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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151454.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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110824s2011 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642104732 |
|
978-3-642-10473-2 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA276-280 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
519.5 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Puntanen, Simo. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Matrix Tricks for Linear Statistical Models |
Medium |
[electronic resource] : |
Remainder of title |
Our Personal Top Twenty / |
Statement of responsibility, etc |
by Simo Puntanen, George P. H. Styan, Jarkko Isotalo. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XX, 486p. 78 illus., 2 illus. in color. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Introduction -- Easy Column Space Tricks -- Easy Projector Tricks -- Easy Correlation Tricks -- Generalized Inverses in a Nutshell -- Rank of the Partitioned Matrix and the Matrix Product -- Rank Cancellation Rule -- Sum of Orthogonal Projector -- Minimizing cov(y - Fx) -- BLUE -- General Solution to AYB = C -- Invariance with Respect to the Choice of Generalized Inverse -- Block-Diagonalization and the Schur Complement -- Nonnegative Definiteness of a Partitioned Matrix -- The Matrix M -- Disjointness of Column Spaces -- Full Rank Decomposition -- Eigenvalue Decomposition -- Singular Value Decomposition -- The Cauchy-Schwarz Inequality -- Notation -- References -- Author Index -- Subject Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
In teaching linear statistical models to first-year graduate students or to final-year undergraduate students there is no way to proceed smoothly without matrices and related concepts of linear algebra; their use is really essential. Our experience is that making some particular matrix tricks very familiar to students can substantially increase their insight into linear statistical models (and also multivariate statistical analysis). In matrix algebra, there are handy, sometimes even very simple “tricks” which simplify and clarify the treatment of a problem—both for the student and for the professor. Of course, the concept of a trick is not uniquely defined—by a trick we simply mean here a useful important handy result. In this book we collect together our Top Twenty favourite matrix tricks for linear statistical models. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Statistics. |
|
Topical term or geographic name as entry element |
Mathematical statistics. |
|
Topical term or geographic name as entry element |
Statistics. |
|
Topical term or geographic name as entry element |
Statistical Theory and Methods. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Styan, George P. H. |
Relator term |
author. |
|
Personal name |
Isotalo, Jarkko. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642104725 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-10473-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |