Bayesian approach to the choice of smoothing parameter in kernel density estimation
- 1 January 2002
- journal article
- research article
- Published by Taylor & Francis in Journal of Nonparametric Statistics
- Vol. 14 (6), 655-664
- https://doi.org/10.1080/10485250215320
Abstract
In data driven bandwidth selection procedures for density estimation such as least squares cross validation and biased cross validation, the choice of a single global bandwidth is too restrictive. It is however reasonable to assume that the bandwidth has a distribution of its own and that locally, depending on the data, the bandwidth may differ. In this approach, the bandwidth is assigned a prior distribution in the neighborhood around the point at which the density is being estimated. Assuming that the kernel function is a proper probability distribution, a Bayesian approach is employed to come up with a posterior type distribution of the bandwidth given the data. Finally, the mean of the posterior distribution is used to select the local bandwidth.Keywords
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