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CONDITIONAL VARIANCE

  • Conditional variance
  • Variance of a random variable given value of other variables

    In probability theory and statistics, a conditional variance is the variance of a random variable given the value(s) of one or more other variables. Particularly

    Conditional variance

    Conditional_variance

  • Conditional variance swap
  • Type of financial derivative

    A conditional variance swap is a type of variance swap or swap derivative product that allows investors to take exposure to volatility in the price of

    Conditional variance swap

    Conditional_variance_swap

  • Law of total variance
  • Theorem in probability theory

    total variance is a fundamental result in probability theory that expresses the variance of a random variable Y in terms of its conditional variances and

    Law of total variance

    Law_of_total_variance

  • Autoregressive conditional heteroskedasticity
  • Time series model

    the autoregressive conditional heteroskedasticity (ARCH) model is a statistical model for time series data that describes the variance of the current error

    Autoregressive conditional heteroskedasticity

    Autoregressive_conditional_heteroskedasticity

  • Variance
  • Statistical measure of how far values spread from their average

    In probability theory and statistics, variance is a measure of dispersion, meaning it is a measure of how far a set of numbers are spread out from their

    Variance

    Variance

    Variance

  • Homoscedasticity and heteroscedasticity
  • Statistical property

    all its random variables have the same finite variance; this is also known as homogeneity of variance. The complementary notion is called heteroscedasticity

    Homoscedasticity and heteroscedasticity

    Homoscedasticity and heteroscedasticity

    Homoscedasticity_and_heteroscedasticity

  • Conditional probability distribution
  • Probability theory and statistics concept

    corresponding names such as the conditional mean and conditional variance. More generally, one can refer to the conditional distribution of a subset of a

    Conditional probability distribution

    Conditional_probability_distribution

  • Conditional expectation
  • Expected value of a random variable given that certain conditions are known to occur

    In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated

    Conditional expectation

    Conditional_expectation

  • Bias–variance tradeoff
  • Property of a model

    In statistics and machine learning, the bias–variance tradeoff describes the relationship between a model's complexity, the accuracy of its predictions

    Bias–variance tradeoff

    Bias–variance tradeoff

    Bias–variance_tradeoff

  • Covariance matrix
  • Measure of covariance of components of a random vector

    matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix giving the covariance between

    Covariance matrix

    Covariance matrix

    Covariance_matrix

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

    inverting back to get the conditional covariance matrix. Note that knowing that x2 = a alters the variance, though the new variance does not depend on the

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • Fourier amplitude sensitivity testing
  • testing (FAST) is a variance-based global sensitivity analysis method. The sensitivity value is defined based on conditional variances which indicate the

    Fourier amplitude sensitivity testing

    Fourier_amplitude_sensitivity_testing

  • Analysis of variance
  • Collection of statistical models

    Analysis of variance (ANOVA) is a family of statistical methods used to compare the means of two or more groups by analyzing variance. Specifically, ANOVA

    Analysis of variance

    Analysis_of_variance

  • Random effects model
  • Statistical model

    Hierarchical linear modeling Fixed effects MINQUE Covariance estimation Conditional variance Panel analysis Baltagi, Badi H. (2008). Econometric Analysis of Panel

    Random effects model

    Random_effects_model

  • Mixed model
  • Statistical model containing both fixed effects and random effects

    the conditional variance of the outcome is not scalable to the identity matrix. When the conditional variance is known, then the inverse variance weighted

    Mixed model

    Mixed_model

  • Variance function
  • Smooth function in statistics

    statistics, the variance function is a smooth function that depicts the variance of a random quantity as a function of its mean. The variance function is

    Variance function

    Variance_function

  • Variance swap
  • Over-the-counter financial derivative

    swap, conditional variance swap, corridor variance swap, forward-start variance swap, option on realized variance and correlation trading. "Variance and

    Variance swap

    Variance_swap

  • Standard deviation
  • Measure of variation in statistics

    data set or probability distribution is the square root of its variance (the variance being the average of the squared deviations from the mean). A useful

    Standard deviation

    Standard deviation

    Standard_deviation

  • Uses of English verb forms
  • first, second or third conditional; there also exist "zero conditional" and mixed conditional sentences. A "first conditional" sentence expresses a future

    Uses of English verb forms

    Uses of English verb forms

    Uses_of_English_verb_forms

  • List of statistics articles
  • expectation Conditional independence Conditional probability Conditional probability distribution Conditional random field Conditional variance Conditionality principle

    List of statistics articles

    List_of_statistics_articles

  • Volatility risk
  • Risk arising from changes in market volatility affecting the value of financial positions

    financial instruments. These are volatility swaps, variance swaps, conditional variance swaps, variance options, VIX futures for equities, and (with some

    Volatility risk

    Volatility_risk

  • Francis Galton
  • British eugenist, polymath, and behavioural geneticist (1822–1911)

    chance, but rather that the regression coefficient, conditional variance, and population variance, were interdependent quantities related by a simple

    Francis Galton

    Francis Galton

    Francis_Galton

  • Law of total covariance
  • Formula in probability theory

    law of total variance. Some writers on probability call this the "conditional covariance formula" or use other names. Note: The conditional expected values

    Law of total covariance

    Law_of_total_covariance

  • Variance reduction
  • Mathematical procedure for reducing the variance of statistical estimators

    In mathematics, more specifically in the theory of Monte Carlo methods, variance reduction is a procedure used to increase the precision of the estimates

    Variance reduction

    Variance reduction

    Variance_reduction

  • Median
  • Middle quantile of a data set or probability distribution

    the minimum-variance mean (for large normal samples), which is to say the variance of the median will be ~50% greater than the variance of the mean.

    Median

    Median

    Median

  • Variance-based sensitivity analysis
  • Form of global sensitivity analysis

    Variance-based sensitivity analysis (often referred to as the Sobol’ method or Sobol’ indices, after Ilya M. Sobol’) is a form of global sensitivity analysis

    Variance-based sensitivity analysis

    Variance-based_sensitivity_analysis

  • Logistic regression
  • Statistical model for a binary dependent variable

    concerned with partitioning variance via the sum of squares calculations – variance in the criterion is essentially divided into variance accounted for by the

    Logistic regression

    Logistic regression

    Logistic_regression

  • English conditional sentences
  • Sentences of the form "if x, then y"

    headings zero conditional, first conditional (or conditional I), second conditional (or conditional II), third conditional (or conditional III) and mixed

    English conditional sentences

    English conditional sentences

    English_conditional_sentences

  • Spatial analysis
  • Techniques to study geometric data

    spatiotemporal dependence in the conditional variance of a process, extending the concept of Autoregressive conditional heteroskedasticity (ARCH) from time

    Spatial analysis

    Spatial analysis

    Spatial_analysis

  • Variance (land use)
  • by the zoning ordinance. Such a variance has much in common with a special-use permit (sometimes known as a conditional use permit). Some municipalities

    Variance (land use)

    Variance_(land_use)

  • Conditional probability
  • Probability of an event occurring, given that another event has already occurred

    In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event (by assumption, presumption

    Conditional probability

    Conditional probability

    Conditional_probability

  • Standard error
  • Statistical property

    has its own mean and variance. Mathematically, the variance of the sampling mean distribution obtained is equal to the variance of the population divided

    Standard error

    Standard error

    Standard_error

  • F-test
  • Statistical hypothesis test

    statistical test that compares variances. It is used to determine if the variances of two samples, or if the ratios of variances among multiple samples, are

    F-test

    F-test

    F-test

  • Simple linear regression
  • Linear regression model with a single explanatory variable

    mean β and variance σ 2 / ∑ i ( x i − x ¯ ) 2 , {\textstyle \sigma ^{2}\left/\sum _{i}(x_{i}-{\bar {x}})^{2}\right.,} where σ2 is the variance of the error

    Simple linear regression

    Simple linear regression

    Simple_linear_regression

  • Local volatility
  • Option pricing model

    The transition probability p ( t , S t ) {\displaystyle p(t,S_{t})} conditional to S 0 {\displaystyle S_{0}} satisfies the forward Kolmogorov equation

    Local volatility

    Local_volatility

  • Effective population size
  • Ecological concept

    genetic drift. In the Wright-Fisher idealized population model, the conditional variance of the allele frequency p ′ {\displaystyle p'} , given the allele

    Effective population size

    Effective_population_size

  • Student's t-test
  • Statistical hypothesis test

    t-tests, though strictly speaking that name should only be used if the variances of the two populations are also assumed to be equal; the form of the test

    Student's t-test

    Student's_t-test

  • Slippage (finance)
  • Difference between estimated transaction costs and the amount actually paid

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Slippage (finance)

    Slippage_(finance)

  • Normal distribution
  • Probability distribution

    inverse gamma distribution over the variance, and a normal distribution over the mean, conditional on the variance) and with the same four parameters just

    Normal distribution

    Normal distribution

    Normal_distribution

  • SABR volatility model
  • Stochastic volatility model used in derivatives markets

    Jaehyuk; Wu, Lixin (July 2021). "The equivalent constant-elasticity-of-variance (CEV) volatility of the stochastic-alpha-beta-rho (SABR) model". Journal

    SABR volatility model

    SABR_volatility_model

  • Index of dispersion
  • Normalized measure of the dispersion of a probability distribution

    dispersion, dispersion index, coefficient of dispersion, relative variance, or variance-to-mean ratio (VMR), like the coefficient of variation, is a normalized

    Index of dispersion

    Index_of_dispersion

  • Linear probability model
  • Statistics model

    from the previous iteration is used to supply estimates of the conditional variances, Var ⁡ ( Y | X = x ) {\displaystyle \operatorname {Var} (Y|X=x)}

    Linear probability model

    Linear_probability_model

  • Covariance
  • Measure of the joint variability

    behavior. The magnitude of the covariance is the geometric mean of the variances that are shared for the two random variables, where a larger magnitude

    Covariance

    Covariance

  • Modern portfolio theory
  • Mathematical framework for investment risk

    Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of financial assets such that the expected

    Modern portfolio theory

    Modern portfolio theory

    Modern_portfolio_theory

  • Generalized least squares
  • Statistical estimation technique

    a linear function of X {\displaystyle \mathbf {X} } and that the conditional variance of the error term given X {\displaystyle \mathbf {X} } is a known

    Generalized least squares

    Generalized_least_squares

  • Binomial regression
  • Regression analysis technique

    specified as a function θ(X). This implies that the conditional expectation and conditional variance of the observed fraction of successes, Y/n, are E (

    Binomial regression

    Binomial_regression

  • Conditional independence
  • Probability theory concept

    hypothesis. It is the opposite of conditional dependence. Conditional independence is usually formulated in terms of conditional probability, as a special case

    Conditional independence

    Conditional independence

    Conditional_independence

  • Computerized adaptive testing
  • Form of computer-based test that adapts to the examinee's ability level

    function of the discrimination parameter of the item, as well as the conditional variance and pseudo-guessing parameter (if used).[citation needed] After an

    Computerized adaptive testing

    Computerized_adaptive_testing

  • Basis trading
  • Arbitrage strategy

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Basis trading

    Basis_trading

  • Treasury basis trade
  • Treasury basis trading: bond and futures arbitrage strategy

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Treasury basis trade

    Treasury_basis_trade

  • Explained variation
  • Concept in mathematical modelling

    given data set. Often, variation is quantified as variance; then, the more specific term explained variance can be used. The complementary part of the total

    Explained variation

    Explained_variation

  • Minimum-variance unbiased estimator
  • Unbiased statistical estimator minimizing variance

    minimum-variance unbiased estimator (MVUE) or uniformly minimum-variance unbiased estimator (UMVUE) is an unbiased estimator that has lower variance than

    Minimum-variance unbiased estimator

    Minimum-variance_unbiased_estimator

  • Law of total probability
  • Concept in probability theory

    probability is a fundamental rule relating marginal probabilities to conditional probabilities. It expresses the total probability of an outcome which

    Law of total probability

    Law of total probability

    Law_of_total_probability

  • Tobias Adrian
  • German and American economist (born 1971)

    American Economic Review, 2019) shows that the conditional mean and conditional variance of GDP growth are negatively correlated, so that lower quantiles

    Tobias Adrian

    Tobias Adrian

    Tobias_Adrian

  • Generalized linear model
  • Class of statistical models

    conditional on X; Xβ is the linear predictor, a linear combination of unknown parameters β; g is the link function. In this framework, the variance is

    Generalized linear model

    Generalized_linear_model

  • Corporate bond
  • Bond issued by a corporation

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Corporate bond

    Corporate_bond

  • Principal component analysis
  • Method of data analysis

    original variables that explains the most variance. The second principal component explains the most variance in what is left once the effect of the first

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • Econometrics of risk
  • Econometric analysis of financial risk

    choice under uncertainty. Autoregressive conditional heteroskedasticity models (ARCH) allow conditional variance to depend on past shocks, capturing volatility

    Econometrics of risk

    Econometrics_of_risk

  • Coefficient of variation
  • Relative measure of dispersion expressed as the ratio of standard deviation to the mean

    distribution) are considered low-variance, while those with CV > 1 (such as a hyper-exponential distribution) are considered high-variance[citation needed]. Some

    Coefficient of variation

    Coefficient_of_variation

  • Credit-linked note
  • Form of funded credit derivative

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Credit-linked note

    Credit-linked_note

  • Basu's theorem
  • Theorem in statistics

    theorem. An example of this is to show that the sample mean and sample variance of a normal distribution are independent statistics, which is done in the

    Basu's theorem

    Basu's_theorem

  • Supervised learning
  • Machine learning paradigm

    regression (predicting a numerical value, e.g., a house price), and conditional density estimation (predicting the probability distribution of the output

    Supervised learning

    Supervised learning

    Supervised_learning

  • Government debt
  • Total amount of debt owed to lenders by a government/state

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Government debt

    Government debt

    Government_debt

  • Analysis of covariance
  • General linear model that blends ANOVA and regression

    decomposes the variance in the DV into variance explained by the CV(s), variance explained by the categorical IV, and residual variance. Intuitively, ANCOVA

    Analysis of covariance

    Analysis_of_covariance

  • Linear regression
  • Statistical modeling method

    commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability

    Linear regression

    Linear regression

    Linear_regression

  • Central limit theorem
  • Fundamental theorem in probability theory and statistics

    with expected value (average) μ {\displaystyle \mu } and finite positive variance σ 2 {\displaystyle \sigma ^{2}} , and let X ¯ n {\displaystyle {\bar {X}}_{n}}

    Central limit theorem

    Central limit theorem

    Central_limit_theorem

  • Bias of an estimator
  • Statistical property

    of transformations); for example, the sample variance is a biased estimator for the population variance. These are all illustrated below. An unbiased

    Bias of an estimator

    Bias_of_an_estimator

  • Risk-free rate
  • Hypothetical interest rate on a risk-free investment

    of the description of utility of stock holding to the expected mean and variance of the returns of the portfolio. In reality, there may be other utility

    Risk-free rate

    Risk-free_rate

  • Point estimation
  • Parameter estimation via sample statistics

    estimate" of an unknown quantity, for example, the population mean, the variance of a distribution, or a model parameter (in a parametric model). Point

    Point estimation

    Point_estimation

  • Actor–partner interdependence model
  • Statistical framework for analyzing data from dyads

    predictors; as predictors are added, comparing unconditional and conditional variance–covariance estimates can be used to quantify how much non-independence

    Actor–partner interdependence model

    Actor–partner_interdependence_model

  • Degrees of freedom (statistics)
  • Number of values in the final calculation of a statistic that are free to vary

    intermediate steps in the estimation of the parameter itself. For example, if the variance is to be estimated from a random sample of N {\textstyle N} independent

    Degrees of freedom (statistics)

    Degrees_of_freedom_(statistics)

  • Joint probability distribution
  • Type of probability distribution

    other variables, and the conditional probability distribution giving the probabilities for any subset of the variables conditional on particular values of

    Joint probability distribution

    Joint probability distribution

    Joint_probability_distribution

  • Jackknife resampling
  • Statistical method for resampling

    therefore, a form of resampling. It is especially useful for bias and variance estimation. The jackknife pre-dates other common resampling methods such

    Jackknife resampling

    Jackknife resampling

    Jackknife_resampling

  • Real options valuation
  • Capital budgeting analysis term

    Put–call parity, Vanna–Volga Swaps Amortising Asset Basis Commodity Conditional variance Constant maturity Correlation Credit default Currency Dividend Equity

    Real options valuation

    Real_options_valuation

  • Pearson correlation coefficient
  • Measure of linear correlation

    {\displaystyle r_{xy}} by substituting estimates of the covariances and variances based on a sample into the formula above. Given paired data { ( x 1 ,

    Pearson correlation coefficient

    Pearson correlation coefficient

    Pearson_correlation_coefficient

  • Siddhartha Chib
  • Statistician and econometrician

    jeconom.2009.11.002. Chib, Siddhartha; Greenberg, Edward (2013). "On conditional variance estimation in nonparametric regression" (PDF). Statistics and Computing

    Siddhartha Chib

    Siddhartha_Chib

  • Homogeneity and heterogeneity (statistics)
  • Descriptions of properties of datasets

    Engle, Robert F. (July 1982). "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation". Econometrica.

    Homogeneity and heterogeneity (statistics)

    Homogeneity_and_heterogeneity_(statistics)

  • The
  • Definite article in English

    English Conditional sentences Copula Do-support Inversion Periphrasis Zero-marking Orthography Abbreviations Capitalization Comma Hyphen Variance African-American

    The

    The

    The

  • Generalized functional linear model
  • Mathematical model for stochastic processes

    where instead of the distribution of the response one specifies the conditional variance function, V a r ( Y ∣ X ) = σ 2 ( μ ) {\displaystyle {\rm {{Var}(Y\mid

    Generalized functional linear model

    Generalized_functional_linear_model

  • Diversification (finance)
  • Risk reduction technique

    perfect synchrony, a diversified portfolio will have less variance than the weighted average variance of its constituent assets, and often less volatility

    Diversification (finance)

    Diversification (finance)

    Diversification_(finance)

  • Rao–Blackwell theorem
  • Statistical theorem

    kind of estimator of a parameter θ {\displaystyle \theta } , then the conditional expectation of δ ( X ) {\displaystyle \delta (X)} given T ( X ) {\displaystyle

    Rao–Blackwell theorem

    Rao–Blackwell_theorem

  • Expected shortfall
  • Risk measure estimating the average loss in the worst tail of the distribution

    shortfall is also called conditional value at risk (CVaR), average value at risk (AVaR), tail value at risk (TVaR), conditional tail expectation (CTE),

    Expected shortfall

    Expected_shortfall

  • Harmonic mean
  • Inverse of the average of the inverses of a set of numbers

    Assuming that the variance is not infinite and that the central limit theorem applies to the sample then using the delta method, the variance is Var ⁡ ( H

    Harmonic mean

    Harmonic_mean

  • Statistical dispersion
  • Statistical property quantifying how much a collection of data is spread out

    statistical dispersion are the variance, standard deviation, and interquartile range. For instance, when the variance of data in a set is large, the data

    Statistical dispersion

    Statistical dispersion

    Statistical_dispersion

  • Least squares
  • Approximation method in statistics

    the errors have expectation zero conditional on the independent variables, are uncorrelated and have equal variances, the best linear unbiased estimator

    Least squares

    Least squares

    Least_squares

  • Blackwell-Girshick equation
  • Variance of random sum

    (X_{1})} . The Blackwell-Girshick equation can be derived using conditional variance and variance decomposition. If the X i {\displaystyle X_{i}} are natural

    Blackwell-Girshick equation

    Blackwell-Girshick_equation

  • Cluster-weighted modeling
  • Approach in data mining

    conditional probability density p(y|x) from which the prediction using the conditional expected value can be obtained, with the conditional variance providing

    Cluster-weighted modeling

    Cluster-weighted_modeling

  • Bart Kosko
  • American academic

    systems, ratio measures of fuzziness, the shape of fuzzy sets, the conditional variance of fuzzy systems, and the geometric view of (finite) fuzzy sets as

    Bart Kosko

    Bart_Kosko

  • Regression analysis
  • Set of statistical processes for estimating the relationships among variables

    have an expected value of zero, conditional on covariates: E ( e i | X i ) = 0 {\displaystyle E(e_{i}|X_{i})=0} The variance of the residuals e i {\displaystyle

    Regression analysis

    Regression analysis

    Regression_analysis

  • Resampling (statistics)
  • Family of statistical methods based on sampling of available data

    used in statistical inference to estimate the bias and standard error (variance) of a statistic, when a random sample of observations is used to calculate

    Resampling (statistics)

    Resampling_(statistics)

  • English subjunctive
  • English embedded clause type marking non-real possibilities

    in related languages, especially Old English and Latin. This includes conditional clauses, wishes, and reported speech. Modern descriptive grammars limit

    English subjunctive

    English subjunctive

    English_subjunctive

  • Student's t-distribution
  • Probability distribution

    a normal family as a compound distribution when marginalizing over the variance parameter. Student's t distribution has the probability density function

    Student's t-distribution

    Student's t-distribution

    Student's_t-distribution

  • Prediction interval
  • Estimate of an interval in which future observations will fall

    future observation X in a normal distribution N(μ,σ2) with known mean and variance may be calculated from γ = P ( ℓ < X < u ) = P ( ℓ − μ σ < X − μ σ < u

    Prediction interval

    Prediction_interval

  • Gibbs sampling
  • Monte Carlo algorithm

    mean and variance, the conditional distribution of one node given the others after compounding out both the mean and variance will be a Student's t-distribution

    Gibbs sampling

    Gibbs_sampling

  • Correlation
  • Statistical relationship

    variables of a numerical dataset normalized to the square root of their variances. Equivalently, Pearson's correlation coefficient can be calculated by

    Correlation

    Correlation

    Correlation

  • Probability space
  • Mathematical concept

    definition of probability spaces gives rise to the natural concept of conditional probability. Every set A with non-zero probability (that is, P(A) > 0)

    Probability space

    Probability space

    Probability_space

  • Law of large numbers
  • Averages of repeated trials converge to the expected value

    The variance of the sum is equal to the sum of the variances, which is asymptotic to n 2 / log ⁡ n {\displaystyle n^{2}/\log n} . The variance of the

    Law of large numbers

    Law of large numbers

    Law_of_large_numbers

  • Bayesian inference
  • Method of statistical inference

    importance of conditional probability by writing "I wish to call attention to ... and especially the theory of conditional probabilities and conditional expectations

    Bayesian inference

    Bayesian_inference

  • Kurtosis
  • Fourth standardized moment in statistics

    For non-normal samples, the variance of the sample variance depends on the kurtosis; for details, please see variance. Pearson's definition of kurtosis

    Kurtosis

    Kurtosis

  • Akaike information criterion
  • Estimator for quality of a statistical model

    (with zero mean), then the model has three parameters: b0, b1, and the variance of the Gaussian distributions. Thus, when calculating the AIC value of

    Akaike information criterion

    Akaike_information_criterion

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