Rolf Sundberg is Professor Emeritus of Statistical Science at Stockholms Universitet. His work embraces both theoretical and applied statistics, including principles of statistics, exponential families, regression, chemometrics, stereology, survey sampling inference, molecular biology, and paleoclimatology. In 2003, with M. Linder, he won the award for best theoretical paper in the Journal of Chemometrics for their work on multivariate calibration, and in 2017 he was named Statistician of the Year by the Swedish Statistical Society.
Inhaltsangabe
1. What is an exponential family? 2. Examples of exponential families 3. Regularity conditions and basic properties 4. Asymptotic properties of the MLE 5. Testing model-reducing hypotheses 6. Boltzmann's law in statistics 7. Curved exponential families 8. Extension to incomplete data 9. Generalized linear models 10. Graphical models for conditional independence structures 11. Exponential family models for social networks 12. Rasch models for item response and related models 13. Models for processes in space or time 14. More modelling exercises Appendix A. Statistical concepts and principles Appendix B. Useful mathematics.
1. What is an exponential family? 2. Examples of exponential families 3. Regularity conditions and basic properties 4. Asymptotic properties of the MLE 5. Testing model-reducing hypotheses 6. Boltzmann's law in statistics 7. Curved exponential families 8. Extension to incomplete data 9. Generalized linear models 10. Graphical models for conditional independence structures 11. Exponential family models for social networks 12. Rasch models for item response and related models 13. Models for processes in space or time 14. More modelling exercises Appendix A. Statistical concepts and principles Appendix B. Useful mathematics.
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