A semiparametric pseudolikelihood estimation method for panel count data

    Authors

    Y. Zhang

    Comments

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    Abbreviated Journal Title

    Biometrika

    Keywords

    bootstrap; consistency; counting process; empirical process; iterative; algorithm; Monte Carlo; panel count data; profile likelihood; semiparametric maximum pseudolikelihood estimator; REGRESSION-ANALYSIS; RECURRENT EVENTS; Biology; Mathematical & Computational Biology; Statistics & Probability

    Abstract

    In this paper, we study panel count data with covariates. A semiparametric pseudolikelihood estimation method is proposed based on the assumption that, given a covariate vector Z, the underlying counting process is a nonhomogeneous Poisson process with the conditional mean function given by E(N(t) \ Z) = Lambda(0)(t) exp(beta(0)'Z). The proposed estimation method is shown to be robust in the sense that the estimator converges to its true value regardless of whether or not N(t) is a conditional Poisson process, given Z. An iterative numerical algorithm is devised to compute the semiparametric maximum pseudolikelihood estimator of (beta(0), Lambda(0)). The algorithm appears to be attractive, especially when beta(0) is a high-dimensional regression parameter. Some simulation studies are conducted to validate the method. Finally, the method is applied to a real dataset from a bladder tumour study.

    Journal Title

    Biometrika

    Volume

    89

    Issue/Number

    1

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    39

    Last Page

    48

    WOS Identifier

    WOS:000174685600003

    ISSN

    0006-3444

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