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Title:Bootstrapping density-weighted average derivatives PDF Logo
Authors:Cattaneo, Matias D.
Crump, Richard K.
Jansson, Michael
Issue Date:2010
Series/Report no.:Staff Report, Federal Reserve Bank of New York 452
Abstract:Employing the 'small-bandwidth' asymptotic framework of Cattaneo, Crump, and Jansson (2009), this paper studies the properties of several bootstrap-based inference procedures associated with a kernel-based estimator of density-weighted average derivatives proposed by Powell, Stock, and Stoker (1989). In many cases, the validity of bootstrap-based inference procedures is found to depend crucially on whether the bandwidth sequence satisfies a particular (asymptotic linearity) condition. An exception to this rule occurs for inference procedures involving a studentized estimator that employs a 'robust' variance estimator derived from the 'small-bandwidth' asymptotic framework. The results of a small-scale Monte Carlo experiment are found to be consistent with the theory and indicate in particular that sensitivity with respect to the bandwidth choice can be ameliorated by using the 'robust' variance estimator.
Subjects:Averaged derivatives
bootstrap
small-bandwidth asymptotics
JEL:C12
C14
C21
C24
Document Type:Working Paper
Appears in Collections:Staff Reports, Federal Reserve Bank of New York

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