Reliability study of series and parallel systems of heterogeneous component lifetimes under proportional odds model

Abstract

In this paper, we investigate various stochastic orderings for series and parallel systems with independent and heterogeneous components having lifetimes following the proportional odds model. We also investigate comparisons between system with heterogeneous components and that with homogeneous components. This paper also studies relative ageing orders for two systems in the framework of components having lifetimes following the proportional odds model.

30 pages, 7 figures

Cited by in corpus (2)

• Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components
• Dispersive and star ordering of sample extremes from dependent random variables following the proportional odds model