Fundamentals of Statistical Exponential Families

Fundamentals of Statistical Exponential Families

Author: Lawrence D. Brown

Publisher: IMS

Published: 1986

Total Pages: 302

ISBN-13: 9780940600102

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Book Synopsis Fundamentals of Statistical Exponential Families by : Lawrence D. Brown

Download or read book Fundamentals of Statistical Exponential Families written by Lawrence D. Brown and published by IMS. This book was released on 1986 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Fundamentals of Statistical Exponential Families

Fundamentals of Statistical Exponential Families

Author: Lawrence D. Brown

Publisher:

Published: 2008*

Total Pages: 284

ISBN-13:

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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.


Book Synopsis Fundamentals of Statistical Exponential Families by : Lawrence D. Brown

Download or read book Fundamentals of Statistical Exponential Families written by Lawrence D. Brown and published by . This book was released on 2008* with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Multivariate Exponential Families: A Concise Guide to Statistical Inference

Multivariate Exponential Families: A Concise Guide to Statistical Inference

Author: Stefan Bedbur

Publisher: Springer Nature

Published: 2021-10-07

Total Pages: 147

ISBN-13: 3030819000

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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.


Book Synopsis Multivariate Exponential Families: A Concise Guide to Statistical Inference by : Stefan Bedbur

Download or read book Multivariate Exponential Families: A Concise Guide to Statistical Inference written by Stefan Bedbur and published by Springer Nature. This book was released on 2021-10-07 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: Ole E. Barndorff-Nielsen

Publisher:

Published: 1978

Total Pages: 238

ISBN-13:

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Book Synopsis Information and Exponential Families by : Ole E. Barndorff-Nielsen

Download or read book Information and Exponential Families written by Ole E. Barndorff-Nielsen and published by . This book was released on 1978 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Information and Exponential Families

Information and Exponential Families

Author: O. Barndorff-Nielsen

Publisher: John Wiley & Sons

Published: 2014-05-07

Total Pages: 248

ISBN-13: 1118857372

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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 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.


Book Synopsis Information and Exponential Families by : O. Barndorff-Nielsen

Download or read book Information and Exponential Families written by O. Barndorff-Nielsen and published by John Wiley & Sons. This book was released on 2014-05-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Statistical Modelling by Exponential Families

Statistical Modelling by Exponential Families

Author: Rolf Sundberg

Publisher: Cambridge University Press

Published: 2019-08-29

Total Pages: 297

ISBN-13: 1108476597

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


Book Synopsis Statistical Modelling by Exponential Families by : Rolf Sundberg

Download or read book Statistical Modelling by Exponential Families written by Rolf Sundberg and published by Cambridge University Press. This book was released on 2019-08-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable, digestible introduction to essential theory and wealth of applications, with a vast set of examples and numerous exercises.


Exponential Families in Theory and Practice

Exponential Families in Theory and Practice

Author: Bradley Efron

Publisher: Cambridge University Press

Published: 2022-12-15

Total Pages: 264

ISBN-13: 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.


Book Synopsis Exponential Families in Theory and Practice by : Bradley Efron

Download or read book Exponential Families in Theory and Practice written by Bradley Efron and published by Cambridge University Press. This book was released on 2022-12-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: Ole Barndorff-Nielsen

Publisher:

Published: 1978

Total Pages: 238

ISBN-13: 9780835733915

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Book Synopsis Information and Exponential Families by : Ole Barndorff-Nielsen

Download or read book Information and Exponential Families written by Ole Barndorff-Nielsen and published by . This book was released on 1978 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Statistical Estimation for Truncated Exponential Families

Statistical Estimation for Truncated Exponential Families

Author: Masafumi Akahira

Publisher:

Published: 2017

Total Pages: 122

ISBN-13: 9789811052972

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Book Synopsis Statistical Estimation for Truncated Exponential Families by : Masafumi Akahira

Download or read book Statistical Estimation for Truncated Exponential Families written by Masafumi Akahira and published by . This book was released on 2017 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Foundations of Statistical Inference

Foundations of Statistical Inference

Author: Yoel Haitovsky

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 227

ISBN-13: 3642574106

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This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.


Book Synopsis Foundations of Statistical Inference by : Yoel Haitovsky

Download or read book Foundations of Statistical Inference written by Yoel Haitovsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.