Another Generalization of Unimodality
Statistics Theory
2015-11-24 v1 Statistics Theory
Abstract
A general characterization for \alpha-unimodal distributions was provided by Alamatsaz (1985) who later introduced a multivariate extension of them (Alamatsaz 1993). Here, by solving the related equations, another generalization for unimodality is presented. As a result of this generalization, a simpler proof of a conjecture, as well as a characterization for generalized arcsin distributions and some generalizations of the author's earlier works, have been obtained. Last, but not the least, it is shown that some elementary methods can be more powerful than some more advanced techniques.
Keywords
Cite
@article{arxiv.1511.07036,
title = {Another Generalization of Unimodality},
author = {Hazhir Homei},
journal= {arXiv preprint arXiv:1511.07036},
year = {2015}
}
Comments
To Appear in the Communications in Statistics - Theory and Methods