Matrix tricks for linear statistical models : our personal top twenty
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 f...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2011.
Cham : Springer Nature |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Matrix Tricks for Linear Statistical Models, Texte imprimé, 9783642104725 • Matrix Tricks for Linear Statistical Models, Texte imprimé, 9783642104749 • Matrix Tricks for Linear Statistical Models, Texte imprimé, 9783642447594 |
| LEADER | 03691nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | 973483 | ||
| 008 | 111115s2011 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN156314789 | ||
| 020 | |a 9783642104732 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.5 | ||
| 084 | |a 62-01. 2010 | ||
| 084 | |a 62A01. 2010 | ||
| 084 | |a 15B99. 2010 | ||
| 100 | 1 | |a Puntanen, Simo. | |
| 245 | 1 | 0 | |a Matrix tricks for linear statistical models : |b our personal top twenty |c by Simo Puntanen, George P. H. Styan, Jarkko Isotalo. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2011. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 700 | 1 | |a Styan, George P. H. |4 aut | |
| 700 | 1 | |a Isotalo, Jarkko. |4 aut | |
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |t Matrix Tricks for Linear Statistical Models |b Texte imprimé |z 9783642104725 | |
| 776 | 0 | |t Matrix Tricks for Linear Statistical Models |b Texte imprimé |z 9783642104749 | |
| 776 | 0 | |t Matrix Tricks for Linear Statistical Models |b Texte imprimé |z 9783642447594 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-10473-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3F0K9P94-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750612061 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-10473-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753971143 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-10473-2 |z Accès INSA CVL | |
| 997 | |0 973483 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||