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Tests of the Overall Hypothesis for Arbitrary Dependence Structures
Author(s) -
Hommel G.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250502
Subject(s) - mathematics , intersection (aeronautics) , statistical hypothesis testing , statistics , combinatorics , engineering , aerospace engineering
Three different methods for testing an overall hypothesis which is the intersection of n elementary hypotheses are proposed and discussed. Admitted are arbitrary dependences among the tests; for each method sharp upper bounds for the error probability are obtained.