Reliability properties and applications of proportional reversed hazards in reversed relevation transform

M.  Dileepkumar; R.  Anand; P. G Sankaran

doi:https://doi.org/10.59139/stattrans-2025-010

Reliability properties and applications of proportional reversed hazards in reversed relevation transform

M. Dileepkumar Department of Statistics, University of Calicut, Kerala, India ORCID:https://orcid.org/0000-0003-4124-5306 , R. Anand Department of Statistics, University of Calicut, Kerala, India ORCID:https://orcid.org/0000-0001-7008-9483 , P. G Sankaran Department of Statistics, Cochin University of Science and Technology, Kerala, India ORCID:https://orcid.org/0009-0003-0163-8858 Statistics in Transition new series, vol. 26, 2025, 1, pages: 183-203 Published online: 10 March 2025 https://doi.org/10.59139/stattrans-2025-010 Citation: Dileepkumar M., Anand R., Sankaran P. G., 2025. Reliability properties and applications of proportional reversed hazards in reversed relevation transform. Statistics in Transition new series, 26(1), pp. 183-203. https://doi.org/10.59139/stattrans-2025-010

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ABSTRACT

The concept of reversed relevation transform was introduced by Di Crescenzo and Toomaj (2015). In this article, we study important reliability properties of the reversed relevation transform under the proportional reversed hazards assumption. The results of research on information measures are presented. Various ageing concepts and stochastic orders are discussed. A new flexible generalisation of the Fréchet distribution is introduced using the proposed transformation, and reliability properties and applications are discussed.

KEYWORDS

reversed relevation transform, proportional reversed hazards model, information measures, ageing properties, stochastic orders, quantile function.

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