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Theory of Multivariate Statistics

Theory of Multivariate Statistics
Catalogue Information
Field name Details
Dewey Class 519.2
Title Theory of Multivariate Statistics ([EBook] /) / by Martin Bilodeau, David Brenner.
Author Bilodeau, Martin
Added Personal Name Brenner, David author.
Other name(s) SpringerLink (Online service)
Publication New York, NY : : Springer New York, , 1999.
Physical Details XVIII, 290 p. : online resource.
Series Springer Texts in Statistics 1431-875X
ISBN 9780387226163
Summary Note Our object in writing this book is to present the main results of the modern theory of multivariate statistics to an audience of advanced students who would appreciate a concise and mathematically rigorous treatment of that material. It is intended for use as a textbook by students taking a first graduate course in the subject, as well as for the general reference of interested research workers who will find, in a readable form, developments from recently published work on certain broad topics not otherwise easily accessible, as for instance robust inference (using adjusted likelihood ratio tests) and the use of the bootstrap in a multivariate setting. A minimum background expected of the reader would include at least two courses in mathematical statistics, and certainly some exposure to the calculus of several variables together with the descriptive geometry of linear algebra.:
Contents note Linear algebra -- Random vectors -- Gamma, Dirichlet, and F distributions -- Invariance -- Multivariate normal -- Multivariate sampling -- Wishart distributions -- Tests on mean and variance -- Multivariate regression -- Principal components -- Canonical correlations -- Asymptotic expansions -- Robustness -- Bootstrap confidence regions and tests.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/b97615
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