简单半序约束下多个正态总体分布参数的Bayes估计与等值检验

J4 ›› 2013, Vol. 51 ›› Issue (01): 1-8.

Bayesian Parameter Estimation and Testing of |Parametersfrom Normal Populations under Semiorder Restrictions

SHI Haifang^1,2, JI Yonggang²

1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. |College of Sciences, Civil Aviation University of China, Tianjin 300300, China

Received:2012-06-15 Online:2013-01-26 Published:2013-01-31
Contact: SHI Haifang E-mail:shihf07@mails.jlu.edu.cn

Abstract

Abstract:

The authors developed a procedure for estimator of ratios of means to standard deviations from normal populations under semiorder restriction using Bayes method, and considered the testing for the equality of proportions: H₀: μ₁=…=μ_kv.s. H₁: μ₁≤…≤μ_k, μ₁<μ_k. Finally, simulation results were given by Gibbs sampling and MetropolisHastings method.

Key words: semiorder restriction, normal distribution, Bayes estimation, Gibbs sampling, MetropolisHastings method

CLC Number:

O212.1

SHI Hai-Fang, JI Yong-Gang. Bayesian Parameter Estimation and Testing of |Parametersfrom Normal Populations under Semiorder Restrictions[J].J4, 2013, 51(01): 1-8.

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Bayesian Parameter Estimation and Testing of |Parametersfrom Normal Populations under Semiorder Restrictions

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