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Field name	Details
Dewey Class	519.2
Title	Multivariate Statistical Modelling Based on Generalized Linear Models ([EBook] /) / by Ludwig Fahrmeir, Gerhard Tutz.
Author	Fahrmeir, Ludwig
Added Personal Name	Tutz, Gerhard author.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 1994.
Physical Details	XXIV, 426 p. 9 illus. : online resource.
Series	Springer Series in Statistics 0172-7397
ISBN	9781489900104
Summary Note	Classical statistical models for regression, time series and longitudinal data provide well-established tools for approximately normally distributed vari ables. Enhanced by the availability of software packages these models dom inated the field of applications for a long time. With the introduction of generalized linear models (GLM) a much more flexible instrument for sta tistical modelling has been created. The broad class of GLM's includes some of the classicallinear models as special cases but is particularly suited for categorical discrete or nonnegative responses. The last decade has seen various extensions of GLM's: multivariate and multicategorical models have been considered, longitudinal data analysis has been developed in this setting, random effects and nonparametric pre dictors have been included. These extended methods have grown around generalized linear models but often are no longer GLM's in the original sense. The aim of this book is to bring together and review a large part of these recent advances in statistical modelling. Although the continuous case is sketched sometimes, thoughout the book the focus is on categorical data. The book deals with regression analysis in a wider sense including not only cross-sectional analysis but also time series and longitudinal data situations. We do not consider problems of symmetrical nature, like the investigation of the association structure in a given set of variables. For example, log-linear models for contingency tables, which can be treated as special cases of GLM's are totally omitted. The estimation approach that is primarily considered in this book is likelihood-based.:
Contents note	1 Introduction -- 2 Modelling and analysis of cross-sectional data: a review of univariate generalized linear models -- 3 Models for multicategorical responses: multivariate extensions of generalized linear models -- 4 Selecting and checking models -- 5 Semi— and nonparametric approaches to regression analysis -- 6 Fixed parameter models for time series and longitudinal data -- 7 Random effects models -- 8 State space models -- 9 Survival models -- Appendix A -- A.1 Exponential families and generalized linear models -- A.2 Basic ideas for asymptotics -- A.3 EM—algorithm -- A.4 Numerical integration -- A.5 Monte Carlo methods -- Appendix B Software for fitting generalized linear models -- References -- Author Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4899-0010-4
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Fahrmeir, Ludwig . Tutz, Gerhard . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in Statistics . Classification: 519.2 .

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Multivariate Statistical Modelling Based on Generalized Linear Models

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