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Franco Pereira, Alba M. and Lillo, Rosa E. and Shaked, Moshe (2012) The decreasing percentile residual life ageing notion. Statistics, 46 (5). pp. 587603. ISSN 02331888

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/02331888.2010.543467#.Uujs4xC0rcs
URL  URL Type 

http://earchivo.uc3m.es/handle/10016/7932  Organisation 
Abstract
Earlier researchers have studied some aspects of the classes of distribution functions with decreasing alphapercentile residual life (DPRL(alpha)), 0 < alpha < 1. The purpose of this paper is to note some further properties of these classes, and to initiate a theory of nonparametric statistical estimation of DPRL(alpha) functions. Specifically, the close relationship between the DPRL(alpha) and the increasing failure rate ageing notions is studied. Other close relationships, between the DPRL(alpha) ageing notions and the percentile residual life stochastic orders, are described, and further properties of the above classes of distributions are derived. Finally, we introduce an estimator of the percentile residual life function, under the condition that it decreases, and we prove its strongly uniform consistency.
Item Type:  Article 

Uncontrolled Keywords:  Reliability theory; hazard rate; stochastic orders; ageing notions; nonparametric estimation; strongly uniform consistency 
Subjects:  Sciences > Mathematics > Mathematical statistics 
ID Code:  24409 
Deposited On:  29 Jan 2014 12:02 
Last Modified:  07 Feb 2014 11:17 
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