Sharp bounds on DMRL and IMRL classes of life distributions with specified mean

Authors

Debasis Sengupta, Indian Statistical Institute, Kolkata
Sudipta Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Statistics and Probability Letters

Abstract

We obtain sharp upper and lower bounds for a reliability function with decreasing mean residual life (DMRL), in terms of its mean. The constructive proofs establish that the bounds are sharp. We also provide bounds for the IMRL class.

First Page

101

Last Page

107

DOI

10.1016/j.spl.2016.07.013

Publication Date

12-1-2016

Recommended Citation

Sengupta, Debasis and Das, Sudipta, "Sharp bounds on DMRL and IMRL classes of life distributions with specified mean" (2016). Journal Articles. 4440.
https://digitalcommons.isical.ac.in/journal-articles/4440