Nonparametric Comparison for Multivariate Panel Count Data

Abstract

Multivariate panel count data often occur when there exist several related recurrent events or response variables defined by occurrences of related events. For univariate panel count data, several nonparametric treatment comparison procedures have been developed. However, it does not seem to exist a nonparametric procedure for multivariate cases. Based on differences between estimated mean functions, this article proposes a class of nonparametric test procedures for multivariate panel count data. The asymptotic distribution of the new test statistics is established and a simulation study is conducted. Moreover, the new procedures are applied to a skin cancer problem that motivated this study.

Keywords:

• Counting processes
• Medical follow-up study
• Nonparametric comparison
• Panel count data
• Skin cancer study

Mathematics Subject Classification:

• Primary 62G10
• Secondary 62N01