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Peter J. Brockwell Paul W. Mielke Jr. John Robinson 《Australian & New Zealand Journal of Statistics》1982,24(1):33-41
A non-normal invariance principle is established for a restricted class of univariate multi-response permutation procedures whose distance measure is the square of Euclidean distance. For observations from a distribution with finite second moment, the test statistic is found asymptotically to have a centered chi-squared distribution. Spectral expansions are used to determine the asymptotic distribution for more general distance measures d, and it is shown that if d(x, y) = |x — y|u, u? 2, the asymptotic distribution is not invariant (i.e. it is dependent on the distribution of the observations). 相似文献
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Peter J. Brockwell Paul W. Mielke Jr 《Australian & New Zealand Journal of Statistics》1984,26(1):30-38
A technique for deriving asymptotic distributions of matched-pairs permutation statistics based on distance measures is discussed and applied to four specific examples recently considered by Mielke & Berry (1982). 相似文献
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