Testing Exponentiality Against IDMRL Distributions with Unknown Change Point
Hawkins, D. L. ; Kochar, Subhash ; Loader, Clive
Ann. Statist., Tome 20 (1992) no. 1, p. 280-290 / Harvested from Project Euclid
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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.
Publié le : 1992-03-14
Classification:  Statistical differential,  Gaussian process,  reliability theory,  mean residual life,  62G10 
@article{1176348522,
     author = {Hawkins, D. L. and Kochar, Subhash and Loader, Clive},
     title = {Testing Exponentiality Against IDMRL Distributions with Unknown Change Point},
     journal = {Ann. Statist.},
     volume = {20},
     number = {1},
     year = {1992},
     pages = { 280-290},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176348522}
}

Hawkins, D. L.; Kochar, Subhash; Loader, Clive. Testing Exponentiality Against IDMRL Distributions with Unknown Change Point. Ann. Statist., Tome 20 (1992) no. 1, pp.  280-290. http://gdmltest.u-ga.fr/item/1176348522/