Expectation identity of the hypergeometric distribution and its application in the calculations of high-order origin moments

DOI10.1080/03610926.2021.2024235OpenAlexW4225901339MaRDI QIDQ6164684

No author found.

Publication date: 28 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.2024235

zbMATH Keywords

Stirling numbers of the second kindmathematical inductionhypergeometric distributionexpectation identityhigh-order origin moments

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Statistical distribution theory (62Exx) Statistical tables (62Qxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential bounds for the hypergeometric distribution
• Efficient time/space algorithm to compute rectangular probabilities of multinomial, multivariate hypergeometric and multivariate Pólya distributions
• The generalized hypergeometric family of distributions
• Improving upon standard estimators in discrete exponential families with applications to Poisson and negative binomial cases
• The tail of the hypergeometric distribution
• Sequential tests for hypergeometric distributions and finite populations
• \(A\)-hypergeometric distributions and Newton polytopes
• Partition structure and the \(A\)-hypergeometric distribution associated with the rational normal curve
• Extended generalized hypergeometric probability distributions.
• An approximation to the generalized hypergeometric distribution
• Empirical Bayes estimates of domain scores under binomial and hypergeometric distributions for test scores
• Generalized hypergeometric distribution and its applications on univalent functions
• Normal approximation to the hypergeometric distribution in nonstandard cases and a sub-Gaussian Berry-Esseen theorem
• Some properties of bivariate generalized hypergeometric probability distributions
• Concentration of the hypergeometric distribution
• The Accuracy of Peizer Approximations to the Hypergeometric Distribution, with Comparisons to Some Other Approximations
• Algorithm 668
• An Entropy Inequality for The Bi-Multivariate Hypergeometric Distribution
• Representations, bounds and approximations for tail probabilites of multivariate non-central hypergeometric and negative hypergeometric distributions
• An accurate computation of the hypergeometric distribution function
• Expectation identity for the binomial distribution and its application in the calculations of high-order binomial moments
• Prediction intervals for hypergeometric distributions
• Properties of the Extended Hypergeometric Distribution
• Sampling Methods for Wallenius' and Fisher's Noncentral Hypergeometric Distributions
• An Error Analysis for Polynomial Optimization over the Simplex Based on the Multivariate Hypergeometric Distribution
• Approximations to distribution functions which are hypergeometric series
• A Characterization of Hypergeometric Distributions
• Some approximations to the multivariate hypergeometric distribution with applications to hypothesis testing.

This page was built for publication: Expectation identity of the hypergeometric distribution and its application in the calculations of high-order origin moments