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Infill Asymptotics Inside Increasing Domains for the Least Squares Estimator in Linear Models
Authors:Fazekas  István  Kukush   Alexander G.
Affiliation:(1) University of Debrecen, Debrecen, Hungary;(2) Kiev University, Kiev, Ukraine
Abstract:A linear model observed in a spatial domain is considered. Consistency and asymptotic normality of the least squares estimator is proved when the observations become dense in a sequence of increasing domains and the error terms are weakly dependent. Similar statements are obtained for the linear errors-in-variables model. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:α  -mixing  asymptotic normality  consistency  errors-in-variables  infill asymptotics  least squares estimator  linear model  spatial observations
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