On Arnold–Villasenor Conjectures for ˜ Characterizing Exponential Distribution Based on Sample of Size Three

Authors

  • George P. Yanev The University of Texas Rio Grande Valley

DOI:

https://doi.org/10.57805/revstat.v18i2.295

Keywords:

exponential distribution, characterizations, order statistics

Abstract

Arnold and Villase˜nor [4] 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 in [7]. Extending the techniques from [4], we prove some of Arnold and Villase˜nor’s conjectures for samples of size three. An example with simulated data is discussed.

Published

2020-05-29

How to Cite

P. Yanev , G. (2020). On Arnold–Villasenor Conjectures for ˜ Characterizing Exponential Distribution Based on Sample of Size Three. REVSTAT-Statistical Journal, 18(2), 177–188. https://doi.org/10.57805/revstat.v18i2.295