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Obtaining Super-Efficient Estimators for a Real-Valued Parameter: Delta Method

Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 1)

Publication Date:

Authors : ; ; ;

Page : 81-88

Keywords : Fisher Information; Maximum Likelihood Estimators; Super-Efficiency;

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Abstract

This paper addresses the problem of finding super-efficient estimators for single parameter families. Initially, the original approach of Hodges (1951) is presented. A procedure for obtaining super-efficient estimators with respect to 'Fisher Information', using the 'Delta Method' of asymptotic inference theory is derived and illustrated with examples.

Last modified: 2017-01-28 20:02:13