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M-estimators as GMM for Stable Laws Discretizations
Author(s) -
Davood Farbod
Publication year - 2011
Publication title -
journal of statistical research of iran
Language(s) - English
Resource type - Journals
ISSN - 1735-1294
DOI - 10.18869/acadpub.jsri.8.1.85
Subject(s) - estimator , generalized method of moments , parametric statistics , mathematics , sample (material) , function (biology) , statistical physics , econometrics , statistics , physics , thermodynamics , evolutionary biology , biology
This paper is devoted to “Some Discrete Distributions Generated by Standard Stable Densities” (in short, Discrete Stable Densities). The large-sample properties of M-estimators as obtained by the “Generalized Method of Moments” (GMM) are discussed for such distributions. Some corollaries are proposed. Moreover, using the respective results we demonstrate the large-sample properties for a parametric function.

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