Some Characterizations of Exponential Distribution Based on Order Statistics
Bojana Milo\v{s}evi\'c, Marko Obradovi\'c
TL;DR
This paper presents new theorems characterizing the exponential distribution using order statistics, generalizes existing results, and resolves an open conjecture by Arnold and Villasenor.
Contribution
It introduces novel characterizations of exponential distribution based on order statistics and solves an open conjecture in the field.
Findings
New characterizing theorems for exponential distribution
Generalizations of existing results
Resolution of Arnold and Villasenor's open conjecture
Abstract
In this paper some new characterizing theorems of exponential distribution based on order statistics are presented. Some existing results are generalized and the open conjecture by Arnold and Villasenor is solved.
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