Ebook: Statistical Modelling: Proceedings of GLIM 89 and the 4th International Workshop on Statistical Modelling held in Trento, Italy, July 17–21, 1989

This volume constitutes the Proceedings of the joint meeting of GLIM89 and the 4th International Workshop on statistical Modelling, held in Trento, Italy, from 17 to 21 July 1989. The meeting aimed to bring together researchers interested in the development and application of generalized linear modelling in GLIM and those interested in statistical modelling in its widest sense. This joint meeting built upon the success of previous workshops held in Innsbruck, perugia and Vienna, and upon the two previous GLIM conferences , GLIM82 and GLIM85. The Proceedings of the latter two being available as numbers 14 and 32 in the springer Verlag series of Lecture Notes in Statistics). Much statistical modelling is carried out using GLIM, as is apparent from many of the papers in these Proceedings; however, the Programme Committee were also keen on encouraging papers which discussed more general modelling techniques. Thus about a third of the papers in this volume are outside the GLIM framework. The Programme Committee specifically requested non-theoretical papers in addition to considering theoretical contributions. Thus there are papers in a wide range of practical areas, such as radio spectral occupancy, comparison of birthweights, intervals between births, accidents of railway workers, genetics, demography, medical trials, the social sciences and insurance. A wide range of theoretical developments are discussed, for example, overdispersion, non-exponential family modelling, novel approaches to analysing contingency tables, random effects models, Kalman Filtering, model checking and extensions of Wedderburn's theoretical underpinning of GLMs.

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Content:
Front Matter....Pages I-IX
Introduction to the GLIM session of the GLIM 89 and 4th International Workshop on Statistical Modelling....Pages 1-5
Functional programming for GLMs....Pages 6-17
GLIM4 - structure and development....Pages 18-25
Generalised Linear Models and Some Extensions: Geometry and Algorithms....Pages 26-36
The GLIMPSE System....Pages 37-43
The Optional Graphics Command Extension to GLIM 3.77....Pages 44-55
SABRE: Software for the Analysis of Binary Recurrent Events....Pages 56-63
Score Tests in Overdispersed GLM’s....Pages 64-74
A Few Problems with Application of the Kalman Filter....Pages 75-83
Bootstrap Goodness-of-Link Testing in Generalized Linear Models....Pages 84-94
Estimation and Tests in a Quasi-likelihood Model with a Non-constant Dispersion Parameter....Pages 95-104
Fitting Non-Exponential Family Nonlinear Models in GLIM by Using the Offset-Facility....Pages 105-114
Graphical Modelling using MIM....Pages 115-126
Beta-Geometric Modelling of Birth Intervals Using GLIM....Pages 127-134
Polytomous Logistic Regression: Methods and Application....Pages 135-143
Models for Nested Binary and Ordinal Data....Pages 144-150
Extended Kalman Filtering for Nonnormal Longitudinal Data....Pages 151-156
Modelling Transition Probabilities in the Analysis of Aggregated Data....Pages 157-164
Generalisations of the Goodman Association Model for the Analysis of Multi-dimensional Contingency Tables....Pages 165-171
The Rasch Model, Some Extensions and their Relation to the Class of Generalized Linear Models....Pages 172-179
Threshold Models for Ordinal Data Involving Stratification....Pages 180-187
Analysis of symmetric cross-classifications....Pages 188-197
Markov Modelling for Extra-Binomial Variation in HF(Radio) Spectral Occupancy....Pages 198-205
Ill-conditioned Information Matrices and the Generalized Linear Model: an Asymptotically Biased Estimation Approach....Pages 206-213
Regression Models for Repeated Event Data: An Application to Accident Frequencies of Railway Workers....Pages 214-221
The Norm-P Estimation of Location, Scale and Simple Linear Regression Parameters....Pages 222-233
Computing Confidence Intervals in GLIM....Pages 234-241
Log-Linear Models in Genetics....Pages 242-249
Modelling Run-Off Data in General Insurance....Pages 250-261
Summarizing the Results of Fitting Generalized Linear Models to Data from Designed Experiments....Pages 262-269
Application of Truncated and Mixture Distributions to Comparisons of Birthweight....Pages 270-277
Non Symmetrical Logarithmic Analysis for Contingency Tables....Pages 278-285
GLM’s and Coefficient Ratios....Pages 286-292
Estimation of Break Point Parameters Using GLIM.....Pages 293-300
Latent budget analysis....Pages 301-313
The compactification of generalized linear models....Pages 314-327
Uses of Power Transformation in Generalized Linear Modeling....Pages 328-335
MIVA: An Alternative Method to Generalized Linear Models....Pages 336-343

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Content:
Front Matter....Pages I-IX
Introduction to the GLIM session of the GLIM 89 and 4th International Workshop on Statistical Modelling....Pages 1-5
Functional programming for GLMs....Pages 6-17
GLIM4 - structure and development....Pages 18-25
Generalised Linear Models and Some Extensions: Geometry and Algorithms....Pages 26-36
The GLIMPSE System....Pages 37-43
The Optional Graphics Command Extension to GLIM 3.77....Pages 44-55
SABRE: Software for the Analysis of Binary Recurrent Events....Pages 56-63
Score Tests in Overdispersed GLM’s....Pages 64-74
A Few Problems with Application of the Kalman Filter....Pages 75-83
Bootstrap Goodness-of-Link Testing in Generalized Linear Models....Pages 84-94
Estimation and Tests in a Quasi-likelihood Model with a Non-constant Dispersion Parameter....Pages 95-104
Fitting Non-Exponential Family Nonlinear Models in GLIM by Using the Offset-Facility....Pages 105-114
Graphical Modelling using MIM....Pages 115-126
Beta-Geometric Modelling of Birth Intervals Using GLIM....Pages 127-134
Polytomous Logistic Regression: Methods and Application....Pages 135-143
Models for Nested Binary and Ordinal Data....Pages 144-150
Extended Kalman Filtering for Nonnormal Longitudinal Data....Pages 151-156
Modelling Transition Probabilities in the Analysis of Aggregated Data....Pages 157-164
Generalisations of the Goodman Association Model for the Analysis of Multi-dimensional Contingency Tables....Pages 165-171
The Rasch Model, Some Extensions and their Relation to the Class of Generalized Linear Models....Pages 172-179
Threshold Models for Ordinal Data Involving Stratification....Pages 180-187
Analysis of symmetric cross-classifications....Pages 188-197
Markov Modelling for Extra-Binomial Variation in HF(Radio) Spectral Occupancy....Pages 198-205
Ill-conditioned Information Matrices and the Generalized Linear Model: an Asymptotically Biased Estimation Approach....Pages 206-213
Regression Models for Repeated Event Data: An Application to Accident Frequencies of Railway Workers....Pages 214-221
The Norm-P Estimation of Location, Scale and Simple Linear Regression Parameters....Pages 222-233
Computing Confidence Intervals in GLIM....Pages 234-241
Log-Linear Models in Genetics....Pages 242-249
Modelling Run-Off Data in General Insurance....Pages 250-261
Summarizing the Results of Fitting Generalized Linear Models to Data from Designed Experiments....Pages 262-269
Application of Truncated and Mixture Distributions to Comparisons of Birthweight....Pages 270-277
Non Symmetrical Logarithmic Analysis for Contingency Tables....Pages 278-285
GLM’s and Coefficient Ratios....Pages 286-292
Estimation of Break Point Parameters Using GLIM.....Pages 293-300
Latent budget analysis....Pages 301-313
The compactification of generalized linear models....Pages 314-327
Uses of Power Transformation in Generalized Linear Modeling....Pages 328-335
MIVA: An Alternative Method to Generalized Linear Models....Pages 336-343
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