On stochastic comparisons of minimum order statistics from the location–scale family of distributions

Nil Kamal Hazra, Mithu Rani Kuiti, Maxim Finkelstein () and Asok K. Nanda
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Nil Kamal Hazra: University of the Free State
Mithu Rani Kuiti: Indian Institute of Management Calcutta (IIMC)
Maxim Finkelstein: University of the Free State
Asok K. Nanda: Indian Institute of Science Education and Research (IISER) Kolkata

Metrika: International Journal for Theoretical and Applied Statistics, 2018, vol. 81, issue 2, No 1, 105-123

Abstract: 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.

Keywords: Majorization orders; Series system; Schur-convex/concave function; Stochastic orders; 60E15 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00184-017-0636-x

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