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Non‐parametric Tests for the Comparison of Point Processes Based on Incomplete Data

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  • Jianguo Sun
  • Shesh N. Rai

Abstract

We consider the comparison of point processes in a discrete observation situation in which each subject is observed only at discrete time points and no history information between observation times is available. A class of non‐parametric test statistics for the comparison of point processes based on this kind of data is presented and their asymptotic distributions are derived. The proposed tests are generalizations of the corresponding tests for continuous observations. Some results from a simulation study for evaluating the proposed tests are presented and an illustrative example from a clinical trial is discussed.

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  • Jianguo Sun & Shesh N. Rai, 2001. "Non‐parametric Tests for the Comparison of Point Processes Based on Incomplete Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(4), pages 725-732, December.
    • Handle: RePEc:bla:scjsta:v:28:y:2001:i:4:p:725-732
    DOI: 10.1111/1467-9469.00265
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    Cited by:

    1. Xingqiu Zhao & N. Balakrishnan & Jianguo Sun, 2011. "Nonparametric inference based on panel count data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(1), pages 1-42, May.
    2. D. B. Dunson & C. Holloman & C. Calder & L. H. Gunn, 2004. "Bayesian Modeling of Multiple Lesion Onset and Growth from Interval-Censored Data," Biometrics, The International Biometric Society, vol. 60(3), pages 676-683, September.

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