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Multivariate Calculation: Use of the Continuous Groups (Springer Series in Statistics) by Roger H. Farrell is a nonfiction available to read on EtoBox.

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Like some of my colleagues, in my earlier years I found the multivariate Jacobian calculations horrible and unbelievable. As I listened and read during the years 1956 to 1974 I continually saw alternatives to the Jacobian and variable change method of computing probability density functions. Further, it was made clear by the work of A. T. James that computation of the density functions of the sets of roots of determinental equations required a method other than Jacobian calculations and that the densities could be calculated using differential forms on manifolds. It had become clear from the work ofC S. Herz and A. T. James that the expression of the noncentral multivariate density functions required integration with respect to Haar measures on locally compact groups. Material on manifolds and locally compact groups had not yet reached the pages of multivariate books of the time and also much material about multivariate computations existed only in the journal literature or in unpublished sets oflecture notes. In spirit, being more a mathematician than a statistician, the urge to write a book giving an integrated treatment of these topics found expression in 1974-1975 when I took a

Who reads Multivariate Calculation: Use of the Continuous Groups (Springer Series in Statistics)?

Author

Roger H. Farrell

Publisher

Springer New York

Published

2012

Language

EN

ISBN

9783540960492

Category

nonfiction

Subjects

Mathematics, Technology, Stem