Comparison of Three Calculation Methods for a Bayesian Inference of P(π1 > π2)

Yohei Kawasaki; Asanao Shimokawa; Etsuo Miyaoka

doi:10.22237/jmasm/1383279240

Comparison of Three Calculation Methods for a Bayesian Inference of P(π1 > π2)

Yohei Kawasaki, Asanao Shimokawa, Etsuo Miyaoka

数学科

研究成果: Article › 査読

3 被引用数 (Scopus)

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In Bayesian inference, some researchers have examined the difference of binominal proportions using θ = P(π1 > π2-δ₀|X1, X2 ), where X_i denote binomial random variable with parameter π_i . An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.

本文言語	English
ページ（範囲）	256-268
ページ数	13
ジャーナル	Journal of Modern Applied Statistical Methods
巻	12
号	2
DOI	https://doi.org/10.22237/jmasm/1383279240
出版ステータス	Published - 2013

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abstract = "In Bayesian inference, some researchers have examined the difference of binominal proportions using θ = P(π1 > π2-δ0|X1, X2 ), where Xi denote binomial random variable with parameter πi . An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.",

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AU - Shimokawa, Asanao

AU - Miyaoka, Etsuo

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N2 - In Bayesian inference, some researchers have examined the difference of binominal proportions using θ = P(π1 > π2-δ0|X1, X2 ), where Xi denote binomial random variable with parameter πi . An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.

AB - In Bayesian inference, some researchers have examined the difference of binominal proportions using θ = P(π1 > π2-δ0|X1, X2 ), where Xi denote binomial random variable with parameter πi . An approximate method and the MCMC method are compared with an exact method for θ , and results of actual clinical trials using θ are presented.

KW - Bayesian inference

KW - Binominal proportions

KW - Hypergeometric series

KW - MCMC method

UR - https://www.scopus.com/pages/publications/84897911562

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DO - 10.22237/jmasm/1383279240

M3 - Article

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JO - Journal of Modern Applied Statistical Methods

JF - Journal of Modern Applied Statistical Methods

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ER -

Comparison of Three Calculation Methods for a Bayesian Inference of P(π1 > π2)

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