Stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components

ABSTRACT

Due to the flexibility of the hazard rate function of the Lomax-exponential distribution, it provides a good alternative for some existing life distributions in modelling positive real data sets in practice. Recently, heterogeneity of components in a system is an appealing topic in some research studies. In this article, we discuss some stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components in the sense of comparing the parameter vectors and matrices. Finally, some examples are illustrated for some of the proven results.

KEYWORDS:

• Lomax-exponential distribution
• stochastic ordering
• majorization
• series system

AMS SUBJECT CLASSIFICATION:

• 60E15
• 60K10

Acknowledgments

We thank and express our deep gratitude to referees, all members of the editorial board, and the valued editor for their useful suggestions and comments, which helped us to improve the article.

Disclosure statement

No potential conflict of interest was reported by the authors.

Notes

¹ The right continuous inverse of an increasing function is defined as .