Statistical Modelling By Exponential Families


Statistical Modelling By Exponential Families
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Statistical Modelling By Exponential Families


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.



Multivariate Exponential Families A Concise Guide To Statistical Inference


Multivariate Exponential Families A Concise Guide To Statistical Inference
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Author : Stefan Bedbur
language : en
Publisher: Springer
Release Date : 2021-10-08

Multivariate Exponential Families A Concise Guide To Statistical Inference written by Stefan Bedbur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 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.



Fundamentals Of Statistical Exponential Families


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.




Graphical Models Exponential Families And Variational Inference


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.



Information And Exponential Families


Information And Exponential Families
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Author : O. Barndorff-Nielsen
language : en
Publisher: John Wiley & Sons
Release Date : 2014-05-07

Information And Exponential Families written by O. Barndorff-Nielsen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-07 with Mathematics categories.


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 concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.



Introduction To Statistical Modelling


Introduction To Statistical Modelling
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Author : Annette J. Dobson
language : en
Publisher: Springer
Release Date : 2013-11-11

Introduction To Statistical Modelling written by Annette J. Dobson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


This book is about generalized linear models as described by NeIder and Wedderburn (1972). This approach provides a unified theoretical and computational framework for the most commonly used statistical methods: regression, analysis of variance and covariance, logistic regression, log-linear models for contingency tables and several more specialized techniques. More advanced expositions of the subject are given by McCullagh and NeIder (1983) and Andersen (1980). The emphasis is on the use of statistical models to investigate substantive questions rather than to produce mathematical descriptions of the data. Therefore parameter estimation and hypothesis testing are stressed. I have assumed that the reader is familiar with the most commonly used statistical concepts and methods and has some basic knowledge of calculus and matrix algebra. Short numerical examples are used to illustrate the main points. In writing this book I have been helped greatly by the comments and criticism of my students and colleagues, especially Anne Young. However, the choice of material, and the obscurities and errors are my responsibility and I apologize to the reader for any irritation caused by them. For typing the manuscript under difficult conditions I am grateful to Anne McKim, Jan Garnsey, Cath Claydon and Julie Latimer.



Exponential Families Of Stochastic Processes


Exponential Families Of Stochastic Processes
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Author : Uwe Küchler
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09

Exponential Families Of Stochastic Processes written by Uwe Küchler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-09 with Mathematics categories.


A comprehensive account of the statistical theory of exponential families of stochastic processes. The book reviews the progress in the field made over the last ten years or so by the authors - two of the leading experts in the field - and several other researchers. The theory is applied to a broad spectrum of examples, covering a large number of frequently applied stochastic process models with discrete as well as continuous time. To make the reading even easier for statisticians with only a basic background in the theory of stochastic process, the first part of the book is based on classical theory of stochastic processes only, while stochastic calculus is used later. Most of the concepts and tools from stochastic calculus needed when working with inference for stochastic processes are introduced and explained without proof in an appendix. This appendix can also be used independently as an introduction to stochastic calculus for statisticians. Numerous exercises are also included.



Exponential Families In Theory And Practice


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.



Conditional Specification Of Statistical Models


Conditional Specification Of Statistical Models
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Author : Barry C. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-02

Conditional Specification Of Statistical Models written by Barry C. Arnold and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-02 with Mathematics categories.


Efforts to visualize multivariate densities necessarily involve the use of cross-sections, or, equivalently, conditional densities. This book focuses on distributions that are completely specified in terms of conditional densities. They are appropriately used in any modeling situation where conditional information is completely or partially available. All statistical researchers seeking more flexible models than those provided by classical models will find conditionally specified distributions of interest.



Probability And Statistical Models With Applications


Probability And Statistical Models With Applications
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Author : CH. A. Charalambides
language : en
Publisher: CRC Press
Release Date : 2000-09-21

Probability And Statistical Models With Applications written by CH. A. Charalambides and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Mathematics categories.


This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probability and Statistical Models with Applications is a must read for probabilists and theoretical and applied statisticians.