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September, 1993 On a Characterization of the Exponential Distribution Based on a Type 2 Right Censored Sample
Julian Leslie, Constance van Eeden
Ann. Statist. 21(3): 1640-1647 (September, 1993). DOI: 10.1214/aos/1176349276

Abstract

Dufour gives a conjecture concerning a characterization of the exponential distribution based on type 2 right censored samples. This conjecture, if true, generalizes the characterization based on complete samples of Seshadri, Csorgo and Stephens (1969) and Dufour, Maag and van Eeden (1984). In this paper it is shown that Dufour's conjecture is true if the number of censored observations is no larger than $(1/3)n - 1$, where $n$ is the sample size. The result has implications for testing fit of censored data to the exponential distribution.

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Julian Leslie. Constance van Eeden. "On a Characterization of the Exponential Distribution Based on a Type 2 Right Censored Sample." Ann. Statist. 21 (3) 1640 - 1647, September, 1993. https://doi.org/10.1214/aos/1176349276

Information

Published: September, 1993
First available in Project Euclid: 12 April 2007

zbMATH: 0791.62014
MathSciNet: MR1241283
Digital Object Identifier: 10.1214/aos/1176349276

Subjects:
Primary: 62E10
Secondary: 62E15

Rights: Copyright © 1993 Institute of Mathematical Statistics

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Vol.21 • No. 3 • September, 1993
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