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Stability of characterizations of distribution functions using failure rate functions
Applications of Mathematics, Tome 35 (1990) no. 6, pp. 481-486
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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.
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.
DOI : 10.21136/AM.1990.104430
Classification : 60E05, 62E10, 62N05
Keywords: stability of characterizations; reliability theory; failure rate function; mean residual life distribution 
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Koicheva, Maia; Omey, Edward. Stability of characterizations of distribution functions using failure rate functions. Applications of Mathematics, Tome 35 (1990) no. 6, pp. 481-486. doi: 10.21136/AM.1990.104430

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