Work

The Gamma‐Frailty Poisson Model for the Nonparametric Estimation of Panel Count Data

Year: 2003

Type: article

Abstract: In this article, 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 and construct a maximum pseudo-likelihood estimate with the frailty variable. Three simulated examples are given to show that this estimation procedure, while preserving the robustness and simplicity of the computation, improves the efficiency of the nonparametric maximum pseudo-likelihood estimate studied in Wellner and Zhang (2000, Annals of Statistics 28, 779-814). A real example from a bladder tumor study is used to illustrate the method.

Source: Biometrics

DOI: 10.1111/j.0006-341x.2003.00126.x

Authors: Ying Zhang, Mortaza Jamshidian

Institutions: University of Central Florida, California State University, Fullerton

Language: English

Topic: Statistical Methods and Inference

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2039690163

FWCI: 1.594

Cites: 21

Cited by: 28

Related to: 10