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Biometrika 1976 63(3):661-670; doi:10.1093/biomet/63.3.661
© 1976 by Biometrika Trust
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Statistical distributions in univariate and multivariate Edgeworth populations

A. W. DAVIS

G.S.I.R.O. Division of Mathematics and Statistics Adelaide

A general method is presented for the formal construction of statistical distributions in univariate and multivariate populations, when the underlying distributions are specifiable by Edgeworth-type expansions. It is shown that the distribution of a statistic may be derived in principle from the appropriate normal-theory noncentral distribution, by means of a symbolic expectation operator. This provides a unified approach to the results of numerous investigations into the effects of nonnormality on various well-known statistics.

Key Words: Gram-Charlier type A series • Multivariate statistics • Noncentral distribution • Nonnormal distribution


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