Representing the mean residual life in terms of the failure rate

12Citations
Citations of this article
17Readers
Mendeley users who have this article in their library.

Abstract

In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Whereas the failure rate can be expressed quite simply in terms of the mean residual life and its derivative, the inverse problem - namely that of expressing the mean residual life in terms of the failure rate - typically involves an integral of a complicated expression. In this paper, we obtain simple expressions for the mean residual life in terms of the failure rate for certain classes of distributions which subsume many of the standard cases. Several results in the literature can be obtained using our approach. Additionally, we develop an expansion for the mean residual life in terms of Gaussian probability functions for a broad class of ultimately increasing failure rate distributions. Some examples are provided to illustrate the procedure. © 2003 Elsevier Science Ltd. All rights reserved.

Cite

CITATION STYLE

APA

Gupta, R. C., & Bradley, D. M. (2003). Representing the mean residual life in terms of the failure rate. Mathematical and Computer Modelling, 37(12–13), 1271–1280. https://doi.org/10.1016/S0895-7177(03)90038-0

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free