摘要
In this paper, we obtain the UMVUE gn(1) of a polynomial of 1/m, say g(1/m), for several NEFs on [0, +∞), where m = E(X) and gn(1) is a polynomial of 1 with the same degree as g(1/m). These estimators are asymptotically normal and asymptotically efficient. The NEFs are the Gamma, the Inverse Gaussian and the Ressel as well as the Abel families.
In this paper, we obtain the UMVUE gn(1) of a polynomial of 1/m, say g(1/m), for several NEFs on [0, +∞), where m = E(X) and gn(1) is a polynomial of 1 with the same degree as g(1/m). These estimators are asymptotically normal and asymptotically efficient. The NEFs are the Gamma, the Inverse Gaussian and the Ressel as well as the Abel families.