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Displaying records 1 through 10 of 167 |
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Price: $50.00
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Sale: $37.05
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Manufacturer: Oxford University Press, USA
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Number of Items: 1
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Binding: Paperback
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Author: Devinderjit Sivia::John Skilling
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Publisher: Oxford University Press, USA
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Edition: 2
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Dewey Decimal Number: 519.542
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Publication Date: 2006-07-27
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Reading Level: 264
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Description: Statistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis.
This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis, multivariate optimization, least-squares and maximum likelihood, error-propagation, hypothesis testing, maximum entropy and experimental design.
The Second Edition of this successful tutorial book contains a new chapter on extensions to the ubiquitous least-squares procedure, allowing for the straightforward handling of outliers and unknown correlated noise, and a cutting-edge contribution from John Skilling on a novel numerical technique for Bayesian computation called 'nested sampling'.
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Price: $89.95
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Sale: $70.39
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Manufacturer: Chapman & Hall/CRC
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Number of Items: 1
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Binding: Hardcover
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Author: Leandro Pardo
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Publisher: Chapman & Hall/CRC
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Edition: 1
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Dewey Decimal Number: 519.54
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Publication Date: 2005-10-10
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Reading Level: 512
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Description: The idea of using functionals of Information Theory, such as entropies or divergences, in statistical inference is not new. However, in spite of the fact that divergence statistics have become a very good alternative to the classical likelihood ratio test and the Pearson-type statistic in discrete models, many statisticians remain unaware of this powerful approach. Statistical Inference Based on Divergence Measures explores classical problems of statistical inference, such as estimation and hypothesis testing, on the basis of measures of entropy and divergence. The first two chapters form an overview, from a statistical perspective, of the most important measures of entropy and divergence and study their properties. The author then examines the statistical analysis of discrete multivariate data with emphasis is on problems in contingency tables and loglinear models using phi-divergence test statistics as well as minimum phi-divergence estimators. The final chapter looks at testing in general populations, presenting the interesting possibility of introducing alternative test statistics to classical ones like Wald, Rao, and likelihood ratio. Each chapter concludes with exercises that clarify the theoretical results and present additional results that complement the main discussions. Clear, comprehensive, and logically developed, this book offers a unique opportunity to gain not only a new perspective on some standard statistics problems, but the tools to put it into practice.
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Price: $16.95
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Sale: $7.95
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Manufacturer: Adventures Unlimited Press
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Number of Items: 1
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Binding: Paperback
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Publisher: Adventures Unlimited Press
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Dewey Decimal Number: 133
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Publication Date: 1994-11
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Reading Level: 306
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Price: $54.50
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Sale: $32.00
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Manufacturer: Oxford University Press, USA
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Number of Items: 1
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Binding: Paperback
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Author: D. S. Sivia
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Publisher: Oxford University Press, USA
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Dewey Decimal Number: 519.542
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Publication Date: 1996-09-26
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Reading Level: 240
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Description: This is the first book on the maximum entropy and Bayesian methods aimed at senior undergraduates in science and engineering. It takes the mystery out of statistics by showing how a few fundamental rules can be used to tackle a wide variety of problems in data analysis. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis, multivariate optimization, least squares and maximum likelihood, error-propagation, hypothesis testing, maximum entropy, and experimental design. As a logical and unified approach to the subject of data analysis, with a self-contained tutorial approach, this work will be valued by instructors and students alike.
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Price: $29.95
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Sale: $14.92
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Manufacturer: Springer
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Number of Items: 1
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Binding: Paperback
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Author: Joaquim P. Marques de Sá
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Publisher: Springer
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Edition: 1
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Dewey Decimal Number: 519.2
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Publication Date: 2008-04-07
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Reading Level: 224
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Description: With its many easy-to-follow mathematical examples, this book takes the reader on an almost chronological trip through the fascinating and amazing laws of chance, omnipresent in the natural world and in our daily lives. Along the route many fascinating topics are discussed, such as: challenging probability paradoxes; "paranormal" coincidences; game odds; causes and effects; interpretation of opinion polls; winning chances as a game proceeds; the nature of randomness; entropy and randomness; randomness in life; algorithmic complexity and the undecidability of randomness; possibilities and limitations of learning the laws of a Universe immersed in chance events. This charming book will inform and entertain the scientist and non-scientist alike.
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Price: $78.50
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Sale: $45.00
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Manufacturer: Princeton University Press
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Number of Items: 1
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Binding: Hardcover
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Publisher: Princeton University Press
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Dewey Decimal Number: 536.73
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Publication Date: 2003-10-06
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Reading Level: 448
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Description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.
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Price: $165.00
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Sale: $100.00
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Manufacturer: American Institute of Physics
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Number of Items: 1
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Binding: Hardcover
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Publisher: American Institute of Physics
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Edition: 1
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Dewey Decimal Number: 519.542
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Publication Date: 2004-05-04
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Reading Level: 496
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Description: The papers for these proceedings were peer reviewed. Bayesian inference and maximum entropy methods provide a framework for analyzing very complicated data sets. The areas of application range from signal processing to thermodynamics. Maximum entropy is a theoretical method used to develop data when little information is available. Image enhancement of unclear astronomical data and medical images can be clarified using these methods. The papers in this volume provide applications of these methods to problems such as acoustics, fluids, thermodynamics, information theory, signal processing, astrophysics, medical imaging, proteins, pattern classification, and character recognition.
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Price: $193.00
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Sale: $184.04
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Manufacturer: Springer
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Number of Items: 1
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Binding: Hardcover
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Author: Shu-Cherng Fang::J.R. Rajasekera::H.S.J. Tsao
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Publisher: Springer
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Edition: 1st
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Dewey Decimal Number: 519.7
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Publication Date: 1997-07-31
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Reading Level: 360
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Description: Entropy optimization is a useful combination of classical engineering theory (entropy) with mathematical optimization. The resulting entropy optimization models have proved their usefulness with successful applications in areas such as image reconstruction, pattern recognition, statistical inference, queuing theory, spectral analysis, statistical mechanics, transportation planning, urban and regional planning, input--output analysis, portfolio investment, information analysis, and linear and nonlinear programming. While entropy optimization has been used in different fields, a good number of applicable solution methods have been loosely constructed without sufficient mathematical treatment. A systematic presentation with proper mathematical treatment of this material is needed by practitioners and researchers alike in all application areas. The purpose of this book is to meet this need. Entropy Optimization and Mathematical Programming offers perspectives that meet the needs of diverse user communities so that the users can apply entropy optimization techniques with complete comfort and ease. With this consideration, the authors focus on the entropy optimization problems in finite dimensional Euclidean space such that only some basic familiarity with optimization is required of the reader.
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Price: $129.00
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Sale: $83.03
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Manufacturer: Springer
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Number of Items: 1
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Binding: Hardcover
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Author: E.H. Lieb
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Publisher: Springer
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Edition: 1
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Dewey Decimal Number: 530
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Publication Date: 2005-01-12
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Reading Level: 506
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Description: In Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors.
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Price: $110.00
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Sale: $79.20
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Manufacturer: Oxford University Press, USA
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Number of Items: 1
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Binding: Hardcover
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Author: Jr., Walter T. Grandy
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Publisher: Oxford University Press, USA
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Dewey Decimal Number: 536.73
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Publication Date: 2008-08-15
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Reading Level: 256
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Description: This book is based on the premise that the entropy concept, a fundamental element of probability theory as logic, governs all of thermal physics, both equilibrium and nonequilibrium. The variational algorithm of J. Willard Gibbs, dating from the 19th Century and extended considerably over the following 100 years, is shown to be the governing feature over the entire range of thermal phenomena, such that only the nature of the macroscopic constraints changes. Beginning with a short history of the development of the entropy concept by Rudolph Clausius and his predecessors, along with the formalization of classical thermodynamics by Gibbs, the first part of the book describes the quest to uncover the meaning of thermodynamic entropy, which leads to its relationship with probability and information as first envisioned by Ludwig Boltzmann. Recognition of entropy first of all as a fundamental element of probability theory in mid-twentieth Century led to deep insights into both statistical mechanics and thermodynamics, the details of which are presented here in several chapters. The later chapters extend these ideas to nonequilibrium statistical mechanics in an unambiguous manner, thereby exhibiting the overall unifying role of the entropy.
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Displaying records 1 through 10 of 167
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