Matrix Tricks for Linear Statistical Models (Record no. 106725)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03025nam a22004335i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-10473-2 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083741.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110824s2011 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642104732 |
| -- | 978-3-642-10473-2 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-10473-2 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA276-280 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBT |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT029000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.5 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Puntanen, Simo. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| 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. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XX, 486p. 78 illus., 2 illus. in color. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical statistics. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Statistics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| 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. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| 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 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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