Ordering properties of sample minimum from Kumaraswamy-G random variables. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Kundu, Amarjit; Chowdhury, Shovan
• Is Part Of: Statistics. Volume 52:Issue 1(2018)
• Page Start: 133
• Page End: 146
• Publication Date: 2018-01-02
• Subjects: Order statistics -- majorization -- reversed hazard rate order -- multiple-outlier model -- likelihood ratio order; 60E15 -- 60K10; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2017.1353516
• Languages: English
• ISSNs: 0233-1888

Abstract

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.