Stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components. (2nd October 2018)

• Record Type: Journal Article
• Authors: Nadeb, Hossein; Torabi, Hamzeh
• Is Part Of: Journal of statistical theory and practice. Volume 12:Number 4(2018)
• Page Start: 794
• Page End: 812
• Publication Date: 2018-10-02
• Subjects: Lomax-exponential distribution -- stochastic ordering -- majorization -- series system; 60E15 -- 60K10; 519.505
• DOI: 10.1080/15598608.2018.1474819
• Languages: English
• ISSNs: 1559-8608

Abstract

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.