Linear Algebra and Linear Models

• Κύριος συγγραφέας: Bapat, R.B (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2012.
• Έκδοση: 3rd ed. 2012.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Statistics.; Linear and Multilinear Algebras, Matrix Theory.; Statistical Theory and Methods.; Statistics for Business/Economics/Mathematical Finance/Insurance.

Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariat...

Πίνακας περιεχομένων:

• Vector Spaces and Subspaces
• Rank, Inner Product and Nonsingularity
• Eigenvalues and Positive Definite Matrices
• Generalized Inverses
• Inequalities for Eigenvalues and Singular Values
• Rank Additivity and Matrix Partial Orders
• Linear Estimation
• Tests of Linear Hypotheses
• Linear Mixed Models
• Miscellaneous Topics
• Additional Exercises on Rank.