Characterization of exponential distribution through equidistribution conditions for consecutive maxima
Santanu Chakraborty, George P. Yanev
TL;DR
This paper characterizes the exponential distribution by establishing equidistribution conditions for the maxima of random samples of consecutive sizes, solving a previously open problem in the field.
Contribution
It provides a new characterization of the exponential distribution based on maxima of samples with consecutive sizes, addressing an open problem from recent literature.
Findings
Proves a characterization of exponential distribution using equidistribution conditions.
Solves an open problem posed by Arnold and Villasenor (2013).
Establishes conditions for maxima of samples of sizes n-1 and n.
Abstract
A characterization of the exponential distribution based on equidistribution conditions for maxima of random samples with consecutive sizes n-1 and n for an arbitrary and fixed n>2 is proved. This solves an open problem stated recently in Arnold and Villasenor (2013).
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