Distribution of the linear combination of two general beta variables and applications

DOI10.1080/03610929808832194zbMath0926.62008OpenAlexW2135439439MaRDI QIDQ4214022

Thu Pham Gia, Noyan Turkkan

Publication date: 28 November 1999

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

Full work available at URL: https://doi.org/10.1080/03610929808832194

zbMATH Keywords

Dirichlet distributionAppell functionsconfluent hypergeometric functionsbeta distributiongeneralized betasum of beta variables

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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Cites Work

• The generalized beta- and F-distributions in statistical modelling
• On the Noncentral Beta-Distribution
• A Generalization of the Beta-Distribution
• An information-theoretic approach to incorporating prior information in binomial sampling
• Bayes binomial sampling by attributes with a general-beta prior distribution
• Bayesian analysis of the difference of two proportions
• Noncentral and central chi-square, f and beta distribution functions as special cases of the distribution function of an indefinite quadratic form
• Computing the Non-Central Beta Distribution Function
• Model selection: some generalized distributions
• On approximations involving the beta distribution
• Another derivation of two algorithms for the noncentral x²and f distributions
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