Skip to content
Register Sign in Wishlist
Statistical Modelling by Exponential Families

Statistical Modelling by Exponential Families

£79.99

Part of Institute of Mathematical Statistics Textbooks

  • Publication planned for: July 2019
  • availability: Not yet published - available from July 2019
  • format: Hardback
  • isbn: 9781108476591

£ 79.99
Hardback

Pre-order Add to wishlist

Other available formats:
Paperback


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book is a readable, digestible introduction to exponential families, encompassing statistical models based on the most useful distributions in statistical theory, including the normal, gamma, binomial, Poisson, and negative binomial. Strongly motivated by applications, it presents the essential theory and then demonstrates the theory's practical potential by connecting it with developments in areas like item response analysis, social network models, conditional independence and latent variable structures, and point process models. Extensions to incomplete data models and generalized linear models are also included. In addition, the author gives a concise account of the philosophy of Per Martin-Löf in order to connect statistical modelling with ideas in statistical physics, including Boltzmann's law. Written for graduate students and researchers with a background in basic statistical inference, the book includes a vast set of examples demonstrating models for applications and exercises embedded within the text as well as at the ends of chapters.

    • Expands and extends the theory and application of exponential families within one concise volume
    • Uses recurrent themes in examples and exercises to build familiarity with the models
    • Gives a concise account of the philosophy of Per Martin-Löf, connecting statistical modelling with ideas in statistical physics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Publication planned for: July 2019
    • format: Hardback
    • isbn: 9781108476591
    • dimensions: 228 x 152 mm
    • contains: 22 b/w illus. 100 exercises
    • availability: Not yet published - available from July 2019
  • Table of Contents

    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.

  • Author

    Rolf Sundberg, Stockholms Universitet
    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.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×