JSM Preliminary Online Program
This is the preliminary program for the 2009 Joint Statistical Meetings in Washington, DC.

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Activity Number: 121
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #304466
Title: Finite Mixture of Heteroscedastic Single Index Models
Author(s): Peng Zeng*+
Companies: Auburn University
Address: Department of Mathematics and Statistics, Auburn, AL, 36849,
Keywords: finite mixture model ; single index model ; semi-parametric regression ; EM algorithm ; clustering analysis
Abstract:

Modeling high dimensional data is challenging when it is difficult to specify an appropriate parametric model due to the lack of enough prior knowledge. In this talk, we consider a semiparametric model for regression. Assume that the whole population consists of several subpopulations, and each subpopulation only depends on the predictors via its one linear combination. Each subpopulation is modeled by a single index model with heteroscedasticity, and thus the whole population is modeled by a finite mixture of heteroscedastic single index models. The model is fitted via a variant of EM algorithm. Some theoretical results and implementation concerns are discussed. Both simulation studies and real examples are used to demonstrate the application of this model.


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