Reversed preservation of stochastic orders for random minima and maxima with applications |
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| Authors: | Ibrahim Ahmad Mohamed Kayid |
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| Affiliation: | (1) Department of Statistics and Actuarial Science, University of Central Florida, 32816-2370 Orlando, Florida, USA;(2) Department of Mathematics, Faculty of Education (Suez), Suez Canal University, Suez, Egypt |
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| Abstract: | In this paper, reversed preservation properties of right spread order, total time on test order and increasing convex (concave) order when taking random minima and maxima are developed. In this context, reversed preservation properties of some ageing concepts are investigated under parallel (series) systems which are composed of a random number of i.i.d. components. Some applications in reliability and economics are given. |
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| Keywords: | Random minima (maxima) TTT-transform order right spread order increasing convex (concave) order DMRL NBUC NBU(2) NBUT |
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