Description: 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-Loef 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.
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EAN: 9781108476591
UPC: 9781108476591
ISBN: 9781108476591
MPN: N/A
Item Length: 23.5 cm
Number of Pages: 296 Pages
Language: English
Publication Name: Statistical Modelling by Exponential Families
Publisher: Cambridge University Press
Publication Year: 2019
Subject: Mathematics
Item Height: 235 mm
Item Weight: 560 g
Type: Textbook
Author: Rolf Sundberg
Item Width: 157 mm
Format: Hardcover