Statistical Modelling by Exponential Families
(Part of the Institute of Mathematical Statistics Textbooks Series)
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Book Overview
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-L f 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.
Format:Hardcover
Language:English
ISBN:1108476597
ISBN13:9781108476591
Release Date:October 2019
Publisher:Cambridge University Press
Length:296 Pages
Weight:1.23 lbs.
Dimensions:9.3" x 0.8" x 6.3"
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