On stochastic comparisons of minimum order statistics from the location–scale family of distributions |
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| Authors: | Nil Kamal Hazra Mithu Rani Kuiti Maxim Finkelstein Asok K Nanda |
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| Institution: | 1.Department of Mathematical Statistics and Actuarial Science,University of the Free State,Bloemfontein,South Africa;2.Department of Operations Management,Indian Institute of Management Calcutta (IIMC),Kolkata,India;3.ITMO University,Saint Petersburg,Russia;4.Department of Mathematics and Statistics,Indian Institute of Science Education and Research (IISER) Kolkata,Mohanpur,India |
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| Abstract: | We consider stochastic comparisons of minimum order statistics from the location–scale family of distributions that contain most of the popular lifetime distributions. Under certain assumptions, we show that the minimum order statistic of one set of random variables dominates that of another set of random variables with respect to different stochastic orders. Furthermore, we illustrate our results using some well-known specific distributions. |
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