New multi-sample nonparametric tests for panel count data

N. Balakrishnan, Xingqiu Zhao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)

Abstract

This paper considers the problem of multi-sample nonparametric comparison of counting processes with panel count data, which arise naturally when recurrent events are considered. Such data frequently occur in medical follow-up studies and reliability experiments, for example. For the problem considered, we construct two new classes of nonparametric test statistics based on the accumulated weighted differences between the rates of increase of the estimated mean functions of the counting processes over observation times, wherein the nonparametric maximum likelihood approach is used to estimate the mean function instead of the nonparametric maximum pseudolikelihood. The asymptotic distributions of the proposed statistics are derived and their finite-sample properties are examined through Monte Carlo simulations. The simulation results show that the proposed methods work quite well and are more powerful than the existing test procedures. Two real data sets are analyzed and presented as illustrative examples.
Original languageEnglish
Pages (from-to)1112-1149
Number of pages38
JournalAnnals of Statistics
Volume37
Issue number3
DOIs
Publication statusPublished - 1 Jun 2009

Keywords

  • Counting processes
  • Medical follow-up study
  • Nonparametric comparison
  • Nonparametric maximum likelihood
  • Nonparametric maximum pseudo-likelihood
  • Panel count data

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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