Abstract:
This paper deals with the estimation of stress strength reliability parameter R, which is the probability
of Y less than X when X and Y are two independent distribution with different scale parameter and same
shape parameter. The maximum likelihood method is used to find an estimator for R. We also obtain the
asymptotic distribution of the maximum likelihood estimator of R. Based on this asymptotic distribution,
the asymptotic confidence interval can be obtained. We also propose bootstrap confidence interval for
the parameter R. Analysis of a simulated data and a real life data have been presented for illustrative
purposes
