Searches , social queries for UPPER AND-LOWER-PROBABILITIES
Search references for UPPER AND-LOWER-PROBABILITIES. Phrases containing UPPER AND-LOWER-PROBABILITIES
See searches and references containing UPPER AND-LOWER-PROBABILITIES!
Search references for UPPER AND-LOWER-PROBABILITIES. Phrases containing UPPER AND-LOWER-PROBABILITIES
See searches and references containing UPPER AND-LOWER-PROBABILITIES!UPPER AND-LOWER-PROBABILITIES
Representations of imprecise probability
Upper and lower probabilities are representations of imprecise probability. Whereas probability theory uses a single number, the probability, to describe
Upper_and_lower_probabilities
Probability theory for low quality data
evidence theory lower and upper probabilities, or interval probabilities belief functions possibility and necessity measures lower and upper previsions comparative
Imprecise_probability
Applications of logic under uncertainty
causation Uncertain inference Upper and lower probabilities James Franklin, The Science of Conjecture: Evidence and Probability before Pascal, 2001 The Johns
Probabilistic_logic
Mathematical framework to model epistemic uncertainty
Imprecise probability – Probability theory for low quality data Upper and lower probabilities – Representations of imprecise probability Possibility
Dempster–Shafer_theory
Property of functions which is weaker than continuity
, and upper semi-continuous if − f {\displaystyle -f} is lower semi-continuous. A function is continuous if and only if it is both upper and lower semicontinuous
Semi-continuity
Mathematical theory for handling uncertainty
Probabilistic logic Random-fuzzy variable Transferable belief model Upper and lower probabilities Dubois, D.; Prade, H.: Possibility Theory: An Approach to Computerized
Possibility_theory
count Unseen species problem Unsolved problems in statistics Upper and lower probabilities Upside potential ratio – finance Urn problem Ursell function
List_of_statistics_articles
Process of using data analysis for predicting population data from sample data
a special case of an inference theory using upper and lower probabilities. Developing ideas of Fisher and of Pitman from 1938 to 1939, George A. Barnard
Statistical_inference
American mathematician (1929–2026)
theory with Glenn Shafer, and the expectation-maximization (EM) algorithm. Dempster, A. P. (1967), "Upper and lower probabilities induced by a multivalued
Arthur_P._Dempster
Statistic which divides data into four same-sized parts for analysis
about both the center and the spread of the data. Knowing the lower and upper quartile provides information on how big the spread is and if the dataset is
Quartile
Mathematical function for the probability a given outcome occurs in an experiment
In probability theory and statistics, a probability distribution describes how probabilities are assigned to the possible results of a random phenomenon—more
Probability_distribution
Concept in probability
of F. P-boxes serve the same role for random variables that upper and lower probabilities serve for events. In robust Bayes analysis a p-box is also known
Probability_box
Probability distribution
In probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b, and mode
Triangular_distribution
Statistical Markov model
two types, transition probabilities and emission probabilities (also known as output probabilities). The transition probabilities control the way the hidden
Hidden_Markov_model
Family of continuous probability distributions
whose upper bound is zmax and lower bound is 0, which is also a natural example for having two inflations as many reservoirs have nonzero probabilities for
Kumaraswamy_distribution
Concept in number theory
begins with the digit 1 similarly has no natural density: the lower density is 1/9 and the upper density is 5/9. (See Benford's law.) Consider an equidistributed
Natural_density
Measure of statistical dispersion
the lower quartile), Q2 (the median), and Q3 (also called the upper quartile). The lower quartile corresponds with the 25th percentile and the upper quartile
Interquartile_range
Probabilities of the presence of a condition
Pre-test probability and post-test probability (alternatively spelled pretest and posttest probability) are the probabilities of the presence of a condition
Pre- and post-test probability
Pre-_and_post-test_probability
Observed value of a random variable
function or empirical probability. Conventionally, to avoid confusion, upper case letters denote random variables and the corresponding lower case letters denote
Realization_(probability)
Set of probability measures
[citation needed] Imprecise probability Dempster–Shafer theory Probability box Robust Bayes analysis Upper and lower probabilities Levi, Isaac (1980). The
Credal_set
Concept in information theory
unknown distribution p will tend to assign higher probabilities q(xi) to the test events. Thus, they have lower perplexity: they are less surprised by the test
Perplexity
Measured values that are relatively normal for a particular medical test
limits are called the upper reference limit (URL) or upper limit of normal (ULN) and the lower reference limit (LRL) or lower limit of normal (LLN).
Reference_range
Written work by John Maynard Keynes
reason') to justify treating some probabilities as necessarily equal. In Chapter 5 'Other Methods of Determining Probabilities' Keynes gives some examples of
A_Treatise_on_Probability
Functional relationship between two quantities
J., 'Completion of the standard power-law model by including upper and lower probability bounds' (2023). "9na CEPAL Charlas Sobre Sistemas Complejos Sociales
Power_law
Programming paradigm
programming is a programming paradigm that combines logic programming with probabilities. Most approaches to probabilistic logic programming are based on the
Probabilistic logic programming
Probabilistic_logic_programming
Probability distribution
independent with probabilities remaining constant between them, any sequence of n trials with k successes (and n − k failures) has the same probability of being
Binomial_distribution
Mathematical method of assigning a prior probability to a given observation
0\leq \sum _{x}P(x)<1} . That is, the "probability" does not actually sum up to one, unlike actual probabilities. This is because some inputs to the Turing
Algorithmic_probability
Probability theory upper bound
probability distribution. Let M and m be upper and lower bounds on the values of any random variable with a particular probability distribution. Then Popoviciu's
Popoviciu's inequality on variances
Popoviciu's_inequality_on_variances
:F(x)\geq q\}} , that is, the inverse of the cumulative probability distribution function for q. The upper tail dependence is defined analogously as λ u = lim
Tail_dependence
Problem in geometric probability
sets the minimum probability that can be achieved is unknown, but has upper and lower bounds that are both near 0.380. Sylvester, and Arthur Cayley, presumed
Sylvester's four point problem
Sylvester's_four_point_problem
Conjecture in probabilistic combinatorics
upper bunk and their corresponding edges in the lower bunk share the same probability. The probabilities assigned to the posts can be arbitrary. A random
Bunkbed_conjecture
Probability that two elements of a group commute
(this upper bound is attained by A 5 {\displaystyle {\mathfrak {A}}_{5}} , the alternating group of degree 5). The set of commuting probabilities of finite
Commuting_probability
Papuan language of Indonesian New Guinea (Papua)
Upper Bele, Lower Bele, Lower Kimbin (Kibin), and Upper Pyramid. Hupla, traditionally considered a separate language, is closer to Lower Grand Valley
Grand_Valley_Dani_language
which the uniform distribution is a special case, and which is useful in estimating success probabilities. The four-parameter Beta distribution, a straight-forward
List of probability distributions
List_of_probability_distributions
and quantitative modes (interval probabilities, belief functions, upper and lower previsions, ...). Imprecise probability models are needed in inference
Interval_finite_element
N}A_{n}} Glossary of probability and statistics Combinations and permutations History of mathematical notation "Calculating Probabilities from Cumulative Distribution
Notation in probability and statistics
Notation_in_probability_and_statistics
Statistical confidence interval for success counts
accuracy and computational intensity. A simple example of a binomial distribution is the set of various possible outcomes, and their probabilities, for the
Binomial proportion confidence interval
Binomial_proportion_confidence_interval
Vector with non-negative entries that add up to one
the distribution of probabilities across the n possible numerical outcomes of a random variable. The vector gives us the probability mass function of that
Probability_vector
Decision rules for interpreting control-chart data
handbook also identifies patterns that require consideration of both the upper and lower halves of the control chart together for identification: Nelson rules
Western_Electric_rules
Technique used in the field of human reliability assessment (HRA)
account for performance-shaping factors that may influence these probabilities. The probabilities for the human reliability analysis event tree (HRAET), for
Technique for human error-rate prediction
Technique_for_human_error-rate_prediction
distribution of the parameter and lCPOS is the lower bound of the credible interval of CPOS. The first criterion ensures that the probability of success is large
Probability_of_success
Variable in statistics and risk management
different definitions of bPOE, so called Lower bPOE and Upper bPOE. For a random variable, X {\displaystyle X} the Lower bPOE, p ¯ x ( X ) {\displaystyle {\bar
Buffered probability of exceedance
Buffered_probability_of_exceedance
Early Quranic palimpsest
partial reconstruction of the lower text was published in 2012, and a reconstruction of the legible portions of both lower and upper texts of the 38 folios in
Sanaa_manuscript
equivalently an upper bound for the probability that it lies further away. The sole restrictions on the distribution are that it be unimodal and have finite
Vysochanskij–Petunin inequality
Vysochanskij–Petunin_inequality
Analysis of values below a reference point
Sometimes it is possible to fit one type of probability distribution to the lower part of the data range and another type to the higher part, separated
Cumulative_frequency_analysis
Discrete probability distribution
In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a
Poisson_distribution
Concept in cryptography theory
upper bound on the cost) and lower bound strategies have been developed. For most functions, there is a large gap between the known upper and lower bound
Conditional disclosure of secrets
Conditional_disclosure_of_secrets
Distribution concentrated on a set of measure zero
Less curious examples appear in higher dimensions. For example, the upper and lower Fréchet–Hoeffding bounds are singular distributions in two dimensions
Singular_distribution
Randomness Statistical dispersion Statistical regularity Uncertainty Upper and lower probabilities Urn problem Algebra of random variables Belief propagation Dempster–Shafer
Catalog of articles in probability theory
Catalog_of_articles_in_probability_theory
Probability distribution
same as saying that there is an 80% probability that the true mean lies between a particular pair of upper and lower thresholds that have been calculated
Student's_t-distribution
Concept in probability theory
In probability theory, Markov's inequality gives an upper bound on the probability that a non-negative random variable is greater than or equal to some
Markov's_inequality
Set of descriptive statistics
called the upper and lower quartiles. If data are placed in order, then the lower quartile is central to the lower half of the data and the upper quartile
Five-number_summary
quantitative models (interval probabilities, belief functions, upper and lower previsions,...). Imprecise probability models are needed in inference
SIPTA
Form of entropy encoding used in data compression
interval [0, 1) into sub-intervals proportional to symbol probabilities. When symbol probabilities are unequal, more probable symbols receive larger sub-intervals
Arithmetic_coding
Device to determine relative phase shift
estimating these probabilities. It is interesting to consider what would happen if the photon were definitely in either the "lower" or "upper" paths between
Mach–Zehnder_interferometer
Rules in probabilistic logic
the probabilities of the two kinds of joint events given the probabilities of the individual events. For example, if A is "has lung cancer", and B is
Fréchet_inequalities
Formula for the probability that a system will change between two energy states
Stueckelberg, and Ettore Majorana, in 1932. If the system starts, in the infinite past, in the lower energy eigenstate, we wish to calculate the probability of finding
Landau–Zener_formula
Technique in evolutionary study
example to explore the space of lower trees. Moreover, probabilistic models can be integrated into larger models, as probabilities simply multiply when assuming
Phylogenetic_reconciliation
Data visualization
indicating variability outside the upper and lower quartiles, thus, the plot is also called the box-and-whisker plot and the box-and-whisker diagram. Outliers
Box_plot
Interval bounded by an upper and a lower limit statistics
there is a 100γ% confidence that the parameter of interest is within a lower and upper bound. A common misconception of confidence intervals is 100γ% of the
Interval_estimation
Rare neurodegenerative disease
neurodegenerative disease defined by the progressive loss of both upper and lower motor neurons that normally control voluntary muscle contraction. ALS
ALS
In mathematics and computer science, the method of conditional probabilities is a systematic method for converting non-constructive probabilistic existence
Method of conditional probabilities
Method_of_conditional_probabilities
Complete subgraph added to a random graph
(with high probability) a clique of size k {\displaystyle k} << n 0.5 {\displaystyle n^{0.5}} in a random graph with n {\displaystyle n} nodes and a hidden
Planted_clique
Large tooth at the back of the human mouth
Numbering System the right and left upper wisdom teeth are numbered 1 and 16 and the right and left lower wisdom teeth are 32 and 17. Agenesis of wisdom teeth
Wisdom_tooth
Probability distribution
a lower bound a and an upper bound d, where a < d, beyond which no values or events on the distribution can occur (i.e. beyond which the probability is
Trapezoidal_distribution
Continuous probability distribution
distribution defined by a unique convex quadratic function with lower limit a and upper limit b. f ( x | a , b , α , β ) = α ( x − β ) 2 , for x ∈ [ a
U-quadratic_distribution
Distribution of an uncertain quantity
uninformative prior. Some attempts have been made at finding a priori probabilities, i.e., probability distributions in some sense logically required by the nature
Prior_probability
parameter, such as a population mean, defined as an interval with a lower bound and an upper bound. The precise values of these bounds are calculated from a
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Probability of shared birthdays
and let the complementary event B be that of a group of k people contains at least two people who share a birthday. Then the probabilities P(A) and P(B)
Birthday_problem
Continuous probability distribution
belief-based probability representations. Because belief-based probabilities can take on any shape and may have natural bounds, probability distributions
Metalog_distribution
American school entrance exam
four options presented. On the Upper and Middle Levels there are 40 questions to be answered in 20 minutes. On the Lower Level there are 34 questions to
Independent School Entrance Examination
Independent_School_Entrance_Examination
Quantum mechanics thought experiment
through the mirror and travel along the "lower path" inside the box, or be reflected at a 90-degree angle and travel along the box's "upper path". The bomb
Elitzur–Vaidman_bomb_tester
Bound on probability of a random variable being far from its mean
Paley–Zygmund inequality gives a lower bound on tail probabilities, as opposed to Chebyshev's inequality which gives an upper bound. Applying it to the square
Chebyshev's_inequality
Probability distribution
In probability theory and statistics, the gamma distribution is a versatile two-parameter family of continuous probability distributions. The exponential
Gamma_distribution
Subadditive or superadditive integral
and capacities. In imprecise probability theory, the Choquet integral is also used to calculate the lower expectation induced by a 2-monotone lower probability
Choquet_integral
certain games have a minimax value. If A and B are Hausdorff compact spaces, and K is an upper semicontinuous or lower semicontinuous function on A × B {\displaystyle
Glicksberg's_theorem
In probability, a theory
Analysis: Techniques for Censored and Truncated Data. New York: Springer. p. 27. ISBN 0-387-95399-X. "Upper & lower bounds for the normal distribution
Mills_ratio
Convergence of Relative Frequencies of Events to Their Probabilities". Theory of Probability & Its Applications. 16 (2): 264. doi:10.1137/1116025. This
Growth_function
Probability function
deviation principle quantifies the asymptotic probability of rare events for a sequence of probabilities. A rate function is also called a Cramér function
Rate_function
Average uncertainty in variable's states
'10', and 'D' as '11'. However, if the probabilities of each letter are unequal, say 'A' occurs with 70% probability, 'B' with 26%, and 'C' and 'D' with
Entropy_(information_theory)
Bayesian nonparametric model of probability distributions
_{G_{0}\in \mathbb {P} }\int f\,dG_{0}=\sup f,} the lower (upper) bound is obtained by a probability measure that puts all the mass on the infimum (supremum)
Imprecise_Dirichlet_process
Student
tail probability is 1 − P {\displaystyle \mathbb {P} } (y ≤ z). Because normal distributions are symmetric, the upper and lower tail probabilities will
Additive disequilibrium and z statistic
Additive_disequilibrium_and_z_statistic
Probability that random variable X is less than or equal to x
of probabilities and address the cumulative probability for each potential range of X and Y, and here is the example: given the joint probability mass
Cumulative distribution function
Cumulative_distribution_function
In computer vision and image processing
calculates mean μ upper [ 1 ] {\displaystyle \mu _{\text{upper}}^{[1]}} of pixels above η 1 {\displaystyle \eta _{1}} and mean μ lower [ 1 ] {\displaystyle
Otsu's_method
On minimizing crossings in bicliques
given by the Zarankiewicz bound. Closing the gap between this lower bound and the upper bound remains an open problem. If edges are required to be drawn
Turán's_brick_factory_problem
Type of matrix factorization
analysis and linear algebra, lower–upper (LU) decomposition or factorization factors a matrix as the product of a lower triangular matrix and an upper triangular
LU_decomposition
Communications channel where bits may be dropped without notice
expression[citation needed]. Several upper and lower bounds are known. Mitzenmacher, Michael (2009), "A survey of results for deletion channels and related synchronization
Deletion_channel
Statistical distribution
are the parameters of the distribution, which are the lower and upper bounds of the support, and ln {\displaystyle \ln } is the natural log. The cumulative
Reciprocal_distribution
Probability distribution
prediction gives probabilities that are perfectly calibrated, for any underlying true parameter values. Perfectly calibrated probabilities have the property
Exponential_distribution
Problem in geometric probability
In geometric probability, the broken stick problem asks for the probability that one can form a triangle from the three parts of a line segment that has
Broken_stick_problem
Entropy coding method
symbols and their probabilities, a range coder produces a space-efficient stream of bits to represent these symbols and, given the stream and the probabilities
Range_coding
with probabilities p 1 , . . . p h {\displaystyle p_{1},...p_{h}} respectively. Alternatively, a randomised decision rule may assign probabilities directly
Randomised_decision_rule
{\displaystyle PSM^{k}(f)} . There is a large gap between the best upper and lower bounds on the PSM model. For every function, it is known that the communication
Private simultaneous message passing
Private_simultaneous_message_passing
Probability distribution that has the most entropy of a class
where the positive constants C and r can be determined by the requirements that the sum of all the probabilities must be 1 and the expected value must be
Maximum entropy probability distribution
Maximum_entropy_probability_distribution
Lower bound on the log-likelihood of some observed data
and we want to find its true distribution p ∗ {\displaystyle p^{*}} . This would allow us to generate data by sampling, and estimate probabilities of
Evidence_lower_bound
Concept in theoretical computer science
also impose a lower limit on growth rates, as well as upper and lower bounds on rates of convergence. In 1964 Milton Green developed a lower bound for the
Busy_beaver
Mnemonic technique for memorizing long strings of numbers
Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi. In this, Gardner traces the history of the system back to similar systems of Pierre Hérigone and Richard
Mnemonic_major_system
Mathematical theory
The sum S of the probabilities of all programs must be exactly equal to one (as per the definition of probability) thus the probabilities must roughly decrease
Solomonoff's theory of inductive inference
Solomonoff's_theory_of_inductive_inference
Mathematical method of risk analysis
probabilities without dependence assumptions. Bounding probabilities has continued to the present day (e.g., Walley's theory of imprecise probability
Probability_bounds_analysis
Concept in probability theory
with black, and the lower and right side with white. Then color the other hexagons “white” or “black” independently with equal probability 1/2. There is
Schramm–Loewner_evolution
travel, tourism, insurance
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
UPPER AND-LOWER-PROBABILITIES
travel, tourism, insurance