Linear Models
Least Squares and Alternatives
(Sprache: Englisch)
An up-to-date account of the theory and applications of linear models, for use as a textbook in statistics at graduate level as well as an accompanying text for other courses in which linear models play a part. The authors present a unified theory of...
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An up-to-date account of the theory and applications of linear models, for use as a textbook in statistics at graduate level as well as an accompanying text for other courses in which linear models play a part. The authors present a unified theory of inference from linear models with minimal as sumptions, not only through least squares theory, but also using alternative methods of estimation and testing based on convex loss functions and general estimating equations. Highlights include: - a special emphasis on sensitivity analysis and model selecti on; - a chapter devoted to the analysis of categorical data based on logic, loglinear, and logistic regression models; - a chapter devoted to incomplete data sets; - an extensive appendix on matrix theory; - a chapter devoted to the analysis of categorical data based on a unified presentation of generalized linear models including GEE-methods for correlated response; - a cha pter devoted to incomplete data sets including regression diagnostics to identify Non-MCAR-processes. The material covered is thus invaluable not only to graduates, but also to researchers and consultants in statistics.
Inhaltsverzeichnis zu „Linear Models “
Contents:Introduction
Linear Models
The Linear Regression Model. The Generalized Linear Regression Model
Exact and Stochastic Linear Restrictions
Prediction Problems in the Generalized Regression Model
Sensitivity Analysis. Analysis of Incomplete Data Sets
Robust Regression. Models for Categorical Response Variables
Autoren-Porträt von C. R. Rao, Helge Toutenburg
Helge Toutenburg studierte (1961-1966) und promovierte (1969) in Berlin, habilitierte in Dortmund (1989). Er ist seit 1991 Professor für Statistik an der Ludwig-Maximilians-Universität München.
Bibliographische Angaben
- Autoren: C. R. Rao , Helge Toutenburg
- 1999, 2nd ed., 352 Seiten, 33 Abbildungen, Maße: 24 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387988483
- ISBN-13: 9780387988481
Sprache:
Englisch
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