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Mean residual life order among largest order statistics arising from resilience-scale models with reduced scale parameters

Published online by Cambridge University Press:  22 November 2022

Abedin Haidari ,
Mostafa Sattari  and
Ghobad Barmalzan Open the ORCID record for Ghobad Barmalzan [Opens in a new window]
Abedin Haidari
Affiliation:
Department of Mathematics Faculty of Basic Science, Ilam University, Ilam, Iran
Mostafa Sattari
Affiliation:
Department of Mathematics, University of Zabol, Sistan and Baluchestan, Iran
Ghobad Barmalzan
Affiliation:
Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran. E-mail: [email protected]
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Abstract

In this paper, we identify some conditions to compare the largest order statistics from resilience-scale models with reduced scale parameters in the sense of mean residual life order. As an example of the established result, the exponentiated generalized gamma distribution is examined. Also, for the special case of the scale model, power-generalized Weibull and half-normal distributions are investigated.

Keywords

Exponentiated generalized gamma distributionHalf-normal distributionMean residual life orderPower-generalized Weibull distributionReciprocal majorization orderResilience-scale model
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 37 , Issue 1 , January 2023 , pp. 72 - 85
Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press

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