An alternative inference tool to total probability formula and its applications

Details An alternative inference tool to total probability formula and its applications An alternative inference tool to total probability formula and its applications

2003-10-09

arxiv.org/abs/math-ph/0310014v1

Physics

Mathematical Physics

Presented at the 23th Int. worskhop on Bayesian and Maximum Entropy methods (MaxEnt23), Aug. 3-7, 2003, Jackson Hole, USA

Scientific paper

10.1063/1.1835217

Total probability and Bayes formula are two basic tools for using prior information in the Bayesian statistics. In this paper we introduce an alternative tool for using prior information. This new toold enables us to improve some traditional results in statistical inference. However, as far as the authors know, there is no work on this subject, except [1]. The results of this paper can be extended to other branches of probability and statistics. In Section 2 total probability formula based on median is defined and its basic properties are proved. A few applications of this new tool are given in Section 3.

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