A parametric solution for simple stress—strength model of failure with an application

摘要

Estimation of P(R ⩽ S) is considered for the simple stress—strength model of failure. Using the Pareto and Power distributions together with their combined form a useful parametric solution is obtained and is illustrated numerically. It is shown that these models are also applicable when only the tails of distributions for R and S are considered. An application to the failure study concerning the fractures is also included