关键词: 半序约束； 正态分布； Bayes估计； Gibbs抽样； MetropolisHastings方法

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