Stochastic comparisons between extreme order statistics from scale models. Issue 6 (2nd November 2017)

• Record Type: Journal Article
• Authors: Torrado, Nuria
• Is Part Of: Statistics. Volume 51:Issue 6(2017)
• Page Start: 1359
• Page End: 1376
• Publication Date: 2017-11-02
• Subjects: Parallel systems -- series systems -- scale model -- stochastic ordering -- order statistics; 62G30 -- 60E15 -- 60K10; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2017.1316505
• Languages: English
• ISSNs: 0233-1888

Abstract

ABSTRACT: Stochastic ordering relations between extreme order statistics from exponential, Weibull and gamma distributions have been studied extensively by many researchers in recent years. In this work, we obtain various ordering results for the comparisons of two extreme order statistics from scale models when one set of scale parameters majorizes the other. The new results obtained here are applied when the baseline distributions are exponentiated Weibull or generalized gamma distributions. In this way, we generalize and extend some results established recently in the literature.