Categorical variable
  • Variable capable of taking on a limited number of possible values

    multiple-category categorical variables are often analyzed using a multinomial distribution, which counts the frequency of each possible combination of numbers

    Categorical variable

    Categorical_variable

  • Rule of succession
  • Formula in probability theory

    Dirichlet distribution is the conjugate prior for the multinomial distribution, which means that the posterior distribution is also a Dirichlet distribution with

    Rule of succession

    Rule_of_succession

  • Twelvefold way
  • Systematic classification of 12 related enumerative problems concerning two finite sets

    categorical distribution. Sampling with replacement where ordering does not matter, however, is comparable to describing a single multinomial distribution of N

    Twelvefold way

    Twelvefold_way

  • List of statistics articles
  • analysis Multinomial distribution Multinomial logistic regression Multinomial logit – see Multinomial logistic regression Multinomial probit Multinomial test

    List of statistics articles

    List_of_statistics_articles

  • Ars Conjectandi
  • 1713 book on probability and combinatorics by Jacob Bernoulli

    theology was impacted. Multinomial distribution Bernoulli trial Law of large numbers Bernoulli numbers Binomial distribution Dunham 1990, p. 191 Abrams

    Ars Conjectandi

    Ars Conjectandi

    Ars_Conjectandi

  • Softmax function
  • Smooth approximation of one-hot arg max

    probability distribution over K possible outcomes. It is a generalization of the logistic function to multiple dimensions, and is used in multinomial logistic

    Softmax function

    Softmax_function

  • Binary data
  • Data whose unit can take on only two possible states

    a multinomial regression. Counts of non-i.i.d. binary data can be modeled by more complicated distributions, such as the beta-binomial distribution (a

    Binary data

    Binary_data

  • Efficiency (statistics)
  • Quality measure of a statistical method

    normal distribution (but not the variance σ2), parameter λ of the Poisson distribution, the probability p in the binomial or multinomial distribution. Consider

    Efficiency (statistics)

    Efficiency_(statistics)

  • Multinomial probit
  • In statistics and econometrics, the multinomial probit model is a generalization of the probit model used when there are several possible categories that

    Multinomial probit

    Multinomial_probit

  • Quantities of information
  • log-likelihood ratio test in the context of contingency tables and the multinomial distribution and to Pearson's χ2 test: mutual information can be considered

    Quantities of information

    Quantities of information

    Quantities_of_information

  • Qualitative variation
  • Statistical dispersion in nominal distributions

    variance of a multinomial distribution (Swanson 1976) (there called an "expanded binomial model"). M1 is the variance of the multinomial distribution and M2

    Qualitative variation

    Qualitative_variation

  • Pascal's pyramid
  • Arrangement of trinomial coefficients

    and the binomial distribution. The binomial and trinomial coefficients, expansions, and distributions are subsets of the multinomial constructs with the

    Pascal's pyramid

    Pascal's pyramid

    Pascal's_pyramid

  • Relative species abundance
  • Concept in ecology

    abundances in the UNTB model follow a zero-sum multinomial distribution. The shape of this distribution is a function of the immigration rate, the size

    Relative species abundance

    Relative_species_abundance

  • G-test
  • Statistical test

    chi-squared distribution, with the same number of degrees of freedom as in the corresponding chi-squared test. For very small samples the multinomial test for

    G-test

    G-test

  • Barnard's test
  • Exact test

    of a 2 × 2 table under the first study design is given by the multinomial distribution; where the total number of samples taken is the only statistical

    Barnard's test

    Barnard's_test

  • Position weight matrix
  • Commonly used representation of patterns in biological sequences

    is 1. Each column can therefore be regarded as an independent multinomial distribution. This makes it easy to calculate the probability of a sequence

    Position weight matrix

    Position_weight_matrix

  • Conjugate prior
  • Concept in probability theory

    posterior distribution p ( θ ∣ x ) {\displaystyle p(\theta \mid x)} is in the same probability distribution family as the prior probability distribution p (

    Conjugate prior

    Conjugate_prior

  • Substitution model
  • Model of changes in a sequence over evolutionary time

    that substitution models can be viewed as implying a specific multinomial distribution for site pattern frequencies. If we consider a multiple sequence

    Substitution model

    Substitution model

    Substitution_model

  • Omnibus test
  • Statistical test of variance

    explanatory (independent) variables, using a logistic function or multinomial distribution. Logistic regression measures the relationship between a categorical

    Omnibus test

    Omnibus_test

  • Discrete choice
  • Choice between two or more discrete alternatives

    which multinomial logit and nested logit belong Conditional probit - Allows full covariance among alternatives using a joint normal distribution. Mixed

    Discrete choice

    Discrete_choice

  • Random forest
  • Tree-based ensemble machine learning methods

    proposed and evaluated as base estimators in random forests, in particular multinomial logistic regression and naive Bayes classifiers. In cases that the relationship

    Random forest

    Random_forest

  • Good–Turing frequency estimation
  • Statistical technique developed by Alan Turing and I. J. Good

    during World War II. Turing at first modelled the frequencies as a multinomial distribution, but found it inaccurate. Good developed smoothing algorithms to

    Good–Turing frequency estimation

    Good–Turing_frequency_estimation

  • Natural exponential family
  • Class of probability distributions

    distributions can be abstracted due to the properties of the NEF described below. An example of the multivariate case is the multinomial distribution

    Natural exponential family

    Natural_exponential_family

  • Generalized Dirichlet distribution
  • Probability distribution

    boxes has a non-trivial effect, unlike experiment 1. Dirichlet-multinomial distribution Lukacs's proportion-sum independence theorem R. J. Connor and J

    Generalized Dirichlet distribution

    Generalized_Dirichlet_distribution

  • SaTScan
  • Software for spatial, temporal, and space-time scan statistics

    probability models, including Poisson distribution, Bernoulli distribution, Monte Carlo method, and multinomial distribution. Using these, it can look for areas

    SaTScan

    SaTScan

  • Lukacs's proportion-sum independence theorem
  • Theorem about independent random variables

    James E. (1962). "On the compound multinomial distribution, the multivariate β {\displaystyle \beta } distribution, and correlation among proportions"

    Lukacs's proportion-sum independence theorem

    Lukacs's_proportion-sum_independence_theorem

  • Centering matrix
  • Kind of matrix

    is the covariance matrix of the multinomial distribution, in the special case where the parameters of that distribution are k = n {\displaystyle k=n}

    Centering matrix

    Centering_matrix

  • Expected value of sample information
  • Trial data, trial data is simulated as a Monte Carlo sample from a Multinomial distribution. For example, when Trial_size=100, each Monte Carlo sample of Trial_data

    Expected value of sample information

    Expected_value_of_sample_information

  • Subjective logic
  • Type of probabilistic logic

    and can be represented as a Beta PDF (Probability Density Function). A multinomial opinion applies to a state variable of multiple possible values, and

    Subjective logic

    Subjective_logic

  • Probabilistic latent semantic analysis
  • Method for analyzing semantic data

    each co-occurrence as a mixture of conditionally independent multinomial distributions: P ( w , d ) = ∑ c P ( d ) P ( c | d ) P ( w | c ) = P ( d ) ∑

    Probabilistic latent semantic analysis

    Probabilistic_latent_semantic_analysis

AI & ChatGPT searchs for online references containing MULTINOMIAL DISTRIBUTION

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MULTINOMIAL DISTRIBUTION

  • Hollifield
  • Surname or Lastname

    English

    Hollifield

    English : habitational name from a place named in Old English with hālig ‘holy’ + Old English feld ‘open country’. This may be Holyfield in Essex (which belonged to Waltham Abbey), but the present-day distribution of the name (mainly in the Midlands and Wales) suggests that another source may be involved.

    Hollifield

  • Rushford
  • Surname or Lastname

    English

    Rushford

    English : apparently a habitational name from places named Rushford in Devon, Norfolk, and Warwickshire. However, in view of the present-day distribution of the surname, a more likely source is Ryshworth in Bingley, West Yorkshire, which was earlier called Rushford (from Old English rysc ‘rushes’ + ford ‘ford’).

    Rushford

  • Stansfield
  • Surname or Lastname

    English

    Stansfield

    English : habitational name from a place in West Yorkshire, probably named with the genitive case of the Old English personal name Stān ‘stone’, a byname or short form of any of various compound names with this as the first element (compare, for example, Stammer, Stannard) + Old English feld ‘pasture’, ‘open country’.English : alternatively, it may be a topographic name from Middle English stanesfeld ‘open country of the (standing) stone’, with reference to a prominent monolith. There are other places so called, for example in Suffolk, but the distribution suggests that the one in Yorkshire is the source of the surname.

    Stansfield

  • Hemingway
  • Surname or Lastname

    English (Yorkshire)

    Hemingway

    English (Yorkshire) : apparently a habitational name from a lost or unidentified minor place in West Yorkshire, probably in the parish of Halifax, to judge by the distribution of early occurrences of the surname.

    Hemingway

  • Hazleton
  • Surname or Lastname

    English

    Hazleton

    English : habitational name from any of various places named with this word: Hazleton Bottom (Hertfordshire), Hazleton Wood (Essex), or Hazelton (Gloucestershire), which is named from Old English hæsel ‘hazel’ + tūn ‘farmstead’, ‘settlement’. The present-day distribution of the surname points to the places in Essex and Gloucester as the likely sources.

    Hazleton

  • Singleton
  • Surname or Lastname

    English

    Singleton

    English : habitational name from places in Lancashire and Sussex. The former seems from the present-day distribution of the surname to be the major source, and is named from Old English scingel ‘shingle(s)’ + tūn ‘enclosure’, ‘settlement’; the latter gets its name from Old English sengel ‘burnt clearing’ + tūn.

    Singleton

  • Drust
  • Surname or Lastname

    English (Lincolnshire)

    Drust

    English (Lincolnshire) : unexplained. Black identified this as a Scottish name of Pictish origin. However, the modern distribution of the surname, almost exclusively in Lincolnshire and adjoining counties, suggests a more localized eastern English origin.

    Drust

  • Hunton
  • Surname or Lastname

    English

    Hunton

    English : habitational name from places so called in North Yorkshire, Hampshire, and Kent. The Yorkshire place is named from the Old English personal name Hūna + tūn ‘enclosure’, ‘settlement’; that in Hampshire from the genitive plural of hund ‘hound’ + tūn ‘enclosure’, ‘settlement’; and the Kentish place from Old English huntena, genitive plural of hunta ‘hunter’ + dūn ‘hill’. The present-day distribution shows clusters in North and South Yorkshire, and also in Norfolk.

    Hunton

  • Southall
  • Surname or Lastname

    English (chiefly West Midlands)

    Southall

    English (chiefly West Midlands) : habitational name from any of the various places so called, from Old English sūð ‘south’ + halh ‘nook’, ‘recess’. The distribution of the surname in Britain makes a Midlands origin likely: places called Southall in Doverdale, Worcestershire, and Billingsley, Shropshire, are possible sources.

    Southall

  • Derham
  • Surname or Lastname

    English

    Derham

    English : habitational name from Dearham in Cumbria or Dyrham in Gloucestershire, named from Old English dēor ‘deer’ + hām ‘settlement’, ‘homestead’, or hamm ‘enclosure hemmed in by water’, ‘river meadow’. There are places in Norfolk called East and West Dereham, which have the same etymology. However, the present-day distribution of the surname suggests that they probably did not contribute to the surname.Irish (mainly Dublin, Drogheda, and Cork) : of English origin, but MacLysaght takes this to be a variant of Durham.

    Derham

  • Luton
  • Surname or Lastname

    English

    Luton

    English : habitational name from the place in Bedfordshire (named in Old English as ‘settlement (Old English tūn) on the (river) Lea’), or, more plausibly in view of the pattern of distribution, from Luton in Devon (near Teignmouth), named in Old English as ‘Lēofgifu’s settlement’ (from an Old English female personal name composed of the elements lēof ‘dear’, ‘beloved’ + gifu ‘gift’). A further possible source of the name is Luton in Kent, named as the ‘settlement of Lēofa’.

    Luton

  • Lobb
  • Surname or Lastname

    English

    Lobb

    English : habitational name from a place in Devon, recorded in Domesday Book as Loba, apparently a topographical term meaning perhaps ‘lump’, ‘hill’, the village being situated at the bottom of a hill. There is also a place of the same name in Oxfordshire (recorded in 1208 as Lobbe), but the historical and contemporary distribution of the surname (which is still largely restricted to Devon), makes it unlikely that it ever derived from this place, or from Middle English, Old English lobbe ‘spider’.

    Lobb

  • Forshaw
  • Surname or Lastname

    English (Lancashire)

    Forshaw

    English (Lancashire) : habitational name from a place so called, perhaps Forshaw Heath in Solihull, Warwickshire, although the modern distribution is much further north.

    Forshaw

  • Harben
  • Surname or Lastname

    English

    Harben

    English : of uncertain derivation. The 18th-century parish registers of Marske, North Yorkshire, record the surname Hartburn with the variant Harburn; Harben may be a further variant of this. If so, its origin is probably topographic or habitational, from East Hartburn in Stockton-on-Tees or Hartburn in Northumberland, both named from Old English heorot ‘hart’ + burna ‘steam’. However, this conjecture is not borne out by the distribution of the surname a century later, when it occurs chiefly in Cambridgeshire and London and also with a significant presence in the Channel Islands, perhaps suggesting that it could be a variant of Harpin.

    Harben

  • Winship
  • Surname or Lastname

    English

    Winship

    English : of uncertain origin. Reaney suggests that it may be habitational name from Wincheap Street in Canterbury, but this origin is not supported by the present-day distribution of the surname, which is heavily concentrated in northeastern England.

    Winship

  • Longbottom
  • Surname or Lastname

    English (West Yorkshire)

    Longbottom

    English (West Yorkshire) : topographic name for someone who lived in a long valley, from Middle English long + botme, bothem ‘valley bottom’. Given the surname’s present-day distribution, Longbottom in Luddenden Foot, West Yorkshire, may be the origin, but there are also two places called Long Bottom in Hampshire, two in Wiltshire, and Longbottom Farm in Somerset and in Wiltshire.

    Longbottom

  • Elam
  • Surname or Lastname

    English

    Elam

    English : habitational name for someone from a place called Elham, in Kent, or a lost place of this name in Crayford, Kent. The first is derived from Old English ǣl ‘eel’ + hām ‘homestead’ or hamm ‘enclosure hemmed in by water’. There is also an Elam Grange in Bingley, West Yorkshire, but the current distribution of the name in the British Isles suggests that it did not contribute significantly to the surname.

    Elam

  • Worland
  • Surname or Lastname

    English (Cambridge)

    Worland

    English (Cambridge) : unexplained; perhaps a habitational name from a lost or unidentified place. There are two places in England called Warland, in Durham and West Yorkshire, but the distribution of the modern surname suggests that a different souce is most probably involved.

    Worland

  • Honeycutt
  • Surname or Lastname

    English

    Honeycutt

    English : habitational name from either of two places in Devon named Hunnacott, from either the Old English personal name Hunā or Old English hunig ‘honey’ + cot ‘cottage’. There is also a place named Huncoat in Lancashire, which has the same origin, but the distribution of the surname in England suggests that it probably did not contribute to the surname.

    Honeycutt

  • Tuckett
  • Surname or Lastname

    English (Devon)

    Tuckett

    English (Devon) : unexplained. Reaney and Wilson suggest that this may be from an Anglo-Scandinavian personal name Tukka, but the distribution in England makes a Scandinavian connection unlikely.

    Tuckett

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Online names & meanings

  • Mastikh | மஸ்தீக
  • Boy/Male

    Tamil

    Mastikh | மஸ்தீக

    Naughty

  • Ramkrishna | ராமக்ரிஷ்ண
  • Boy/Male

    Tamil

    Ramkrishna | ராமக்ரிஷ்ண

    Lord Rama and Lord Krishna

  • Spurling
  • Surname or Lastname

    English (mainly East Anglia)

    Spurling

    English (mainly East Anglia) : nickname from a diminutive of Middle English sparewe ‘sparrow’. Compare Sparrow.

  • Sisa
  • Girl/Female

    Bengali, Indian

    Sisa

    Mirror

  • Usamah
  • Boy/Male

    Arabic, Australian, Muslim

    Usamah

    Like a Lion; Description of a Lion

  • IRIT
  • Female

    Hebrew

    IRIT

    (עִירִית) Hebrew name IRIT means "animal fodder."

  • DARYL
  • Male

    English

    DARYL

    Variant spelling of English unisex Darryl, DARYL means "from Airelle."

  • Waseemah
  • Girl/Female

    Muslim/Islamic

    Waseemah

    Comely

  • Misty
  • Girl/Female

    Christian & English(British/American/Australian)

    Misty

    Covered in Mist

  • Hardwick
  • Surname or Lastname

    English (Yorkshire)

    Hardwick

    English (Yorkshire) : habitational name from any of numerous places, for example in South Yorkshire and Derbyshire, named Hardwick, from Old English heorde ‘herd’, ‘flock’ + wīc ‘outlying farm’.German and French (Lorraine) : from the Germanic personal name Hardwic, composed of the elements hard ‘hardy’, ‘brave’, ‘strong’ + wīg ‘battle’, ‘combat’.

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Other words and meanings similar to

MULTINOMIAL DISTRIBUTION

AI search in online dictionary sources & meanings containing MULTINOMIAL DISTRIBUTION

MULTINOMIAL DISTRIBUTION

  • Zoology
  • n.

    That part of biology which relates to the animal kingdom, including the structure, embryology, evolution, classification, habits, and distribution of all animals, both living and extinct.

  • Socialism
  • n.

    A theory or system of social reform which contemplates a complete reconstruction of society, with a more just and equitable distribution of property and labor. In popular usage, the term is often employed to indicate any lawless, revolutionary social scheme. See Communism, Fourierism, Saint-Simonianism, forms of socialism.

  • Nick
  • n.

    A notch cut crosswise in the shank of a type, to assist a compositor in placing it properly in the stick, and in distribution.

  • Sort
  • v. t.

    To conjoin; to put together in distribution; to class.

  • Yeoman
  • n.

    An interior officer under the boatswain, gunner, or carpenters, charged with the stowage, account, and distribution of the stores.

  • Station
  • n.

    A place calculated for the rendezvous of troops, or for the distribution of them; also, a spot well adapted for offensive measures. Wilhelm (Mil. Dict.).

  • Hyetography
  • n.

    The branch of physical science which treats of the geographical distribution of rain.

  • Hyetograph
  • n.

    A chart or graphic representation of the average distribution of rain over the surface of the earth.

  • Distribution
  • n.

    The act of distributing or dispensing; the act of dividing or apportioning among several or many; apportionment; as, the distribution of an estate among heirs or children.

  • Zoogeography
  • n.

    The study or description of the geographical distribution of animals.

  • Multinominal
  • a.

    Alt. of Multinominous

  • Ordering
  • n.

    Disposition; distribution; management.

  • Multinomial
  • n. & a.

    Same as Polynomial.

  • Polynomial
  • a.

    Containing many names or terms; multinominal; as, the polynomial theorem.

  • Distributional
  • a.

    Of or pertaining to distribution.

  • Lottery
  • n.

    A scheme for the distribution of prizes by lot or chance; esp., a gaming scheme in which one or more tickets bearing particular numbers draw prizes, and the rest of tickets are blanks. Fig. : An affair of chance.

  • Hyetal
  • a.

    Of or pertaining to rain; descriptive of the distribution of rain, or of rainy regions.

  • Hydrology
  • n.

    The science of water, its properties, phenomena, and distribution over the earth's surface.

  • Neuration
  • n.

    The arrangement or distribution of nerves, as in the leaves of a plant or the wings of an insect; nervation.

  • Symmetry
  • n.

    The law of likeness; similarity of structure; regularity in form and arrangement; orderly and similar distribution of parts, such that an animal may be divided into parts which are structurally symmetrical.