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

    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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