Two characterizations of the exponential distribution based on equalities among order statistics in a random sample of size three are proved. This proves two conjectures stated recently in Arnold and Villasenor .
Yanev, George P., and Santanu Chakraborty. 2013. “Characterizations of Exponential Distribution Based On Sample of Size Three.” Pliska Studia Mathematica Bulgarica 23 (January): 237–44.
Pliska Studia Mathematica Bulgarica