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A Class of Efficient Non‐parametric K‐sample Tests for Multivariate Counting Processes with Frailties

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  • I‐Shou Chang
  • Li‐Ru Chen
  • Chao Hsiung

Abstract

AK‐sample testing problem is studied for multivariate counting processes with time‐dependent frailty. Asymptotic distributions and efficiency of a class of non‐parametric test statistics are established for certain local alternatives. The concept of efficiency is to show that for every non‐parametric test in this class, there is a parametric submodel for which the optimal test has the same asymptotic power as the non‐parametric one. The theory is applied to analyse a diabetic retinopathy study data set. A simulation study is also presented to illustrate the theory

Suggested Citation

  • I‐Shou Chang & Li‐Ru Chen & Chao Hsiung, 1998. "A Class of Efficient Non‐parametric K‐sample Tests for Multivariate Counting Processes with Frailties," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 25(1), pages 127-141, March.
    • Handle: RePEc:bla:scjsta:v:25:y:1998:i:1:p:127-141
    DOI: 10.1111/1467-9469.00093
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