Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Sep, 1995, Volume 63, Issue 5

Second Order Approximation in the Partially Linear Regression Model<1079:SOAITP>2.0.CO;2-4
p. 1079-1112

Oliver Linton

We examine the second order properties of various quantities of interest in the partially linear regression model. We obtain a stochastic expansion with remainder $O_P(n^{-2\mu})$, where $\mu < 1/2$, for the standardized semiparametric least squares estimator, a standard error estimator, and a studentized statistic. We use the second order expansions to correct the standard error estimates for second order effects, and to define a method of bandwidth choice. A Monte Carlo experiment provides favorable evidence on our method of bandwidth choice.

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