Bayesian Testing of a Point Null Hypothesis Based on the Latent Information Prior

被引：0

作者：

Komaki, Fumiyasu ^{[1
,2
]}

机构：

[1] Univ Tokyo, Dept Math Informat, Grad Sch Informat Sci & Technol, Tokyo 1138656, Japan

[2] RIKEN, Brain Sci Inst, Wako, Saitama 3510198, Japan

来源：

ENTROPY | 2013年 / 15卷 / 10期

基金：

日本学术振兴会;

关键词：

conditional mutual information; discrete prior; Kullback-Leibler divergence; prediction; reference prior; Jeffreys-Lindley paradox; DISTRIBUTIONS; PREDICTION; INFERENCE; CAPACITY; ENTROPY;

D O I：

10.3390/e15104416

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bayesian testing of a point null hypothesis is considered. The null hypothesis is that an observation, x, is distributed according to the normal distribution with a mean of zero and known variance sigma(2). The alternative hypothesis is that x is distributed according to a normal distribution with an unknown nonzero mean, mu, and variance sigma(2). The testing problem is formulated as a prediction problem. Bayesian testing based on priors constructed by using conditional mutual information is investigated.

引用

页码：4416 / 4431

页数：16

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