A Smoothed-Distribution Form of Nadaraya-Watson Estimation
Given observation-pairs (xi ,yi ), i = 1,...,n , taken to be independent observations of the random pair (X ,Y), we sometimes want to form a nonparametric estimate of m(x) = E(Y/ X = x). Let YE have the empirical distribution of the yi , and let (XS ,YS ) have the kernel-smoothed distribution of the (xi ,yi ). Then the standard estimator, the Nadaraya-Watson form mNW(x) can be interpreted as E(YE?XS = x). The smoothed-distribution estimator ms (x)=E(YS/XS = x) is a more general form than mNW (x) and often has better properties. Similar considerations apply to estimating Var(Y/X = x), and to local polynomial estimation. The discussion generalizes to vector (xi ,yi ).
|Date of creation:||Nov 2010|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: + 351 239 790 500
Fax: +351 239 403511
Web page: http://www.uc.pt/en/feuc/gemf/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Carlo V. Fiorio, 2004. "Confidence intervals for kernel density estimation," Stata Journal, StataCorp LP, vol. 4(2), pages 168-179, June.
- Christopher B. Barrett & Paul A. Dorosh, 1996. "Farmers' Welfare and Changing Food Prices: Nonparametric Evidence from Rice in Madagascar," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(3), pages 656-669.
When requesting a correction, please mention this item's handle: RePEc:gmf:wpaper:2011-01. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sara Santos)
If references are entirely missing, you can add them using this form.