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Theory of Multivariate Statistics
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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
Links to Related Works
Subject References:
Mathematics
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Probabilities
.
Probability theory and stochastic processes
.
Statistical Theory and Methods
.
Statistics
.
Authors:
Bilodeau, Martin
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Brenner, David
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer Texts in Statistics
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Classification:
519.2
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