Exponential Families In Theory And Practice

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Exponential Families In Theory And Practice

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Author : Bradley Efron
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-15

Exponential Families In Theory And Practice written by Bradley Efron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.

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

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Author : Bradley Efron
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-15

Exponential Families In Theory And Practice written by Bradley Efron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Computers categories.

This accessible course on a central player in modern statistical practice connects models with methodology, without need for advanced math.

Information And Exponential Families

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Author : Ole E. Barndorff-Nielsen
language : en
Publisher:
Release Date : 1978

Information And Exponential Families written by Ole E. Barndorff-Nielsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Distribution (Probability theory) categories.

Exponential Families

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Author : Ole E. Barndorff-Nielsen
language : en
Publisher:
Release Date : 1980

Exponential Families written by Ole E. Barndorff-Nielsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Distribution (Probability theory) categories.

Statistical Modelling By Exponential Families

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Author : Rolf Sundberg
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-29

Statistical Modelling By Exponential Families written by Rolf Sundberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-29 with Business & Economics categories.

A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.

Fundamentals Of Statistical Exponential Families

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Author : Lawrence D. Brown
language : en
Publisher: IMS
Release Date : 1986

Fundamentals Of Statistical Exponential Families written by Lawrence D. Brown and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Business & Economics categories.

Fundamentals Of Statistical Exponential Families

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Author : Lawrence D. Brown
language : en
Publisher:
Release Date : 2008*

Fundamentals Of Statistical Exponential Families written by Lawrence D. Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008* with Exponential families (Statistics) categories.

This e-book is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press.

Graphical Models Exponential Families And Variational Inference

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Author : Martin J. Wainwright
language : en
Publisher: Now Publishers Inc
Release Date : 2008

Graphical Models Exponential Families And Variational Inference written by Martin J. Wainwright and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.

The core of this paper is a general set of variational principles for the problems of computing marginal probabilities and modes, applicable to multivariate statistical models in the exponential family.

Essentials Of Statistical Inference

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Author : G. A. Young
language : en
Publisher: Cambridge University Press
Release Date : 2005-07-25

Essentials Of Statistical Inference written by G. A. Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-25 with Mathematics categories.

Aimed at advanced undergraduates and graduate students in mathematics and related disciplines, this engaging textbook gives a concise account of the main approaches to inference, with particular emphasis on the contrasts between them. It is the first textbook to synthesize contemporary material on computational topics with basic mathematical theory.

Multivariate Exponential Families A Concise Guide To Statistical Inference

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Author : Stefan Bedbur
language : en
Publisher: Springer Nature
Release Date : 2021-10-07

Multivariate Exponential Families A Concise Guide To Statistical Inference written by Stefan Bedbur and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-07 with Mathematics categories.

This book provides a concise introduction to exponential families. Parametric families of probability distributions and their properties are extensively studied in the literature on statistical modeling and inference. Exponential families of distributions comprise density functions of a particular form, which enables general assertions and leads to nice features. With a focus on parameter estimation and hypotheses testing, the text introduces the reader to distributional and statistical properties of multivariate and multiparameter exponential families along with a variety of detailed examples. The material is widely self-contained and written in a mathematical setting. It may serve both as a concise, mathematically rigorous course on exponential families in a systematic structure and as an introduction to Mathematical Statistics restricted to the use of exponential families.