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Non‐parametric Tests for the Comparison of Point Processes Based on Incomplete Data
Author(s) -
Sun Jianguo,
Rai Shesh N.
Publication year - 2001
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.00265
Subject(s) - mathematics , parametric statistics , class (philosophy) , statistical hypothesis testing , point (geometry) , statistics , parametric model , computer science , artificial intelligence , geometry
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.