In this work we describe the class of distribution functions with decreasing α-percentile residual life [DPRL(α)], 0 < α < 1. The close relationship between the aging notion DPRL(α) and increasing failure rate (IFR) will be discussed, as well as the relationship between the DPRL(α) and the percentile residual life orders. Besides, we introduce an estimator of the percentile residual life function, under the condition that it decreases, in the censored and the non-censored case. Finally, a real data illustration is provided.
Type of Publication:
Li, Haijun, Li, Xiaohu
Stochastic Orders in Reliability and Risk. In Honor of Professor Moshe Shaked