Inference on reliability in inverted exponential stress-strength model based on generalized variable and percentile bootstrap confidence interval approachs

‎Singh (2015)‎‎considered the estimation of stress strength reliability parameter of inverted exponential distribution‎. ‎They obtained the Bayes estimator based on squared error loss and and linex loss function and the maximum likelihood estimator of the reliability R‎. ‎In this paper we interested to obtain interval estimation of the reliability parameter in a stress–strength model involving inverted exponential distribution base on them work‎. ‎We use two confidence interval procedures based on the Generalized Variable and Percentile bootstrap confidence interval methods‎. ‎We compare these interval estimation procedures in terms of Coverage Probability and Expected Length‎. ‎Simulation studies show that the GV method is satisfactory for practical applications even for small sample setting to construct confidence interval for parameter R‎.