Reliability properties of proportional hazards relevation transform

P. G. Sankaran and M. Dileep Kumar ()
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P. G. Sankaran: Cochin University of Science and Technology
M. Dileep Kumar: Cochin University of Science and Technology

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 4, No 3, 456 pages

Abstract: Abstract Relevation transform introduced by Krakowski (Rev Fr d’Autom Inf Rech opér Rech opér 7(V2):107–120, 1973) is extensively studied in the literature. In this paper, we study the reliability properties of a special case of relevation transform namely proportional hazards relevation transform. Various stochastic orders and ageing concepts are discussed. A new lifetime distribution called proportional hazards relevated Weibull is introduced and discussed its applications with two real datasets.

Keywords: Relevation transform; Hazard rate; Mean residual life; Proportional hazards model; Ageing properties; Stochastic orders (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s00184-018-0681-0

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