Title

The gamma-frailty Poisson model for the nonparametric estimation of panel count data

Authors

Authors

Y. Zhang;M. Jamshidian

Comments

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Abbreviated Journal Title

Biometrics

Keywords

iterative convex minorant algorithm; EM algorithm; isotonic regression; Monte-Carlo; nonparametric maximum pseudo-likelihood estimator; REGRESSION-ANALYSIS; Biology; Mathematical & Computational Biology; Statistics & Probability

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.

Journal Title

Biometrics

Volume

59

Issue/Number

4

Publication Date

1-1-2003

Document Type

Article

Language

English

First Page

1099

Last Page

1106

WOS Identifier

WOS:000187501100040

ISSN

0006-341X

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