Ordering Results on Comparisons of Lifetimes of Parallel Systems through the Majorization of Unit Gamma Gompertz-F Parameters

Document Type : Original Article

Authors
Marzieh Shekari 1
Zohreh Pakdaman 2
Hosein Zamani 2
1 Department of Statistics, University of Hormozgan, P. O. Box 3995, Hormozgan 7916193145, Iran.
2 Department of Statistics, University of Hormozgan, P. O. Box 3995, Hormozgan 7916193145, Iran
10.22034/jirss.2024.2015203.1043
Abstract
This study compares two parallel systems whose components are taken from the unit gamma Gompertz-F family. The comparisons are accomplished according to various stochastic orders, including the usual stochastic order, the reversed hazard rate order, and the likelihood ratio order by way of the majorization of shape parameters. For additional research, we investigate the lifetime of system components to be dependent or independent under conditions that the baseline distribution function of components is identical or non-identical. A numerical example based on real-life data is presented as an illustration.
Keywords
Stochastic Order
Majorization
Parallel Systems
Subjects
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Journal of the Iranian Statistical Society
Volume 22, Issue 2
December 2023
Pages 163-183

  • Receive Date 06 November 2023
  • Revise Date 02 June 2024
  • Accept Date 03 July 2024