Asymptotic behavior of multi-response permutation procedures

Authors:
Manfred Denker;Madan L Puri
Affiliations:
Georg-August Universität, Göttingen, West Germany;Indiana University, Bloomington, Indiana, U.S.A.
Venue:
Advances in Applied Mathematics
Year:
1988

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Abstract

For a class of statistics used for multi-response permutation procedures, a weak invariance principle in D[0, 1]^p is established. In certain cases, the limiting process is shown to be the sum of squares of independent standard Wiener processes, independent of the underlying distribution function.