On the Certainty of an Inductive Inference: The Binomial Case

被引：0

作者：

Tuyl, Frank ^{[1
]}

Gerlach, Richard ^{[2
]}

Mengersen, Kerrie ^{[3
]}

机构：

[1] Univ Newcastle, Sch Informat & Phys Sci, Newcastle, Australia

[2] Univ Sydney, Business Sch, Sydney, Australia

[3] Queensland Univ Technol, Sch Math Sci, Brisbane, Australia

来源：

STATISTICAL SCIENCE | 2024年 / 39卷 / 02期

关键词：

Bayesian inference; Laplace's rule of succession; point mass;

D O I：

10.1214/23-STS913

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In the context of the binomial distribution, the potential need for a prior point mass on theta = 0 (1), given x = 0 (n), was identified more than 100 years ago by Jeffreys. Given previous proposals to implement such a point mass, a slightly different approach is proposed, followed by the corresponding posterior probability of "homogeneity" and posterior predictive distribution.

引用

页码：355 / 356

页数：2

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