This paper deals with properties of three indirect estimators that are known to be (first order) asymptotically equivalent. Specifically, we examine a) the issue of validity of the formal Edgeworth expansion of an arbitrary order. b) Given a), we are concerned with valid moment approximations...

In this paper we define a set of indirect estimators based on moment approximations of the auxilary estimators. We provide results that describe higher order asymptotic properties of these estimators. The introduction of these is motivated by reasons of analytical and computational facilitation....