Fundamentals Of Statistical Exponential Families


Fundamentals Of Statistical Exponential Families
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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.




Fundamentals Of Statistical Exponential Families


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.



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.



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.



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 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.



Information And Exponential Families


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 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 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.



Information And Exponential Families


Information And Exponential Families
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Author : Ole Barndorff-Nielsen
language : en
Publisher:
Release Date : 1978

Information And Exponential Families written by Ole 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 categories.




Statistical Estimation For Truncated Exponential Families


Statistical Estimation For Truncated Exponential Families
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Author : Masafumi Akahira
language : en
Publisher: Springer
Release Date : 2017-07-26

Statistical Estimation For Truncated Exponential Families written by Masafumi Akahira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Mathematics categories.


This book presents new findings on nonregular statistical estimation. Unlike other books on this topic, its major emphasis is on helping readers understand the meaning and implications of both regularity and irregularity through a certain family of distributions. In particular, it focuses on a truncated exponential family of distributions with a natural parameter and truncation parameter as a typical nonregular family. This focus includes the (truncated) Pareto distribution, which is widely used in various fields such as finance, physics, hydrology, geology, astronomy, and other disciplines. The family is essential in that it links both regular and nonregular distributions, as it becomes a regular exponential family if the truncation parameter is known. The emphasis is on presenting new results on the maximum likelihood estimation of a natural parameter or truncation parameter if one of them is a nuisance parameter. In order to obtain more information on the truncation, the Bayesian approach is also considered. Further, the application to some useful truncated distributions is discussed. The illustrated clarification of the nonregular structure provides researchers and practitioners with a solid basis for further research and applications.



Exponential Families Of Stochastic Processes


Exponential Families Of Stochastic Processes
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Author : Uwe Kuchler
language : en
Publisher:
Release Date : 2014-01-15

Exponential Families Of Stochastic Processes written by Uwe Kuchler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.