Residual probability function, associated orderings, and related aging classes
type: Item
instance of: scholarly article
title: Residual probability function, associated orderings, and related aging classes
zbMATH Open document ID: 1407.60028
DOI: 10.1155/2014/490692
author: S. Alshami
author: Mohamed Kayid
author: S. Izadkhah
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The concept of residual probability plays an important role in reliability and life testing. In this investigation, we study further the residual probability order and its related aging classes. Several characterizations and preservation properties of this order under some statistical and reliability operations of monotone transformation, mixture, weighted distributions, and order statistics are discussed. In addition, by comparing the original distribution with its associated equilibrium distribution with respect to the residual probability order, new aging classes of life distributions are proposed and studied. Finally, a test of exponentiality against such classes is derived and sets of real data are used as examples to elucidate the use of the proposed test for practical problems.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 7016567
Wikidata QID: Q59067781
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/490692
OpenAlex ID: W2055054731
cites work: A time-varying complex dynamical network model and its controlled synchronization criteria
cites work: Consensus of discrete-time second-order multiagent systems based on infinite products of general stochastic matrices
cites work: Adaptive Synchronization of an Uncertain Complex Dynamical Network
cites work: Q5470686
cites work: Preservation results for life distributions based on comparisons with asymptotic remaining life under replacements
cites work: Some comparison results of system availability
cites work: A note on some new renewal ageing notions
cites work: Moment inequalities derived from comparing life with its equilibrium form
cites work: Ageing Properties and Series System
cites work: Reversed hazard rate order of equilibrium distributions and a related aging notion
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cites work: Dual stochastic orderings describing ageing properties of devices of unknown age
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description: scientific article; zbMATH DE number 7016567