Abstract

In this study, the reliability of a multicomponent stress-strength model and its estimate are considered. When a component having strength X is exposed to a stress Y , its reliability is given by the probability R = P(X > Y ), where X and Y are both scalars. Extending the idea to a multicomponent situation, some authors take X and Y to be vectors. In the present study, we choose X to be a vector assuming the availability of several strengths while Y remains a scalar. The reliability under such a model is defined to be R = P(min strength > Y ). Two possible models for strength are considered, namely, the classical bivariate Clayton copula and Gumbel-Hougaard (GH) copula (Nelsen, 2006). The results obtained are evaluated graphically. Finally, a simulation study is conducted to have estimators of R.

Author: Agnideep Aich, Ashit Baran Aich, Bruce Wade

Received on: October, 2024

Accepted on: April, 2025