Further Results on the Bivariate Semi-parametric Singular Family of Distributions
Statistics Theory
2022-12-29 v1 Statistics Theory
Abstract
General classes of bivariate distributions are well studied in literature. Most of these classes are proposed via a copula formulation or extensions of some characterisation properties in the univariate case. In Kundu(2022) we see one such semi-parametric family useful to model bivariate data with ties. This model is a general semi-parametric model with a baseline. In this paper we present a characterisation property of this class of distributions in terms of a functional equation. The general solution to this equation is explored. Necessary and sufficient conditions under which the solution becomes a bivariate distribution is investigated.
Keywords
Cite
@article{arxiv.2212.13385,
title = {Further Results on the Bivariate Semi-parametric Singular Family of Distributions},
author = {Durga Vasudevan and G. Asha},
journal= {arXiv preprint arXiv:2212.13385},
year = {2022}
}