BAYESIAN APPROACH TO THE CHOICE OF SMOOTHING PARAMETER IN KERNEL DENSITY ESTIMATION.

Autor: Gangopadhyay, Ashis K., Cheung, Kin N.
Předmět:
Zdroj: Journal of Nonparametric Statistics; Dec2002, Vol. 14 Issue 6, p655-664, 10p, 3 Graphs
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index