Estimation of P [Y < X] for generalized exponential distribution in presence of outlier

This paper deals with the estimation of P(Y < X), where Y has generalized exponential distribution with parameters a and A and X has mixture gen-eralized exponential distribution (or marginal distribution of X, X2,…. Xn,in presence of one outlier with parameters ß1 and ß2 ) such that X and Y are independent, when the scale parameter (A) is known the maximum like-lihood estimator of R = P(Y < X) is derived. Analysis of a simulated data set has also been presented for illustrative purposes.

Keywords:

maximum like lihood estimator , outlier , stress strength model