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Weibull and inverse Wei bull distri butiuns have been characterized through k -k .conditional moments E(X r + 2 : n I X r: n=x) and E(Xr: II I X + 2 : II =x) respect' r vely, where XI': II is the roth order statistic from a sample of size n,

A variety of shrinkage methods have been proposed for estimation of some unknown parameter by considering estimators based on a prior guess of the value of the parameter. We compare some of the shrunken estimators for the parameters)! and 6 of the exponential distribution through simulation.