Let $\lambda$ denote the failure rate function of the $d,f$. $F$ and let $\lambda_1$ denote the failure rate function of the mean residual life distribution. In this paper we characterize the distribution functions $F$ for which $\lambda_1=c\lambda$ and we estimate $F$ when it is only known that $\lambda_1 /\lambda$ or $\lambda_1 - c\lambda$ is bounded.
@article{104430,
author = {Maia Koicheva and Edward Omey},
title = {Stability of characterizations of distribution functions using failure rate functions},
journal = {Applications of Mathematics},
volume = {35},
year = {1990},
pages = {481-486},
zbl = {0727.62023},
mrnumber = {1089928},
language = {en},
url = {http://dml.mathdoc.fr/item/104430}
}
Koicheva, Maia; Omey, Edward. Stability of characterizations of distribution functions using failure rate functions. Applications of Mathematics, Tome 35 (1990) pp. 481-486. http://gdmltest.u-ga.fr/item/104430/
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