  The exponential distribution is applied in a very wide variety of statistical
procedures. Among the most prominent applications are those in the field of
life testing and reliability theory. When there are two record samples
available for estimating the scale parameter, a preliminary test is usually
used to determine whether to pool the samples or use the individual sample. In
this paper, the preliminary test estimator and shrinkage estimator are studied.
The optimum level of significance for preliminary test estimation and the
optimum values of shrinkage coefficient are obtained based on minimax regret
criterion under the weighted square error loss function.
