Reliability properties of proportional hazards relevation transform

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...

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Veröffentlicht in:	Metrika 2019-05, Vol.82 (4), p.441-456
Hauptverfasser:	Sankaran, P. G., Dileep Kumar, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Economic Theory/Quantitative Economics/Mathematical Methods Hazards Mathematics and Statistics Probability Theory and Stochastic Processes Reliability Statistics
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Zusammenfassung:	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.
ISSN:	0026-1335 1435-926X
DOI:	10.1007/s00184-018-0681-0