RELIABILITY ESTIMATION FROM

This paper considers the problem of estimating the mixture parameter , the scale parameters 1; 2, the location parameters u; and the probability R = Pr (Y < X) when X and Y are independent, identically Luceno random variables with common scale and mixture parameters and unequal location parameters. The unbiased maximum likelihood estimators (MLE) of ; 1; 2; u; and R are obtained. The performance of these estimators for moderate sample sizes is studied by Monte Carlo simulation. It appears that the procedure used to estimate the parameters, at least for the mixture parameter and the reliability R, is reasonable.