Estimation of stress-strength reliability from truncated type-I generalised logistic distribution (Q1639492)

Summary: In this paper, we are mainly interested in estimating the stress-strength reliability \(R = P(Y < X)\) when \(X\) and \(Y\) are two independent truncated type-I generalised logistic distributions with different shape parameters but having the same scale parameters. The model arises from type-I generalised logistic distribution truncated at zero, because lifetime data is always non-negative. Assuming that the common scale parameter is known, the maximum likelihood estimators of the parameters are developed and an asymptotic confidence interval for \(R\) is obtained. Extensive simulation studies are carried out to investigate the performance of these intervals. Using real data we illustrate the procedure.