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The Equivalence of Asymptotic Distributions under Randomisation and Normal Theories

Published online by Cambridge University Press:  18 May 2009

Samuel D. Silvey
Affiliation:
University of Glasgow
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§ 1. Introduction. A problem of some interest in mathematical statistics is that of determining conditions under which the randomisation distribution of a statistic and its normal theory distribution are asymptotically equivalent, as these two distributions are used in alternative approaches to the same inference problem.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1953

References

REFERENCES

(1)Hotelling, H., and Pabst, M. R., “Rank correlation and tests of significance involving no assumptions of normality,” Ann. Math. Stats., 7 (1936).Google Scholar
(2)Kendall, M. G., Advanced Theory of Statistics (3rd ed., London, 1947), p. 56.Google Scholar
(3)Madow, W. G., “On the limiting distribution of estimates based on samples from finite universes,” Ann. Math. Stats., 19, 4 (1948).Google Scholar
(4)Noether, G. E., “On a theorem of Wald and Wolfowitz,” Ann. Math. Stats., 20, 3 (1949).CrossRefGoogle Scholar
(5)Wald, A., and Wolfowitz, J., “Statistical tests based on permutations of the observations,” Ann. Math. Stats., 15, 4 (1944).Google Scholar