Ordering properties of largest order statistics from independent and heterogeneous Dagum populations |
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| Authors: | Longxiang Fang Meifang Cheng Daoxiang Cao Ying Ding |
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| Institution: | 1. Department of Mathematics &2. Statistics, Anhui Normal University, Wuhu, PR China;3. lxfang@fudan.edu.cn;5. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, PR China |
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| Abstract: | AbstractThe 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. |
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| Keywords: | Dagum distribution reversed hazard rate order usual stochastic order convex order likelihood ratio order dispersive order |
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