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Author :
Publisher :
ISBN 13 :
Total Pages : 499 pages
Book Rating : 4.:/5 (917 download)
Download or read book Statistical Decision Rules and Optimal Inference written by and published by . This book was released on 1980 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. N. Cencov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813478
Total Pages : 514 pages
Book Rating : 4.8/5 (134 download)
Download or read book Statistical Decision Rules and Optimal Inference written by N. N. Cencov and published by American Mathematical Soc.. This book was released on 2000-04-19 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: None available in plain English.
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Publisher : John Wiley & Sons
ISBN 13 : 0471743844
Total Pages : 706 pages
Book Rating : 4.4/5 (717 download)
Download or read book Encyclopedia of Statistical Sciences, Volume 3 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES
Author : Alexey Sorokin
Publisher : Springer Science & Business Media
ISBN 13 : 146143906X
Total Pages : 374 pages
Book Rating : 4.4/5 (614 download)
Download or read book Dynamics of Information Systems: Mathematical Foundations written by Alexey Sorokin and published by Springer Science & Business Media. This book was released on 2012-08-04 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and universities to exchange knowledge and results in a broad range of topics relevant to the theory and practice of the dynamics of information systems. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more.
Author : Jagadis Chandra Misra
Publisher : World Scientific
ISBN 13 : 9814488046
Total Pages : 571 pages
Book Rating : 4.8/5 (144 download)
Download or read book Uncertainty And Optimality: Probability, Statistics And Operations Research written by Jagadis Chandra Misra and published by World Scientific. This book was released on 2002-11-05 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with different modern topics in probability, statistics and operations research. It has been written lucidly in a novel way. Wherever necessary, the theory is explained in great detail, with suitable illustrations. Numerous references are given, so that young researchers who want to start their work in a particular area will benefit immensely from the book.The contributors are distinguished statisticians and operations research experts from all over the world.
Author : Ivan V. Sergienko
Publisher : Springer Nature
ISBN 13 : 3030909085
Total Pages : 387 pages
Book Rating : 4.0/5 (39 download)
Download or read book Elements of the General Theory of Optimal Algorithms written by Ivan V. Sergienko and published by Springer Nature. This book was released on 2022-01-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.
Author : Ryuzo Sato
Publisher : Springer Science & Business Media
ISBN 13 : 9401711453
Total Pages : 312 pages
Book Rating : 4.4/5 (17 download)
Download or read book Conservation Laws and Symmetry: Applications to Economics and Finance written by Ryuzo Sato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation and catastrophe theo ries have been used to analyze the instability of economic models. Differential topology provided useful techniques for deriving results in general equilibrium analysis. But they are less aware of the central role that Felix Klein and Sophus Lie gave to group theory in the study of geometrical systems. Lie went on to show that the special methods used in solving differential equations can be classified through the study of the invariance of these equations under a continuous group of transformations. Mathematicians and physicists later recognized the relation between Lie's work on differential equations and symme try and, combining the visions of Hamilton, Lie, Klein and Noether, embarked on a research program whose vitality is attested by the innumerable books and articles written by them as well as by biolo gists, chemists and philosophers.
Author : Paolo Gibilisco
Publisher : Cambridge University Press
ISBN 13 : 0521896193
Total Pages : 447 pages
Book Rating : 4.5/5 (218 download)
Download or read book Algebraic and Geometric Methods in Statistics written by Paolo Gibilisco and published by Cambridge University Press. This book was released on 2010 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.
Author : Jayanta K. Ghosh
Publisher : Springer Science & Business Media
ISBN 13 : 0387354336
Total Pages : 356 pages
Book Rating : 4.3/5 (873 download)
Download or read book An Introduction to Bayesian Analysis written by Jayanta K. Ghosh and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate-level textbook on Bayesian analysis blending modern Bayesian theory, methods, and applications. Starting from basic statistics, undergraduate calculus and linear algebra, ideas of both subjective and objective Bayesian analysis are developed to a level where real-life data can be analyzed using the current techniques of statistical computing. Advances in both low-dimensional and high-dimensional problems are covered, as well as important topics such as empirical Bayes and hierarchical Bayes methods and Markov chain Monte Carlo (MCMC) techniques. Many topics are at the cutting edge of statistical research. Solutions to common inference problems appear throughout the text along with discussion of what prior to choose. There is a discussion of elicitation of a subjective prior as well as the motivation, applicability, and limitations of objective priors. By way of important applications the book presents microarrays, nonparametric regression via wavelets as well as DMA mixtures of normals, and spatial analysis with illustrations using simulated and real data. Theoretical topics at the cutting edge include high-dimensional model selection and Intrinsic Bayes Factors, which the authors have successfully applied to geological mapping. The style is informal but clear. Asymptotics is used to supplement simulation or understand some aspects of the posterior.
Author : Masanao Ozawa
Publisher : Springer
ISBN 13 : 9811324875
Total Pages : 398 pages
Book Rating : 4.8/5 (113 download)
Download or read book Reality and Measurement in Algebraic Quantum Theory written by Masanao Ozawa and published by Springer. This book was released on 2018-11-02 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.
Author : F. Liese
Publisher : Springer Science & Business Media
ISBN 13 : 0387731946
Total Pages : 696 pages
Book Rating : 4.3/5 (877 download)
Download or read book Statistical Decision Theory written by F. Liese and published by Springer Science & Business Media. This book was released on 2008-12-30 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.
Author : Antonio M. Scarfone
Publisher : MDPI
ISBN 13 : 3038974692
Total Pages : 203 pages
Book Rating : 4.0/5 (389 download)
Download or read book New Trends in Statistical Physics of Complex Systems written by Antonio M. Scarfone and published by MDPI. This book was released on 2019-01-28 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "New Trends in Statistical Physics of Complex Systems" that was published in Entropy
Author : Frédéric Barbaresco
Publisher : Springer Nature
ISBN 13 : 3030779572
Total Pages : 466 pages
Book Rating : 4.0/5 (37 download)
Download or read book Geometric Structures of Statistical Physics, Information Geometry, and Learning written by Frédéric Barbaresco and published by Springer Nature. This book was released on 2021-06-27 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statistical physics has been investigated through new geometric structures allowing covariant formalization of the thermodynamics. Inference methods in machine learning have begun to adapt these new geometric structures to process data in more abstract representation spaces. This volume collects selected contributions on the interplay of statistical physics and artificial intelligence. The aim is to provide a constructive dialogue around a common foundation to allow the establishment of new principles and laws governing these two disciplines in a unified manner. The contributions were presented at the workshop on the Joint Structures and Common Foundation of Statistical Physics, Information Geometry and Inference for Learning which was held in Les Houches in July 2020. The various theoretical approaches are discussed in the context of potential applications in cognitive systems, machine learning, signal processing.
Author : William Kingdon Clifford
Publisher : American Mathematical Soc.
ISBN 13 : 0821806076
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry and Nature written by William Kingdon Clifford and published by American Mathematical Soc.. This book was released on 1997 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outgrowth of a conference devoted to William K. Clifford entitled, "New Trends in Geometrical and Topological Methods", which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work. This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Containing papers presented or submitted to the conference, each article is self-contained.
Author : Robert Murphey
Publisher : Springer Science & Business Media
ISBN 13 : 0306475367
Total Pages : 306 pages
Book Rating : 4.3/5 (64 download)
Download or read book Cooperative Control and Optimization written by Robert Murphey and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cooperative system is defined to be multiple dynamic entities that share information or tasks to accomplish a common, though perhaps not singular, objective. Examples of cooperative control systems might include: robots operating within a manufacturing cell, unmanned aircraft in search and rescue operations or military surveillance and attack missions, arrays of micro satellites that form a distributed large aperture radar, employees operating within an organization, and software agents. The term entity is most often associated with vehicles capable of physical motion such as robots, automobiles, ships, and aircraft, but the definition extends to any entity concept that exhibits a time dependent behavior. Critical to cooperation is communication, which may be accomplished through active message passing or by passive observation. It is assumed that cooperation is being used to accomplish some common purpose that is greater than the purpose of each individual, but we recognize that the individual may have other objectives as well, perhaps due to being a member of other caucuses. This implies that cooperation may assume hierarchical forms as well. The decision-making processes (control) are typically thought to be distributed or decentralized to some degree. For if not, a cooperative system could always be modeled as a single entity. The level of cooperation may be indicated by the amount of information exchanged between entities. Cooperative systems may involve task sharing and can consist of heterogeneous entities. Mixed initiative systems are particularly interesting heterogeneous systems since they are composed of humans and machines. Finally, one is often interested in how cooperative systems perform under noisy or adversary conditions. In December 2000, the Air Force Research Laboratory and the University of Florida successfully hosted the first Workshop on Cooperative Control and Optimization in Gainesville, Florida. This book contains selected refereed papers summarizing the participants' research in control and optimization of cooperative systems. Audience: Faculty, graduate students, and researchers in optimization and control, computer sciences and engineering.
Author : Frédéric Barbaresco
Publisher : MDPI
ISBN 13 : 3038424242
Total Pages : 473 pages
Book Rating : 4.0/5 (384 download)
Download or read book Differential Geometrical Theory of Statistics written by Frédéric Barbaresco and published by MDPI. This book was released on 2018-04-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy
Author : Robert Simon Fong
Publisher : Springer Nature
ISBN 13 : 303104293X
Total Pages : 171 pages
Book Rating : 4.0/5 (31 download)
Download or read book Population-Based Optimization on Riemannian Manifolds written by Robert Simon Fong and published by Springer Nature. This book was released on 2022-05-17 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifold optimization is an emerging field of contemporary optimization that constructs efficient and robust algorithms by exploiting the specific geometrical structure of the search space. In our case the search space takes the form of a manifold. Manifold optimization methods mainly focus on adapting existing optimization methods from the usual “easy-to-deal-with” Euclidean search spaces to manifolds whose local geometry can be defined e.g. by a Riemannian structure. In this way the form of the adapted algorithms can stay unchanged. However, to accommodate the adaptation process, assumptions on the search space manifold often have to be made. In addition, the computations and estimations are confined by the local geometry. This book presents a framework for population-based optimization on Riemannian manifolds that overcomes both the constraints of locality and additional assumptions. Multi-modal, black-box manifold optimization problems on Riemannian manifolds can be tackled using zero-order stochastic optimization methods from a geometrical perspective, utilizing both the statistical geometry of the decision space and Riemannian geometry of the search space. This monograph presents in a self-contained manner both theoretical and empirical aspects of stochastic population-based optimization on abstract Riemannian manifolds.
