On compatibility/incompatibility of two discrete probability distributions in the presence of incomplete specification
Statistics Theory
2019-09-19 v1 Methodology
Statistics Theory
Abstract
Conditional specification of distributions is a developing area with many applications. In the finite discrete case, a variety of compatible conditions can be derived. In this paper, we propose an alternative approach to study the compatibility of two conditional probability distributions under the finite discrete set up. A technique based on rank-based criterion is shown to be particularly convenient for identifying compatible distributions corresponding to complete conditional specification, including the case with zeros. The proposed methods are finally illustrated with several examples.
Keywords
Cite
@article{arxiv.1909.08447,
title = {On compatibility/incompatibility of two discrete probability distributions in the presence of incomplete specification},
author = {Indranil Ghosh and N. Balakrishnan},
journal= {arXiv preprint arXiv:1909.08447},
year = {2019}
}
Comments
19 pages article. arXiv admin note: substantial text overlap with arXiv:1711.00608