On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three
Probability
2020-06-02 v1
Abstract
Arnold and Villasenor (2013) obtain a series of characterizations of the exponential distribution based on random samples of size two. These results were already applied in constructing goodness-of-fit tests. Extending the techniques from Arnold and Villasenor (2013), we prove some of the conjectures for samples of size three. An example with simulated data is discussed.
Keywords
Cite
@article{arxiv.2006.00321,
title = {On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three},
author = {George Yanev},
journal= {arXiv preprint arXiv:2006.00321},
year = {2020}
}