Linear Models and Generalizations : Least Squares and Alternatives

Thebookisbasedonseveralyearsofexperienceofbothauthorsinteaching linear models at various levels. It gives an up-to-date account of the theory and applications of linear models. The book can be used as a text for courses in statistics at the graduate level and as an accompanying text for courses in o...

Descripció completa

Guardat en:
Dades bibliogràfiques
Autors principals: Rao, Calyampudi Radhakrishna, 1920-2023, mathématicien, Toutenburg, Helge (Autor), Heumann, Christian (Autor), Shalabh (Autor)
Altres autors: Schomaker, Michael (Col·laborador)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:Version électronique de la troisième édition augmentée.
Col·lecció:Springer Series in Statistics
Matèries:
Accés en línia:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: L'impression du document génère 582 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Linear Models and Generalizations, Texte imprimé, 9783540842224
• Linear models and generalizations, least squares and alternatives, C. Radhakrishna Rao ... [et al.], Third extended edition, 2008, Berlin, Springer, 1 vol. (XIX-570 p.), Springer series in statistics, 3-540-74226-3
• Linear models and generalizations, least squares and alternatives, C. Radhakrishna Rao ... [et al.], Third extended edition, 2008, Berlin, Springer, 1 vol. (XIX-570 p.), Springer series in statistics, 3-540-74226-3
Descripció
Sumari:Thebookisbasedonseveralyearsofexperienceofbothauthorsinteaching linear models at various levels. It gives an up-to-date account of the theory and applications of linear models. The book can be used as a text for courses in statistics at the graduate level and as an accompanying text for courses in other areas. Some of the highlights in this book are as follows. A relatively extensive chapter on matrix theory (Appendix A) provides the necessary tools for proving theorems discussed in the text and o?ers a selectionofclassicalandmodernalgebraicresultsthatareusefulinresearch work in econometrics, engineering, and optimization theory. The matrix theory of the last ten years has produced a series of fundamental results aboutthe de?niteness ofmatrices,especially forthe di?erences ofmatrices, which enable superiority comparisons of two biased estimates to be made for the ?rst time. We have attempted to provide a uni?ed theory of inference from linear models with minimal assumptions. Besides the usual least-squares theory, alternative methods of estimation and testing based on convex loss fu- tions and general estimating equations are discussed. Special emphasis is given to sensitivity analysis and model selection. A special chapter is devoted to the analysis of categorical data based on logit, loglinear, and logistic regression models. The material covered, theoretical discussion, and a variety of practical applications will be useful not only to students but also to researchers and consultants in statistics
Descripció de l’ítem:L'impression du document génère 582 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783540742272
ISSN:2197-568X
Accés:Accès en ligne pour les établissements français bénéficiaires des licences nationales
Accès soumis à abonnement pour tout autre établissement
Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017