Ordering properties of sample minimum from Kumaraswamy-G random variables

ABSTRACT

In this paper we compare the minimums of two independent and heterogeneous samples each following Kumaraswamy (Kw)-G distribution with the same and the different parent distribution functions. The comparisons are carried out with respect to usual stochastic ordering and hazard rate ordering with majorized shape parameters of the distributions. The likelihood ratio ordering between the minimum order statistics is established for heterogeneous multiple-outlier Kw-G random variables with the same parent distribution function.

KEYWORDS:

• Order statistics
• majorization
• reversed hazard rate order
• multiple-outlier model
• likelihood ratio order

2010 AMS SUBJECT CLASSIFICATIONS:

• 60E15
• 60K10

Acknowledgments

The authors are thankful to the reviewers, the associate editor and the editor for their constructive comments and suggestions which have resulted in an improvement in the presentation of this manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.