• Corpus ID: 88523437

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

@article{Sidorenko2018SufficientCF,
  title={Sufficient Conditions for a Linear Estimator to be a Local Polynomial Regression},
  author={Alexander Sidorenko and Kurt S. Riedel},
  journal={arXiv: Methodology},
  year={2018}
}

• A. Sidorenko, K. Riedel
• Published 16 March 2018
• Mathematics
• arXiv: Methodology

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.