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

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Dileepkumar M., Anand R., Sankaran P. G.
Statistics in Transition new series
|
2025
|
vol. 26
|
issue 1
183-203
EN
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.
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Extended odd Frechet-exponential distribution with applications related to the environment

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Jallal M., Ahmed A., Tripathi R.
Statistics in Transition new series
|
2024
|
vol. 25
|
issue 2
121-136
EN
In this paper, we attempted to expand the Frechet distribution by employing the T-X family of distributions and named the newly formulated model Extended odd Frechet-exponential distribution (EOFED). Several structural properties, reliability measurements and characteristics were estimated and discussed. The study presents graphs which depict the behaviour of the probability density function, cumulative distribution function and the hazard rate function. The adaptability and flexibility of this novel distribution were achieved through the application of real-world data sets. A simulation study was performed to evaluate and compare the output efficacy of the estimators.
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