Invariant Measures on Groups and Their Use in Statistics

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Publisher : IMS
ISBN 13 : 9780940600195
Total Pages : 264 pages
Book Rating : 4.6/5 (1 download)

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Book Synopsis Invariant Measures on Groups and Their Use in Statistics by : Robert A. Wijsman

Download or read book Invariant Measures on Groups and Their Use in Statistics written by Robert A. Wijsman and published by IMS. This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariant Measures on Groups and Their Use in Statistics

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Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (279 download)

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Book Synopsis Invariant Measures on Groups and Their Use in Statistics by : Robert A. Wijsman

Download or read book Invariant Measures on Groups and Their Use in Statistics written by Robert A. Wijsman and published by . This book was released on 2008* with total page 238 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.

Group Invariance Applications in Statistics

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Publisher : IMS
ISBN 13 : 9780940600157
Total Pages : 148 pages
Book Rating : 4.6/5 (1 download)

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Book Synopsis Group Invariance Applications in Statistics by : Morris L. Eaton

Download or read book Group Invariance Applications in Statistics written by Morris L. Eaton and published by IMS. This book was released on 1989 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Groups, Expanding Graphs and Invariant Measures

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Publisher : Springer Science & Business Media
ISBN 13 : 3034603320
Total Pages : 201 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Discrete Groups, Expanding Graphs and Invariant Measures by : Alex Lubotzky

Download or read book Discrete Groups, Expanding Graphs and Invariant Measures written by Alex Lubotzky and published by Springer Science & Business Media. This book was released on 2010-02-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied by Banach [Ba]. It asks whether the Lebesgue measure is the only ?nitely additive measure of total measure one, de?ned on the Lebesgue subsets of the n-dimensional sphere and invariant under all rotations. The two problems seem, at ?rst glance, totally unrelated. It is therefore so- what surprising that both problems were solved using similar methods: initially, Kazhdan’s property (T) from representation theory of semi-simple Lie groups was applied in both cases to achieve partial results, and later on, both problems were solved using the (proved) Ramanujan conjecture from the theory of automorphic forms. The fact that representation theory and automorphic forms have anything to do with these problems is a surprise and a hint as well that the two questions are strongly related.

Algebraic Methods in Statistics and Probability

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826875
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Methods in Statistics and Probability by : Marlos A. G. Viana

Download or read book Algebraic Methods in Statistics and Probability written by Marlos A. G. Viana and published by American Mathematical Soc.. This book was released on 2001 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Discrete Groups, Expanding Graphs and Invariant Measures

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Publisher :
ISBN 13 :
Total Pages : 173 pages
Book Rating : 4.:/5 (716 download)

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Book Synopsis Discrete Groups, Expanding Graphs and Invariant Measures by : Alexander Lubotzky

Download or read book Discrete Groups, Expanding Graphs and Invariant Measures written by Alexander Lubotzky and published by . This book was released on 1989 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Epistemic Processes

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Publisher : Springer Nature
ISBN 13 : 303081923X
Total Pages : 251 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Epistemic Processes by : Inge S. Helland

Download or read book Epistemic Processes written by Inge S. Helland and published by Springer Nature. This book was released on 2021-10-15 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes. The latter are processes, such as statistical investigations or quantum mechanical measurements, that can be used to obtain knowledge about something. Various topics in quantum theory are addressed, including the construction of a Hilbert space from reasonable assumptions and an interpretation of quantum states. Separate derivations of the Born formula and the one-dimensional Schrödinger equation are given. In concrete terms, a Hilbert space can be constructed under some technical assumptions associated with situations where there are two conceptual variables that can be seen as maximally accessible. Then to every accessible conceptual variable there corresponds an operator on this Hilbert space, and if the variables take a finite number of values, the eigenspaces/eigenvectors of these operators correspond to specific questions in nature together with sharp answers to these questions. This paves a new way to the foundations of quantum theory. The resulting interpretation of quantum mechanics is related to Hervé Zwirn's recent Convivial Solipsism, but it also has some relations to Quantum Bayesianism and to Rovelli's relational quantum mechanics. Niels Bohr's concept of complementarity plays an important role. Philosophical implications of this approach to quantum theory are discussed, including consequences for macroscopic settings. The book will benefit a broad readership, including physicists and statisticians interested in the foundations of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.

Stochastic Models, Information Theory, and Lie Groups, Volume 2

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Publisher : Springer Science & Business Media
ISBN 13 : 0817649441
Total Pages : 461 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Models, Information Theory, and Lie Groups, Volume 2 by : Gregory S. Chirikjian

Download or read book Stochastic Models, Information Theory, and Lie Groups, Volume 2 written by Gregory S. Chirikjian and published by Springer Science & Business Media. This book was released on 2011-11-16 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.

Ordinal Invariant Measures for Individual and Group Changes in Ordered Categorical Data

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (924 download)

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Book Synopsis Ordinal Invariant Measures for Individual and Group Changes in Ordered Categorical Data by :

Download or read book Ordinal Invariant Measures for Individual and Group Changes in Ordered Categorical Data written by and published by . This book was released on 1996 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics, Supplement III

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Publisher : Springer Science & Business Media
ISBN 13 : 0306483734
Total Pages : 564 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Encyclopaedia of Mathematics, Supplement III by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics, Supplement III written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2007-11-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Testing Statistical Hypotheses

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Publisher : Springer Nature
ISBN 13 : 3030705781
Total Pages : 1016 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Testing Statistical Hypotheses by : E.L. Lehmann

Download or read book Testing Statistical Hypotheses written by E.L. Lehmann and published by Springer Nature. This book was released on 2022-06-22 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Testing Statistical Hypotheses

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Publisher : Springer Science & Business Media
ISBN 13 : 038727605X
Total Pages : 795 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Testing Statistical Hypotheses by : Erich L. Lehmann

Download or read book Testing Statistical Hypotheses written by Erich L. Lehmann and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Examples and Problems in Mathematical Statistics

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Publisher : John Wiley & Sons
ISBN 13 : 1118605837
Total Pages : 499 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Examples and Problems in Mathematical Statistics by : Shelemyahu Zacks

Download or read book Examples and Problems in Mathematical Statistics written by Shelemyahu Zacks and published by John Wiley & Sons. This book was released on 2013-12-17 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results. Written by an established authority in probability and mathematical statistics, each chapter begins with a theoretical presentation to introduce both the topic and the important results in an effort to aid in overall comprehension. Examples are then provided, followed by problems, and finally, solutions to some of the earlier problems. In addition, Examples and Problems in Mathematical Statistics features: Over 160 practical and interesting real-world examples from a variety of fields including engineering, mathematics, and statistics to help readers become proficient in theoretical problem solving More than 430 unique exercises with select solutions Key statistical inference topics, such as probability theory, statistical distributions, sufficient statistics, information in samples, testing statistical hypotheses, statistical estimation, confidence and tolerance intervals, large sample theory, and Bayesian analysis Recommended for graduate-level courses in probability and statistical inference, Examples and Problems in Mathematical Statistics is also an ideal reference for applied statisticians and researchers.

Model Selection

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Publisher : IMS
ISBN 13 : 9780940600522
Total Pages : 262 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Model Selection by : Parhasarathi Lahiri

Download or read book Model Selection written by Parhasarathi Lahiri and published by IMS. This book was released on 2001 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Proceedings of the Symposium on Inference for Stochastic Processes

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Publisher : IMS
ISBN 13 : 9780940600515
Total Pages : 370 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Selected Proceedings of the Symposium on Inference for Stochastic Processes by : Ishwar V. Basawa

Download or read book Selected Proceedings of the Symposium on Inference for Stochastic Processes written by Ishwar V. Basawa and published by IMS. This book was released on 2001 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Measure Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540345140
Total Pages : 1075 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Measure Theory by : Vladimir I. Bogachev

Download or read book Measure Theory written by Vladimir I. Bogachev and published by Springer Science & Business Media. This book was released on 2007-01-15 with total page 1075 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.

Statistical Applications of Jordan Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461226783
Total Pages : 110 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Applications of Jordan Algebras by : James D. Malley

Download or read book Statistical Applications of Jordan Algebras written by James D. Malley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph brings together my work in mathematical statistics as I have viewed it through the lens of Jordan algebras. Three technical domains are to be seen: applications to random quadratic forms (sums of squares), the investigation of algebraic simplifications of maxi mum likelihood estimation of patterned covariance matrices, and a more wide open mathematical exploration of the algebraic arena from which I have drawn the results used in the statistical problems just mentioned. Chapters 1, 2, and 4 present the statistical outcomes I have developed using the algebraic results that appear, for the most part, in Chapter 3. As a less daunting, yet quite efficient, point of entry into this material, one avoiding most of the abstract algebraic issues, the reader may use the first half of Chapter 4. Here I present a streamlined, but still fully rigorous, definition of a Jordan algebra (as it is used in that chapter) and its essential properties. These facts are then immediately applied to simplifying the M:-step of the EM algorithm for multivariate normal covariance matrix estimation, in the presence of linear constraints, and data missing completely at random. The results presented essentially resolve a practical statistical quest begun by Rubin and Szatrowski [1982], and continued, sometimes implicitly, by many others. After this, one could then return to Chapters 1 and 2 to see how I have attempted to generalize the work of Cochran, Rao, Mitra, and others, on important and useful properties of sums of squares.