Computational Statistics and Data Analysis (2001), 36(3), 279-298.
David Bashtannyk and Rob J Hyndman
Abstract: We consider bandwidth selection for the kernel estimator of conditional density with one explanatory variable. Several bandwidth selection methods are derived ranging from fast rules-of-thumb which assume the underlying densities are known to relatively slow procedures which use the bootstrap. The methods are compared and a practical bandwidth selection strategy which combines the methods is proposed. The methods are compared using two simulation studies and a real data set.
Keywords: density estimation; kernel smoothing; conditioning; bandwidth selection.
- \(d\) should be \(|d|\) in the normal reference rule formulae.