admissible estimation in an one parameter nonregular family of absolutely continuous distributions

Consider the problem of estimating under entropy loss an arbitrarily positive , strictly increasing or decreasing parametric function based on a sample of size b in an one parameter boregular family of absolutly continuous distributions with both endpoints of the support depending on a single parameter.

Keywords:

one parameter nonregular family , generalized bayes estimator admissibility , entropy loss , best invariant estimator.