Asymptotic behaviour of reliability functions



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Main Yaque, Paloma (1988) Asymptotic behaviour of reliability functions. Statistics & Probability Letters, 7 (3). pp. 259-263. ISSN 0167-7152

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We relate the classes of life distributions based on notions of aging with those that depend on the tail behaviour. This last classification introduces the concepts of outlier-neutral, outlier-prone and outlier- resistant distributions. We prove some results that connect IFR, IFRA, NBU and NBUE definitions with the outlier-resistance concept. Similarly the relationship of DFR, DFRA, NWU and NWUE to outlier-proneness is obtained.

Item Type:Article
Uncontrolled Keywords:extreme-value theory; reliability analysis; regular variation; life distributions; aging; tail behaviour; outlier-neutral; outlier-prone; outlier-resistant distributions; IFR; IFRA; NBU; NBUE; DFR; DFRA; NWU; NWUE
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:16485
Deposited On:21 Sep 2012 08:06
Last Modified:21 Sep 2012 08:06

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