Preservation of Some Aging Properties and Stochastic Orders by Weighted Distributions

DOI10.1080/03610920701499506zbMath1136.62065OpenAlexW2117493091MaRDI QIDQ5457986

Neeraj Misra, I. D. Dhariyal, Nitin Gupta

Publication date: 10 April 2008

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920701499506

zbMATH Keywords

weight functionfailure rateIFRDFRlog-concaveDMRLIMRLlog-convexDRFRIRFRmrl function

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05)

Related Items (19)

Preservation of failure rate function shape in weighted distributions ⋮ A mixture model of size-biased distributions ⋮ ON THE RESIDUAL AND PAST LIFETIMES OF COHERENT SYSTEMS UNDER RANDOM MONITORING ⋮ RESIDUAL STOCHASTIC PRECEDENCE ORDER ⋮ Properties of increasing odds rate distributions with a statistical application ⋮ Relationship between the weighted distributions and some inequality measures ⋮ Inactivity stochastic precedence order ⋮ Aspects of the mean residual life order for weighted distributions ⋮ Preservation of transform orders under a semiparametric model and its mixture ⋮ SOME SUFFICIENT CONDITIONS FOR RELATIVE AGING OF LIFE DISTRIBUTIONS ⋮ Reliability analysis of the proportional mean residual life order ⋮ Residual probability function, associated orderings, and related aging classes ⋮ Combination of mean residual life order with reliability applications ⋮ On preservation under univariate weighted distributions. ⋮ On Properties of Reversed Mean Residual Life Order for Weighted Distributions ⋮ On a representation of weighted distributions ⋮ Preservation of dependence concepts under bivariate weighted distributions ⋮ A General Approach for Preservation of Some Aging Classes Under Weighting ⋮ Unnamed Item

Cites Work

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• Some weighted distribution results on univariate and bivariate cases
• Preservation of classes of life distributions and stochastic orders under weighting
• The role of weighted distributions in stochastic modeling
• Relations for reliability measures of weighted distributions
• Extension of the bivariate characterization for stochastic orders

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