Exponential Families in Theory and Practice

Exponential Families in Theory and Practice
Author: Bradley Efron
Publisher: Cambridge University Press
Total Pages: 264
Release: 2022-12-15
Genre: Mathematics
ISBN: 1108805434


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During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been matched, and more than matched, in the world of applications, where logistic regression by itself has become the go-to methodology in medical statistics, computer-based prediction algorithms, and the social sciences. This book is based on a one-semester graduate course for first year Ph.D. and advanced master's students. After presenting the basic structure of univariate and multivariate exponential families, their application to generalized linear models including logistic and Poisson regression is described in detail, emphasizing geometrical ideas, computational practice, and the analogy with ordinary linear regression. Connections are made with a variety of current statistical methodologies: missing data, survival analysis and proportional hazards, false discovery rates, bootstrapping, and empirical Bayes analysis. The book connects exponential family theory with its applications in a way that doesn't require advanced mathematical preparation.


Exponential Families in Theory and Practice
Language: en
Pages: 264
Authors: Bradley Efron
Categories: Mathematics
Type: BOOK - Published: 2022-12-15 - Publisher: Cambridge University Press

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During the past half-century, exponential families have attained a position at the center of parametric statistical inference. Theoretical advances have been ma
Exponential Families in Theory and Practice
Language: en
Pages: 263
Authors: Bradley Efron
Categories: Computers
Type: BOOK - Published: 2022-12-15 - Publisher: Cambridge University Press

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This accessible course on a central player in modern statistical practice connects models with methodology, without need for advanced math.
Information and Exponential Families
Language: en
Pages: 248
Authors: O. Barndorff-Nielsen
Categories: Mathematics
Type: BOOK - Published: 2014-05-07 - Publisher: John Wiley & Sons

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First published by Wiley in 1978, this book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as
Fundamentals of Statistical Exponential Families
Language: en
Pages: 302
Authors: Lawrence D. Brown
Categories: Business & Economics
Type: BOOK - Published: 1986 - Publisher: IMS

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Exponential families
Language: da
Pages:
Authors: Ole Barndorff- Nielsen
Categories: Exponential functions
Type: BOOK - Published: 1970 - Publisher:

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