Abstract #301072

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JSM 2003 Abstract #301072
Activity Number: 249
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301072
Title: The Gamma-Frailty Poisson Model for the Nonparametric Estimation of Panel Count Data
Author(s): Ying Zhang*+ and Mortaza (Mori) Jamshidian
Companies: University of Central Florida and California State University
Address: PO Box 162370, Orlando, FL, 32816-2370,
Keywords: EM algorithm ; isotonic regression ; Monte Carlo ; nonparametric maximum pseudo-likelihood estimate
Abstract:

We study nonparametric estimation of the mean function of a counting process with panel observations. We introduce the gamma-frailty variable to account for the intracorrelation between the panel counts of the counting process. Three simulated examples are given to show that this estimating procedure, while preserving the robustness and simplicity of the computation, improves the efficiency over the nonparametric maximum pseudo-likelihood estimate studied in Wellner and Zhang (2000). A real example from a bladder tumor study is used to illustrate the method.


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