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Identify Design Conditions to Achieve the Optimal Rate of Convergence in a Bivariate Additive Model

2008 - 01 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

This paper considers the estimation problem in a bivariate additive model, for . Here and is a random error and is assumed to be smooth which is approximated by B-splines. However, is not necessary to be smooth. This problem is motivated by the normalization needed in correcting intensity effects in microarray study. In this talk, an almost necessary and sufficient condition is given to guarantee that can be estimated with the usual one-dimensional optimal rate of convergence. We also present a simulation study to illustrate various convergence rate can be obtained when the proposed design condition is not satisfied.

Time:November 20, 2007 - July 31, 2009
Room:
Organizer:Hung Chen ( Department of Mathematics, National Taiwan University )

Available Talk List

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2007-12-04 (Tue.)		Model Selection via the Group Lasso
2008-01-08 (Tue.)		Nonparametric Estimation For Time-Dependent AUC
2008-01-15 (Tue.)		Identify Design Conditions to Achieve the Optimal Rate of Convergence in a Bivariate Additive Model
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2008-03-21 (Fri.)		Pseudo-Partial Likelihood Estimators for Cox Regression Model With Missing Covariates
2008-04-15 (Tue.)		Nonparametric Estimation of the Joint Distribution of Survival Time and Mark variables
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2008-08-12 (Tue.)		Review of the paper “Analysis of interval-censored longitudinal data with application to onco-haematology”
2008-08-26 (Tue.)		Potential sampling bias of regression models and evolving population models
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2008-11-21 (Fri.)		Review of Local Polynomial Kernel Regression for Generalized Linear Models and Quasi-Likelihood Functions (Fan, J.,Heckman, N. E., and Wand, M. P. (1995))
2008-12-05 (Fri.)		General Adaptive Sparse Principal Component Analysis
2008-12-17 (Wed.)		Supreme Court Judges: Blue or Red?
2008-12-26 (Fri.)		Review of paper “Semiparametric Estimation of Index Coefficients" by Powell J. L., Stock, J. H., and Stoker, T. M.
2009-01-07 (Wed.)		Prediction and Diagnosis of Disease Outcome with Microarray Data and a Classification Method Based on a New Information Measure
2009-02-20 (Fri.)		Review of the paper ``Evaluating Prediction Rules for t-Year
2009-03-06 (Fri.)		Review on the Estimation of Prediction Error in terms of Covariance Penalty
2009-03-11 (Wed.)		Linear Regression Analysis Extension and Application in Financial Market
2009-03-20 (Fri.)		Review on The paper ``Current methods for recurrent events data with dependent termination” (Sinha et al., 2008, JASA, 866-878)"
2009-04-10 (Fri.)		Review on the paper ``Partly conditional survival models for longitudinal data” (Zheng and Heagerty (2005)"
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2009-04-24 (Fri.)		Review on the paper ``Scan statistics with weighted observations”(Chan, H. and Zhang, N. (2007), JASA, 595-602)
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