Nonparametric density estimation for stratified samples
AbstractWe consider a weighted, nonparametric density estimator for stratified samples. We derive the optimal bandwidth using information on within-stratum variances and means. We provide a plug-in bandwidth when all strata are normally distributed. We show that the optimal sampling scheme is stratified sampling proportional to size, irrespective of the stratum-specific densities.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 78 (2008)
Issue (Month): 14 (October)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
Other versions of this item:
- Robert Breunig, 2001. "Nonparametric Density Estimation for Stratified Samples," ANU Working Papers in Economics and Econometrics 2005-459, Australian National University, College of Business and Economics, School of Economics, revised Nov 2005.
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C42 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Survey Methods
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.:
- Pagan,Adrian & Ullah,Aman, 1999.
Cambridge University Press, number 9780521355643, October.
- Robert Breunig, 2001. "Density Estimation For Clustered Data," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 353-367.
- Daniel J. Henderson & Christopher F. Parmeter & R. Robert Russell, 2008. "Modes, weighted modes, and calibrated modes: evidence of clustering using modality tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(5), pages 607-638.
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