  The U,V method of estimation provides unbiased estimators or predictors of
random quantities. The method was introduced by Robbins \citer3 and
subsequently studied in a series of papers by Robbins and Zhang. (See Zhang
\citer5.) Practical applications of the method are featured in these papers. We
demonstrate that for one U function (one for which there is an important
application) the V estimator is inadmissible for a wide class of loss
functions. For another important U function the V estimator is admissible for
the squared error loss function.
