An alternative inference tool to total probability formula and its applications
Mathematical Physics
2009-11-10 v1 math.MP
Probability
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0310014,
title = {An alternative inference tool to total probability formula and its applications},
author = {Adel Mohammadpour and Ali Mohammad-Djafari},
journal= {arXiv preprint arXiv:math-ph/0310014},
year = {2009}
}
Comments
Presented at the 23th Int. worskhop on Bayesian and Maximum Entropy methods (MaxEnt23), Aug. 3-7, 2003, Jackson Hole, USA