On extreme order statistics from heterogeneous beta distributions with applications

Peng Zhao, Lei Wang and Yiying Zhang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 14, 7020-7038

Abstract: This paper treats the problem of stochastic comparisons for the extreme order statistics arising from heterogeneous beta distributions. Some sufficient conditions involved in majorization-type partial orders are provided for comparing the extreme order statistics in the sense of various magnitude orderings including the likelihood ratio order, the reversed hazard rate order, the usual stochastic order, and the usual multivariate stochastic order. The results established here strengthen and extend those including Kochar and Xu (2007), Mao and Hu (2010), Balakrishnan et al. (2014), and Torrado (2015). A real application in system assembly and some numerical examples are also presented to illustrate the theoretical results.

Date: 2017
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DOI: 10.1080/03610926.2016.1143007

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