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Stochastic comparisons of series and parallel systems with generalized linear failure rate components

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  • Longxiang Fang
  • N. Balakrishnan

Abstract

In this paper, we discuss stochastic comparisons of series and parallel systems comprising independent and heterogeneous generalized linear failure rate components. When a system with possibly different shape and scale parameters has its matrix of parameters changing to another matrix of parameters in a certain mathematical sense, we examine the usual stochastic order of the smallest and largest order statistics under such a setup. Copyright © 2017 John Wiley & Sons, Ltd.

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  • Longxiang Fang & N. Balakrishnan, 2017. "Stochastic comparisons of series and parallel systems with generalized linear failure rate components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 33(2), pages 248-255, March.
    • Handle: RePEc:wly:apsmbi:v:33:y:2017:i:2:p:248-255
    DOI: 10.1002/asmb.2239
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    Cited by:

    1. Narayanaswamy Balakrishnan & Phalguni Nanda & Suchandan Kayal, 2018. "Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(6), pages 816-834, November.

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