Suppose several parameters are to be estimated in sequence. Independent data relating to them are available, but data later in the sequence cannot be used to estimate earlier parameters. Then the use of an admissible estimator for each individual parameter is an admissible procedure in the combined problem using summed loss. If the estimator werenotrequired to be nonanticipative, the use might be inadmissible as in Stein's famous inadmissibility result.