Consistent estimators in nonlinear regression for a noncompact parameter space
type: Item
instance of: scholarly article
title: Consistent estimators in nonlinear regression for a noncompact parameter space
zbMATH Open document ID: 0625.62045
author: Gary Richardson
author: B. B. Bhattacharyya
published in: The Annals of Statistics
publication date: 1986-01-01T00:00:00Z
review text: Sufficient conditions are given in order to ensure the existence of a sequence of strongly consistent estimators of unknown parameters in a nonlinear regression model. The primary difference between this and earlier work is in the generality of the parameter space. Indeed, the parameter space is assumed to be any separable, completely regular topological space; in particular, this includes all separable metric spaces.
Mathematics Subject Classification ID: 62J02
Mathematics Subject Classification ID: 62F12
zbMATH DE Number: 4015945
zbMATH Keywords: nonlinear least squares estimator
zbMATH Keywords: Stone-Cech compactification
zbMATH Keywords: noncompact spaces
zbMATH Keywords: strongly consistent estimators
zbMATH Keywords: separable, completely regular topological space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176350179
OpenAlex ID: W2033202028
DOI: 10.1214/AOS/1176350179
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description: scientific article; zbMATH DE number 4015945