Rolf Sundberg

Statistical Modelling by Exponential Families

• Gebundenes Buch

Produktbeschreibung

A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 298
• Erscheinungstermin: 29. August 2019
• Englisch
• Abmessung: 235mm x 157mm x 21mm
• Gewicht: 585g
• ISBN-13: 9781108476591
• ISBN-10: 1108476597
• Artikelnr.: 55387735

Autorenporträt

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.