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: 2017-01-31
Authors : K. Sivasakthi; T. M. Durairajan; Martin L. William;
Page : 81-88
Keywords : Fisher Information; Maximum Likelihood Estimators; Super-Efficiency;
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.
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