Facultade de Fisioterapia

Decreasing Percentile Residual Life: Properties and Estimation

Franco Pereira, Alba; de Uña-Álvarez, Jacobo; Lillo, Rosa E.; Shaked, Moshe
Abstract:
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.
Year:
2013
Type of Publication:
Book Chapter
Editor:
Li, Haijun, Li, Xiaohu
Volume:
208
Chapter:
9
Pages:
183-197
Book:
Stochastic Orders in Reliability and Risk. In Honor of Professor Moshe Shaked
Month:
May
ISBN:
978-1-4614-6891-2
DOI:
10.1007/978-1-4614-6892-9
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