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Reliability properties of proportional hazards relevation transform

Author

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  • P. G. Sankaran

    (Cochin University of Science and Technology)

  • M. Dileep Kumar

    (Cochin University of Science and Technology)

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.

Suggested Citation

  • P. G. Sankaran & M. Dileep Kumar, 2019. "Reliability properties of proportional hazards relevation transform," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(4), pages 441-456, May.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:4:d:10.1007_s00184-018-0681-0
    DOI: 10.1007/s00184-018-0681-0
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    References listed on IDEAS

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