English

Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components

Statistics Theory 2021-12-17 v2 Statistics Theory

Abstract

This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is modeled by Archimedean survival copula. We discuss some potential applications of our findings in system reliability and actuarial science.

Keywords

Cite

@article{arxiv.2002.04271,
  title  = {Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components},
  author = {Arindam Panja and Pradip Kundu and Biswabrata Pradhan},
  journal= {arXiv preprint arXiv:2002.04271},
  year   = {2021}
}

Comments

20 pages, 4 figures