Open Access
March, 1992 Testing Exponentiality Against IDMRL Distributions with Unknown Change Point
D. L. Hawkins, Subhash Kochar, Clive Loader
Ann. Statist. 20(1): 280-290 (March, 1992). DOI: 10.1214/aos/1176348522


Guess, Hollander and Proschan proposed tests for exponentiality versus IDMRL (increasing initially and then decreasing mean residual life) distributions when the change point, or corresponding quantile, is known. In this paper we propose two tests which do not require such knowledge of the change point. The tests are based on estimates of functionals of the $\operatorname{cdf}$ which discriminate between the exponential and IDMRL families.


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D. L. Hawkins. Subhash Kochar. Clive Loader. "Testing Exponentiality Against IDMRL Distributions with Unknown Change Point." Ann. Statist. 20 (1) 280 - 290, March, 1992.


Published: March, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0745.62042
MathSciNet: MR1150344
Digital Object Identifier: 10.1214/aos/1176348522

Primary: 62G10

Keywords: Gaussian process , mean residual life , reliability theory , Statistical differential

Rights: Copyright © 1992 Institute of Mathematical Statistics

Vol.20 • No. 1 • March, 1992
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