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Stochastic Comparisons of Systems with Heterogeneous Log-Logistic Components

In: Applied Advanced Analytics

Author

Listed:
  • Shyamal Ghosh

    (University of the Free State)

  • Priyanka Majumder

    (Indian Institute of Technology Bombay)

  • Murari Mitra

    (Indian Institute of Engineering Science and Technology)

Abstract

The log-logistic distribution is a resilient family of life distributions that have been applied in an enormous number of fields. In this paper, we study stochastic comparisons for both parallel and series systems having heterogeneous log-logistic distributed components. The comparisons are performed in the sense of stochastic, reversed hazard rate, hazard rate, and likelihood ratio orderings. The consequences of the changes in the scale parameters or the shape parameters on the magnitude of the smallest and largest order statistics are also investigated in the sense of the above-mentioned orderings.

Suggested Citation

  • Shyamal Ghosh & Priyanka Majumder & Murari Mitra, 2021. "Stochastic Comparisons of Systems with Heterogeneous Log-Logistic Components," Springer Proceedings in Business and Economics, in: Arnab Kumar Laha (ed.), Applied Advanced Analytics, pages 157-173, Springer.
    • Handle: RePEc:spr:prbchp:978-981-33-6656-5_14
    DOI: 10.1007/978-981-33-6656-5_14
    as

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