Article ID Journal Published Year Pages File Type
1151909 Statistics & Probability Letters 2013 7 Pages PDF
Abstract

A lifetime XX with survival function SS, mean residual life function (MRL) MM, and finite mean μμ is said to be new better than used in expectation (NBUE) if M(t)≤μM(t)≤μ for all t≥0t≥0. We propose a new estimator for SS, based on a natural estimator of MM defined under the NBUE restriction. This is much simpler to implement than the only other restricted estimator in the literature. We also derive some asymptotic properties of the MRL of XX and extend our results to the censored case.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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