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Statistical modelling by exponential families / Rolf Sundberg
(Institute of Mathematical Statistics textbooks ; 12)

Publisher (Cambridge : Cambridge University Press)
Year 2019
Authors *Sundberg, Rolf 1942- author

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OB00194648 Cambridge Core (電子ブック) 9781108604574

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Material Type E-Book
Media type 機械可読データファイル
Size 1 online resource (xiv, 282 pages) : digital, PDF file(s)
Notes Title from publisher's bibliographic system (viewed on 17 Jul 2019)
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
HTTP:URL=https://doi.org/10.1017/9781108604574
Subjects LCSH:Exponential families (Statistics) -- Problems, exercises, etc  All Subject Search
LCSH:Distribution (Probability theory) -- Problems, exercises, etc  All Subject Search
Classification LCC:QA276.7
DC23:519.5
ID 8000093796
ISBN 9781108604574

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