Connecting Dempster-Shafer belief functions with likelihood-based inference

被引：16

作者：

Aickin, M ^{[1
]}

机构：

[1] Ctr Hlth Res, Portland, OR 97227 USA

来源：

SYNTHESE | 2000年 / 123卷 / 03期

关键词：

Statistical Model; Belief Function; Likelihood Principle; Likelihood Inference; Shafer Theory;

D O I：

10.1023/A:1005287422506

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

The Dempster-Shafer approach to expressing belief about a parameter in a statistical model is not consistent with the likelihood principle. This inconsistency has been recognized for some time, and manifests itself as a non-commutativity, in which the order of operations (combining belief, combining likelihood) makes a difference. It is proposed here that requiring the expression of belief to be committed to the model (and to certain of its submodels) makes likelihood inference very nearly a special case of the Dempster-Shafer theory.

引用

页码：347 / 364

页数：18