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  An approximation for analyzing a broad class of implicitly and explicitly defined estimators
 
 
Title: An approximation for analyzing a broad class of implicitly and explicitly defined estimators
Author: Spall, James C.
Appeared in: Communications in statistics
Paging: Volume 15 (1986) nr. 12 pages 3747-3762
Year: 1986
Contents: An approximation is presented that can be used to gain insight into the characteristics - such as outlier sensitivity, bias, and variability - of a wide class of estimators, including maximum likelihood and least squares. The approximation relies on a convenient form for an arbitrary order Taylor expansion in a multivariate setting. The implicit function theorem can be used to construct the expansion when the estimator is not defined in closed form. We present several finite-sample and asymptotic properties of such Taylor expansions, which are useful in characterizing the difference between the estimator and the expansion.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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