Multivariate Calculation by Rh Farrell

Multivariate Calculation by Rh Farrell

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Summary

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books of the time and also much material about multivariate computations existed only in the journal literature or in unpublished sets oflecture notes.

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Multivariate Calculation by Rh Farrell

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books of the time and also much material about multivariate computations existed only in the journal literature or in unpublished sets oflecture notes.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 one year medical leave of absence from Cornell University. During this period I wrote Techniques of Multivariate Calculation. Writing a coherent treatment of the various methods made obvious re­ quired background material.
SKU Unavailable
ISBN 13 9781461385301
ISBN 10 146138530X
Title Multivariate Calculation
Author Rh Farrell
Series Springer Series In Statistics
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2011-10-21
Number of pages 376
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable