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On Iterated Tests of Hypotheses
Chandan K. Mustafi
Journal of the American Statistical Association
Vol. 62, No. 318 (Jun., 1967), pp. 520-524
Stable URL: http://www.jstor.org/stable/2283979
Page Count: 5
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The problem of iterated tests of hypotheses has been treated from the standpoint of multiple decision theory. Under the assumption that there is a UMP test (not necessarily similar) for each component hypothesis, a procedure has been developed which ensures an upper bound for various probabilities of misclassification and which maximizes the probabilities of correct classification in some class.
Journal of the American Statistical Association © 1967 American Statistical Association