JSM 2011 Online Program

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Abstract Details

Activity Number: 346
Type: Contributed
Date/Time: Tuesday, August 2, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #303388
Title: Semiparametric Function Estimation Using Shrinkage Techniques
Author(s): Mohamed Amezziane*+ and Syed Ejaz Ahmed
Companies: DePaul University and University of Windsor
Address: , , 60660,
Keywords: pre-test estimators ; nonparametric estimation ; shrinakge estimation ; smoothing parameter ; shrinkage coefficient
Abstract:

We use shrinkage techniques to develop a class of semiparametric estimators of functions (distribution, density, regression, etc.) which can be obtained as linear combinations of fully determined parametric functions and nonparametric function estimators. We present the asymptotic properties of the proposed class of estimators and compare their performance to that of classical nonparametric estimators. Moreover, we show that the proposed estimators do not require the use of optimally selected smoothing parameters and are therefore less sensitive to the effect of curse of dimensionality.


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