Methods examine Edgeworth expansions and perturbation approximations in multivariate statistics, indicating their applicability for various analyses.
Methods are discussed for producing Edgeworth expansions, and the validity of the expansions is examined. Algorithms for perturbation approximations in multivariate statistics are presented, in general and for the cases of principal components, canonical analysis and discriminant analysis. The algorithms are suitable for implementation in a system of computerized algebra.
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John M. Chambers (1967) studied this question.
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