Chaos: A Statistical Perspective

Chaos: A Statistical Perspective

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  • Author: Kung-Sik Chan
  • Publisher: Springer Science & Business Media
  • ISBN: 1475734646
  • Category : Mathematics
  • Languages : en
  • Pages : 312

This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.


Chaos

Chaos

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  • Author: Kung-Sik Chan
  • Publisher:
  • ISBN: 9781475734652
  • Category :
  • Languages : en
  • Pages : 324


Nonlinear Dynamics, Chaos, and Instability

Nonlinear Dynamics, Chaos, and Instability

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  • Author: William A. Brock
  • Publisher: MIT Press
  • ISBN: 9780262023290
  • Category : Business & Economics
  • Languages : en
  • Pages : 362

Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied to such areas of economics and finance as the changing structure of stock returns and nonlinearity in foreign exchange.


Profiting from Chaos

Profiting from Chaos

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  • Author: Tonis Vaga
  • Publisher: Tonis Vaga
  • ISBN: 9780070667860
  • Category : Business & Economics
  • Languages : en
  • Pages : 284

Finally, a book that not only explains the relationship between investing and chaos theory--the cutting-edge dicipline that Business Week says will "revitalize the money-management industry"--but also shows readers how to use the theory to master the financial markets. Illustrated.


Networks and Chaos - Statistical and Probabilistic Aspects

Networks and Chaos - Statistical and Probabilistic Aspects

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  • Author: J L Jensen
  • Publisher: CRC Press
  • ISBN: 9780412465307
  • Category : Mathematics
  • Languages : en
  • Pages : 324

This volume consists of a collection of tutorial papers by leading experts on statistical and probabilistic aspects of chaos and networks, in particular neural networks. While written for the non-expert, they are intended to bring the reader up to the forefront of knowledge and research in the subject areas concerned. The papers, which contain extensive references to the literature, can separately or in various combinations serve as bases for short- or full-length courses, at graduate or more advanced levels. The papers are directed not only to mathematical statisticians but also to students and researchers in related fields of biology, engineering, geology, physics and probability.


Chaos, Complexity and Leadership 2020

Chaos, Complexity and Leadership 2020

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  • Author: Şefika Şule Erçetin
  • Publisher: Springer Nature
  • ISBN: 3030740579
  • Category : Science
  • Languages : en
  • Pages : 317

This book analyzes a range of new developments in various fields concerning the concepts of chaos and complexity theory. The proceedings of the 7th International Symposium on Chaos, Complexity and Leadership feature newly developed concepts involving various research methodologies for identifying chaos and complexity in different fields of the sciences and leadership. In addition, it explores chaotic and complex systems from all fields of knowledge in order to stake a claim of prevalence of compatibility between knowledge fields. Particular emphasis is placed on exploring non-linearity in order to open a discussion on new approaches to and perspectives on chaos, complexity and leadership. Readers will find coverage of important events that have recently taken place in our world, regardless of whether they were social, political, economic or scientific in nature. The book explores diverse aspects of and issues related to the effects of chaos and complexity in the world; discusses the application of nonlinear dynamics in order to arrive at transformational policies; and offers projections of tomorrow’s world using an interdisciplinary approach. Though primarily intended for readers with an interest in nonlinear science, thanks to its focus on the application of chaos and complexity to other disciplines, the book appeals to a broad readership.


The Symmetry Perspective

The Symmetry Perspective

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  • Author: Martin Golubitsky
  • Publisher: Birkhäuser
  • ISBN: 3034881673
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 325

The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS


Statistical Learning from a Regression Perspective

Statistical Learning from a Regression Perspective

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  • Author: Richard A. Berk
  • Publisher: Springer Science & Business Media
  • ISBN: 0387775013
  • Category : Mathematics
  • Languages : en
  • Pages : 373

Statistical Learning from a Regression Perspective considers statistical learning applications when interest centers on the conditional distribution of the response variable, given a set of predictors, and when it is important to characterize how the predictors are related to the response. As a first approximation, this is can be seen as an extension of nonparametric regression. Among the statistical learning procedures examined are bagging, random forests, boosting, and support vector machines. Response variables may be quantitative or categorical. Real applications are emphasized, especially those with practical implications. One important theme is the need to explicitly take into account asymmetric costs in the fitting process. For example, in some situations false positives may be far less costly than false negatives. Another important theme is to not automatically cede modeling decisions to a fitting algorithm. In many settings, subject-matter knowledge should trump formal fitting criteria. Yet another important theme is to appreciate the limitation of one’s data and not apply statistical learning procedures that require more than the data can provide. The material is written for graduate students in the social and life sciences and for researchers who want to apply statistical learning procedures to scientific and policy problems. Intuitive explanations and visual representations are prominent. All of the analyses included are done in R.


Chaos Theory Tamed

Chaos Theory Tamed

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  • Author: Garnett Williams
  • Publisher: CRC Press
  • ISBN: 1482295415
  • Category : Mathematics
  • Languages : en
  • Pages : 518

This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.


Statistical Decision Theory and Bayesian Analysis

Statistical Decision Theory and Bayesian Analysis

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  • Author: James O. Berger
  • Publisher: Springer Science & Business Media
  • ISBN: 147574286X
  • Category : Mathematics
  • Languages : en
  • Pages : 633

In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.