Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components

Abstract

This paper treats the problem of stochastic comparisons of two parallel systems with independent heterogeneous components having lifetimes following exponentiated Kumaraswamy-G model. The cases of same and different parent distribution functions are considered. Majorization type partial orders-based sufficient conditions in comparing the largest order statistics in terms of the usual stochastic order, reversed hazard rate order and likelihood ratio order are obtained. The likelihood ratio order among largest order statistics is established for the heterogeneous multiple-outlier exponentiated Kumaraswamy-G models. Several numerical examples are presented for illustrations as well.

Keywords:

• Exponentiated Kumaraswamy-G model
• majorization
• usual stochastic order
• hazard rate order
• likelihood ratio order
• multiple-outlier model
• T-transform matrix

MATHEMATICS SUBJECT CLASSIFICATION:

• 60E15
• 60E10

Acknowledgements

The authors sincerely wish to thank the Editor, Associate Editor and the two anonymous referees for the suggestions, which have considerably improved the content and the presentation of the paper. The author, Suchandan Kayal gratefully acknowledges the financial support for this research work under grant MTR/2018/000350 from the Department of Science and Technology (SERB), India.

Additional information

Funding

This work was supported by Science and Engineering Research Board.