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Stochastic comparisons of series and parallel systems with dependent Burr type XII components

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  • Ghobad Barmalzan
  • Seyed masih Ayat
  • Narayanaswamy Balakrishnan

Abstract

This paper deals with some stochastic comparisons of both series and parallel systems comprising dependent Burr Type XII components under the Archimedean copula. Sufficient conditions are also established for star ordering between the lifetimes of series and parallel systems based on multiple-outlier Burr model. The lifetime of a series system with dependent heterogeneous Burr components is proved to be smaller than that of a system with dependent homogeneous components in the sense of convex transform order.

Suggested Citation

  • Ghobad Barmalzan & Seyed masih Ayat & Narayanaswamy Balakrishnan, 2022. "Stochastic comparisons of series and parallel systems with dependent Burr type XII components," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(7), pages 2209-2230, April.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:7:p:2209-2230
    DOI: 10.1080/03610926.2020.1772307
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