Stochastic Comparisons of Systems with Heterogeneous Log-Logistic Components

Shyamal Ghosh (), Priyanka Majumder () and Murari Mitra ()
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Shyamal Ghosh: University of the Free State
Priyanka Majumder: Indian Institute of Technology Bombay
Murari Mitra: Indian Institute of Engineering Science and Technology

A chapter in Applied Advanced Analytics, 2021, pp 157-173 from Springer

Abstract: 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.

Keywords: Order statistics; Majorization; Schur-convex; Stochastic orders; Multiple-outlier model (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:prbchp:978-981-33-6656-5_14

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DOI: 10.1007/978-981-33-6656-5_14

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