Stress-strength reliability: a quantile approach. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Mathew, Angel; Deepa, K. R.
• Is Part Of: Statistics. Volume 56:Issue 1(2022)
• Page Start: 206
• Page End: 221
• Publication Date: 2022-01-02
• Subjects: Stress-strength reliability -- quantile functions -- distribution functions -- multi-component systems; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2022.2038167
• Languages: English
• ISSNs: 0233-1888

Abstract

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.