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Statistical Information


Statistical Information
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Information Theory And Statistical Learning


Information Theory And Statistical Learning
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Author : Frank Emmert-Streib
language : en
Publisher: Springer Science & Business Media
Release Date : 2009

Information Theory And Statistical Learning written by Frank Emmert-Streib 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 2009 with Computers categories.


This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.



Statistical Information And Likelihood


Statistical Information And Likelihood
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Author : D. Basu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Statistical Information And Likelihood written by D. Basu 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 2012-12-06 with Mathematics categories.


It is an honor to be asked to write a foreword to this book, for I believe that it and other books to follow will eventually lead to a dramatic change in the current statistics curriculum in our universities. I spent the 1975-76 academic year at Florida State University in Tallahassee. My purpose was to complete a book on Statistical Reliability Theory with Frank Proschan. At the time, I was working on total time on test processes. At the same time, I started attending lectures by Dev Basu on statistical inference. It was Lehmann's hypothesis testing course and Lehmann's book was the text. However, I noticed something strange - Basu never opened the book. He was obviously not following it. Instead, he was giving a very elegant, measure theoretic treatment of the concepts of sufficiency, ancillarity, and invariance. He was interested in the concept of information - what it meant. - how it fitted in with contemporary statistics. As he looked at the fundamental ideas, the logic behind their use seemed to evaporate. I was shocked. I didn't like priors. I didn't like Bayesian statistics. But after the smoke had cleared, that was all that was left. Basu loves counterexamples. He is like an art critic in the field of statistical inference. He would find a counterexample to the Bayesian approach if he could. So far, he has failed in this respect.



Information And Complexity In Statistical Modeling


Information And Complexity In Statistical Modeling
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Author : Jorma Rissanen
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-15

Information And Complexity In Statistical Modeling written by Jorma Rissanen 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 2007-12-15 with Mathematics categories.


No statistical model is "true" or "false," "right" or "wrong"; the models just have varying performance, which can be assessed. The main theme in this book is to teach modeling based on the principle that the objective is to extract the information from data that can be learned with suggested classes of probability models. The intuitive and fundamental concepts of complexity, learnable information, and noise are formalized, which provides a firm information theoretic foundation for statistical modeling. Although the prerequisites include only basic probability calculus and statistics, a moderate level of mathematical proficiency would be beneficial.



Statistical Information And Likelihood


Statistical Information And Likelihood
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Author : Dev Basu
language : en
Publisher: Springer
Release Date : 1988-07-12

Statistical Information And Likelihood written by Dev Basu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-12 with Mathematics categories.


This book is a collection of essays on the foundations of Statistical Inference. The sequence in which the essays have been arranged makes it possible to read the book as a single contemporay discourse on the likelihood principle, the paradoxes that attend its violation, and the radical deviation from classical statistical practices that its adoption would entail. The book can also be read, with the aid of the notes as a chronicle of the development of Basu's ideas.



Graphic Presentation Of Statistical Information


Graphic Presentation Of Statistical Information
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Author :
language : en
Publisher:
Release Date : 1978

Graphic Presentation Of Statistical Information written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Statistics categories.




Topics In Statistical Information Theory


Topics In Statistical Information Theory
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Author : Solomon Kullback
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Topics In Statistical Information Theory written by Solomon Kullback 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 2013-12-01 with Mathematics categories.


The relevance of information theory to statistical theory and its applications to stochastic processes is a unifying influence in these TOPICS. The integral representation of discrimination information is presented in these TOPICS reviewing various approaches used in the literature, and is also developed herein using intrinsically information-theoretic methods. Log likelihood ratios associated with various stochastic processes are computed by an application of minimum discrimination information estimates. Linear discriminant functionals are used in the information-theoretic analysis of a variety of stochastic processes. Sections are numbered serially within each chapter, with a decimal notation for subsections. Equations, examples, theorems and lemmas, are numbered serially within each section with a decimal notation. The digits to the left of the decimal point represent the section and the digits to the right of the decimal point the serial number within the section. When reference is made to a section, equation, example, theorem or lemma within the same chapter only the section number or equation number, etc., is given. When the reference is to a section ,equation, etc., in a different chapter, then in addition to the section or equation etc., number, the chapter number is also given. References to the bibliography are by the author's name followed by the year of publication in parentheses. The transpose of a matrix is denoted by a prime; thus one-row matrices are denoted by primes as the transposes of one-column matrices (vectors).



Graphic Presentation Of Statistical Information


Graphic Presentation Of Statistical Information
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Author : United States. Bureau of the Census. Statistical Research Division
language : en
Publisher:
Release Date : 1978

Graphic Presentation Of Statistical Information written by United States. Bureau of the Census. Statistical Research Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Statistics categories.




Forest Products Statistical Information Systems Of Eu And Efta


Forest Products Statistical Information Systems Of Eu And Efta
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Author : Philip A. Wardle
language : en
Publisher: BRILL
Release Date : 2003-01-01

Forest Products Statistical Information Systems Of Eu And Efta written by Philip A. Wardle and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Nature categories.


This book is the only in its kind to review the commodity coding, definitions and methodology applying to the collection of forest products production and trade statistics. The analysis - both qualitative as quantitative - contains valuable information for anybody who want to gain more insight in the methodology behind the figures. Recommendations are made for improving the data collection framework. Special attention has been given to the comparability of commodity coding systems, comparability of terms and definitions at the national and international levels, conversion factors to convert volume and weight, double counting and the coverage of production and trade of tropical timber and its products. This relates to the efforts of the ECE, FAO, EUROSTAT and ITTO who jointly collect such statistics from their member states, with the aim to streamlining the collection process and to reducing the burden for their statistical correspondents. Data on commercial trade of all commodities, among which forest products, is also collected by UN - COMTRADE and Eurostat - COMEXT. The possible use of their data for reporting to the joint questionnaire is used.



New Developments In Statistical Information Theory Based On Entropy And Divergence Measures


New Developments In Statistical Information Theory Based On Entropy And Divergence Measures
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Author : Leandro Pardo
language : en
Publisher: MDPI
Release Date : 2019-05-20

New Developments In Statistical Information Theory Based On Entropy And Divergence Measures written by Leandro Pardo and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-20 with Social Science categories.


This book presents new and original research in Statistical Information Theory, based on minimum divergence estimators and test statistics, from a theoretical and applied point of view, for different statistical problems with special emphasis on efficiency and robustness. Divergence statistics, based on maximum likelihood estimators, as well as Wald’s statistics, likelihood ratio statistics and Rao’s score statistics, share several optimum asymptotic properties, but are highly non-robust in cases of model misspecification under the presence of outlying observations. It is well-known that a small deviation from the underlying assumptions on the model can have drastic effect on the performance of these classical tests. Specifically, this book presents a robust version of the classical Wald statistical test, for testing simple and composite null hypotheses for general parametric models, based on minimum divergence estimators.



Historical And Statistical Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States


Historical And Statistical Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States
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Author : Henry Rowe Schoolcraft
language : en
Publisher:
Release Date : 1852

Historical And Statistical Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States Information Respecting The History Condition And Prospects Of The Indian Tribes Of The United States written by Henry Rowe Schoolcraft and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1852 with Indians of North America categories.