TY  - BOOK
AU  - Puntanen,Simo
AU  - Styan,George Peter Hansbenno
AU  - Isotalo,Jarkko
TI  - Matrix tricks for linear statistical models: our personal top twenty 
SN  - 9783642104725 (hbk.)
AV  - QA276 .P83 2011
U1  - 519.535 22
PY  - 2011///
CY  - Berlin, New York
PB  - Springer
KW  - Linear models (Statistics)
KW  - Matrix analytic methods
N1  - Includes bibliographical references (p. 439-468) and indexes; 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 projectors --
A decomposition of the 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 Ṁ --
Disjointness of column spaces --
Full rank decomposition --
Eigenvalue decomposition --
Singular value decomposition --
The Cauchy-Schwarz inequality --
Notation --
List of figures and philatelic items; AS
N2  - Summary:
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  Read more

UR  - http://www.worldcat.org/title/matrix-tricks-for-linear-statistical-models-our-personal-top-twenty/oclc/559855740?referer=br&ht=edition
UR  - http://lib.ewubd.edu/ebook/7837
ER  -