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Reversed preservation of stochastic orders for random minima and maxima with applications

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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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Authors and Affiliations

  1. Department of Statistics and Actuarial Science, University of Central Florida, 32816-2370, Orlando, Florida, USA

    Ibrahim Ahmad

  2. Department of Mathematics, Faculty of Education (Suez), Suez Canal University, Suez, Egypt

    Mohamed Kayid

Authors
  1. Ibrahim Ahmad
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  2. Mohamed Kayid
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Ahmad, I., Kayid, M. Reversed preservation of stochastic orders for random minima and maxima with applications. Statistical Papers 48, 283–293 (2007). https://doi.org/10.1007/s00362-006-0331-x

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  • DOI: https://doi.org/10.1007/s00362-006-0331-x

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