Title

The Gamma-Frailty Poisson Model For The Nonparametric Estimation Of Panel Count Data

Keywords

EM algorithm; Isotonic regression; Iterative convex minorant algorithm; Monte-Carlo; Nonparametric maximum pseudo-likelihood estimator

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.

Publication Date

12-1-2003

Publication Title

Biometrics

Volume

59

Issue

4

Number of Pages

1099-1106

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1111/j.0006-341X.2003.00126.x

Socpus ID

0346733294 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0346733294

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