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Statistics > Methodology

Title: Sufficient Conditions for a Linear Estimator to be a Local Polynomial Regression

Abstract: It is shown that any linear estimator that satisfies the moment conditions up to order $p$ is equivalent to a local polynomial regression of order $p$ with some non-negative weight function if and only if the kernel has at most $p$ sign changes. If the data points are placed symmetrically about the estimation point, a linear weighting function is equivalent to the standard quadratic weighting function.
Comments: Manuscript date 1993
Subjects: Methodology (stat.ME)
Cite as: arXiv:1803.06050 [stat.ME]
  (or arXiv:1803.06050v1 [stat.ME] for this version)

Submission history

From: Kurt Riedel [view email]
[v1] Fri, 16 Mar 2018 01:23:47 GMT (8kb)