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Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull components

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  • Narayanaswamy Balakrishnan
  • Phalguni Nanda
  • Suchandan Kayal

Abstract

In this paper, we deal with comparisons of the smallest and largest order statistics arising from independent heterogeneous generalized modified Weibull random variables in terms of various stochastic orderings. The main results established here are based on (i) vector majorization of parameters and (ii) multivariate chain majorization with heterogeneity in two and three parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:apsmbi:v:34:y:2018:i:6:p:816-834
    DOI: 10.1002/asmb.2353
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Sangita Das & Suchandan Kayal, 2020. "Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(8), pages 869-893, November.

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