On Stein's Method of Moments and Generalized Score Matching

Fuente: arXiv
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Auteurs principaux: Kume, Alfred, Walker, Stephen G.
Format: Preprint
Publié: 2026
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author Kume, Alfred
Walker, Stephen G.
author_facet Kume, Alfred
Walker, Stephen G.
contents We show that a special case of method of moment estimator derived from the Stein class coincides with the class of generalized score matching estimator. Choosing a suitable weight function for generalized score matching is not straightforward. However, by placing it within the method of moment framework we can alleviate this problem by extending the Stein class to generalized method of moments. As a consequence we can work with a number of functions and hence derive generalized score matching estimators with optimal properties.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06482
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Stein's Method of Moments and Generalized Score Matching
Kume, Alfred
Walker, Stephen G.
Methodology
We show that a special case of method of moment estimator derived from the Stein class coincides with the class of generalized score matching estimator. Choosing a suitable weight function for generalized score matching is not straightforward. However, by placing it within the method of moment framework we can alleviate this problem by extending the Stein class to generalized method of moments. As a consequence we can work with a number of functions and hence derive generalized score matching estimators with optimal properties.
title On Stein's Method of Moments and Generalized Score Matching
topic Methodology
url https://arxiv.org/abs/2602.06482