Ordering properties of largest order statistics from independent and heterogeneous Dagum populations

Longxiang Fang, Meifang Cheng, Daoxiang Cao and Ying Ding

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 7, 1768-1779

Abstract: The Dagum distribution has been extensively used to model income data, and its features have been appreciated in economics and financial studies. In this article, we discuss ordering properties of largest order statistics from independent and heterogeneous Dagum populations. We present some sufficient conditions for stochastic comparisons between largest order statistics in terms of the reversed hazard rate order, the usual stochastic order, the convex order, the likelihood ratio order and the dispersive order. Several numerical examples are presented to illustrate the results established here.

Date: 2020
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DOI: 10.1080/03610926.2019.1565835

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