Stress-strength reliability: a quantile approach

Abstract

In reliability modelling and analysis of systems, quantile functions play a significant role when the distribution function under consideration does not possess an analytically tractable form, though the corresponding quantile function has an explicit form. In the present paper, we propose a quantile-based approach for stress-strength reliability of a system. We also introduce the quantile versions of stress-strength reliability for residual lifetime random variables. The effect of monotone transformations and some characterizations of the proposed measures are discussed. The reliability of multi-component stress-strength systems based on quantiles is also considered.

KEYWORDS:

• Stress-strength reliability
• quantile functions
• distribution functions
• multi-component systems

Acknowledgments

The authors are grateful to the reviewers’ and associate editor for their valuable comments, which have considerably improved the content and presentation of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the author(s).