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Edgeworth expansion in partial linear models
Authors:Shi Jian
Institution:(1) Institute Systems Science, Academic of Sinica, 100080 Beijing, China
Abstract:In this paper, under some fairly general conditions, a first-order Edgeworth expansion for the standardized statistic of β in partial linear models is given, then a non-residual type of consistent estimation for the error variance is constructed, and finally an Edgeworth expansion for the corresponding studentized version is presented.
Keywords:Partial linear model  Edgeworth expansion  Least-square estimation  Weight functions
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