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Titlebook: Advances in Multivariate Statistical Analysis; Pillai Memorial Volu A. K. Gupta Book 1987 Springer Science+Business Media Dordrecht 1987 Es

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Aqsa Bashir,Alfred Geroldinger,Qinghai Zhongarticularly in the area of multiple time series. For some discussion about the applications of the complex multivariate distributions in the area of multiple time series, the reader is referred to Goodman and Dubman (1969), Brillinger (1969), Hannan (1970), Wahba (1968, 1971), Priestley, Subha Rao and Tong (1973) and Krishnaiah (1976).
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https://doi.org/10.1007/978-1-4615-6666-3be done by calculus methods. However, if the arguments of the quadratic form are itself matrices, this method becomes very cumbersome and requires a lot of indices. Therefore another method, the use of quasiinner products is more often used in statistical literature. An example is the forthcoming mo
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https://doi.org/10.1007/978-1-4615-6666-3mption. If a test for equality of the covariance matrices suggests that this assumption does not hold, the usual reaction is to estimate the covariance matrices individually in each group. For k populations and p variables this means that the number of parameters estimated increases by (k−1)p(p−1)/2
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Geometries for the mathieu group M12,r example, in the area of principal component analysis, it is of interest to find out whether the new variables contribute to explanation of the variation among experimental units. In the area of multi-group discriminant analysis, it is important to find out whether the addition of new variables con
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https://doi.org/10.1007/978-3-642-59101-3ations. Nonnull moments have been obtained using a simple and shortcut method. The null density has been derived using inverse Mellin transform and the calculus of residues. The nonnull density is given in a series involving zonal polynomials and generalized hypergeometric functions.
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