On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts

Authors

M. Ahsanullah
Imtiyaz A. Shah
George Yanev, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2013

Abstract

Distributional relations of the form Y d= X +T where X, Y, and T are record values or order statistics and the random translator T is independent from X are considered. Characterizations of the exponential distribution when the ordered random variables are non-neighboring are proved. Corollaries for Pareto and power function distributions are also derived.

Comments

Original published version available at https://doi.org/10.12785/jsap/020304

Recommended Citation

Ahsanullah, M., Imtiyaz A. Shah, and George P. Yanev. 2013. “On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts.” Journal of Statistics Applications & Probability 2 (3): 223–27. https://doi.org/10.12785/jsap/020304.

Publication Title

Journal of Statistics Applications & Probability

DOI

10.12785/jsap/revised*JSAP022513S