Asymptotic behaviour of reliability functions
type: Item
instance of: scholarly article
title: Asymptotic behaviour of reliability functions
zbMATH Open document ID: 0662.62101
DOI: 10.1016/0167-7152(88)90060-0
published in: Statistics \& Probability Letters
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4082796
zbMATH Keywords: extreme-value theory
zbMATH Keywords: reliability analysis
zbMATH Keywords: regular variation
zbMATH Keywords: life distributions
zbMATH Keywords: aging
zbMATH Keywords: tail behaviour
zbMATH Keywords: outlier-neutral
zbMATH Keywords: outlier-prone
zbMATH Keywords: outlier-resistant distributions
zbMATH Keywords: IFR
zbMATH Keywords: IFRA
zbMATH Keywords: NBU
zbMATH Keywords: NBUE
zbMATH Keywords: DFR
zbMATH Keywords: DFRA
zbMATH Keywords: NWU
zbMATH Keywords: NWUE
author: P. Main
MaRDI profile type: Publication
full work available at URL: 0167-7152(88)90060-0
OpenAlex ID: W2046086936
cites work: Q4158362
cites work: Q5512461
cites work: Sur la distribution limite du terme maximum d'une série aléatoire
cites work: Outlier-Prone and Outlier-Resistant Distributions
cites work: Q5633348
cites work: A form of regular variation and its application to the domain of attraction of the double exponential distribution
cites work: Classification of Probability Laws by Tail Behavior
cites work: Regularly varying functions in the theory of simple branching processes
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description: scientific article; zbMATH DE number 4082796