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Author : Klaus R. Mecke
Publisher :
ISBN 13 : 9783662142998
Total Pages : 436 pages
Book Rating : 4.1/5 (429 download)
Download or read book Statistical Physics and Spatial Statistics written by Klaus R. Mecke and published by . This book was released on 2014-01-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus R. Mecke
Publisher : Springer Science & Business Media
ISBN 13 : 354067750X
Total Pages : 420 pages
Book Rating : 4.5/5 (46 download)
Download or read book Statistical Physics and Spatial Statistics written by Klaus R. Mecke and published by Springer Science & Business Media. This book was released on 2000-08-28 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.
Author : Dionissios T. Hristopulos
Publisher : Springer Nature
ISBN 13 : 9402419187
Total Pages : 884 pages
Book Rating : 4.4/5 (24 download)
Download or read book Random Fields for Spatial Data Modeling written by Dionissios T. Hristopulos and published by Springer Nature. This book was released on 2020-02-17 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.
Author : Klaus R. Mecke
Publisher : Springer
ISBN 13 : 3540450432
Total Pages : 420 pages
Book Rating : 4.5/5 (44 download)
Download or read book Statistical Physics and Spatial Statistics written by Klaus R. Mecke and published by Springer. This book was released on 2008-01-11 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.
Author : Oliver Schabenberger
Publisher : CRC Press
ISBN 13 : 1482258137
Total Pages : 512 pages
Book Rating : 4.4/5 (822 download)
Download or read book Statistical Methods for Spatial Data Analysis written by Oliver Schabenberger and published by CRC Press. This book was released on 2017-01-27 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding spatial statistics requires tools from applied and mathematical statistics, linear model theory, regression, time series, and stochastic processes. It also requires a mindset that focuses on the unique characteristics of spatial data and the development of specialized analytical tools designed explicitly for spatial data analysis. Statistical Methods for Spatial Data Analysis answers the demand for a text that incorporates all of these factors by presenting a balanced exposition that explores both the theoretical foundations of the field of spatial statistics as well as practical methods for the analysis of spatial data. This book is a comprehensive and illustrative treatment of basic statistical theory and methods for spatial data analysis, employing a model-based and frequentist approach that emphasizes the spatial domain. It introduces essential tools and approaches including: measures of autocorrelation and their role in data analysis; the background and theoretical framework supporting random fields; the analysis of mapped spatial point patterns; estimation and modeling of the covariance function and semivariogram; a comprehensive treatment of spatial analysis in the spectral domain; and spatial prediction and kriging. The volume also delivers a thorough analysis of spatial regression, providing a detailed development of linear models with uncorrelated errors, linear models with spatially-correlated errors and generalized linear mixed models for spatial data. It succinctly discusses Bayesian hierarchical models and concludes with reviews on simulating random fields, non-stationary covariance, and spatio-temporal processes. Additional material on the CRC Press website supplements the content of this book. The site provides data sets used as examples in the text, software code that can be used to implement many of the principal methods described and illustrated, and updates to the text itself.
Author : Alan E. Gelfand
Publisher : CRC Press
ISBN 13 : 1420072889
Total Pages : 622 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Spatial Statistics written by Alan E. Gelfand and published by CRC Press. This book was released on 2010-03-19 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembling a collection of very prominent researchers in the field, the Handbook of Spatial Statistics presents a comprehensive treatment of both classical and state-of-the-art aspects of this maturing area. It takes a unified, integrated approach to the material, providing cross-references among chapters.The handbook begins with a historical intro
Author : M.N.M. van Lieshout
Publisher : CRC Press
ISBN 13 : 0429627033
Total Pages : 162 pages
Book Rating : 4.4/5 (296 download)
Download or read book Theory of Spatial Statistics written by M.N.M. van Lieshout and published by CRC Press. This book was released on 2019-03-19 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers. Features * Presents the mathematical foundations of spatial statistics. * Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology. * Gives pointers to the literature to facilitate further study. * Provides example code in R to encourage the student to experiment. * Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.
Author : B. D. Ripley
Publisher : Cambridge University Press
ISBN 13 : 9780521424202
Total Pages : 162 pages
Book Rating : 4.4/5 (242 download)
Download or read book Statistical Inference for Spatial Processes written by B. D. Ripley and published by Cambridge University Press. This book was released on 1988 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of spatial processes and their applications is an important topic in statistics and finds wide application particularly in computer vision and image processing. This book is devoted to statistical inference in spatial statistics and is intended for specialists needing an introduction to the subject and to its applications. One of the themes of the book is the demonstration of how these techniques give new insights into classical procedures (including new examples in likelihood theory) and newer statistical paradigms such as Monte-Carlo inference and pseudo-likelihood. Professor Ripley also stresses the importance of edge effects and of lack of a unique asymptotic setting in spatial problems. Throughout, the author discusses the foundational issues posed and the difficulties, both computational and philosophical, which arise. The final chapters consider image restoration and segmentation methods and the averaging and summarising of images. Thus, the book will find wide appeal to researchers in computer vision, image processing, and those applying microscopy in biology, geology and materials science, as well as to statisticians interested in the foundations of their discipline.
Author : Brian D. Ripley
Publisher : John Wiley & Sons
ISBN 13 : 047172520X
Total Pages : 272 pages
Book Rating : 4.4/5 (717 download)
Download or read book Spatial Statistics written by Brian D. Ripley and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Interscience Paperback Series consists of selected booksthat have been made more accessible to consumers in an effort toincrease global appeal and general circulation. With these newunabridged softcover volumes, Wiley hopes to extend the lives ofthese works by making them available to future generations ofstatisticians, mathematicians, and scientists. "Books such as this that bring together, clarify, and summarizerecent research can lead to a great increase of interest in thearea. . . . a major achievement in describing many aspects ofspatial data and discussing, with examples, different methods ofanalysis." –Royal Statistical Society "Dr. Ripley’s book is an excellent survey of the spatialstatistical methodology. It is very well illustrated with examples[that] give a clear view of the wide scope of the subject, the wayin which techniques often have to be tailored to particularapplications, and the different sorts of spatial data thatarise." –The Bulletin of the London Mathematics Society Spatial Statistics provides a comprehensive guide to theanalysis of spatial data. Each chapter covers a particular dataformat and the associated class of problems, introducing theory,giving computational suggestions, and providing examples. Methodsare illustrated by computer-drawn figures. The book serves as anintroduction to this rapidly growing research area formathematicians and statisticians, and as a reference to newcomputer methods for researchers in ecology, geology, archaeology,and the earth sciences.
Author :
Publisher : Academic Press
ISBN 13 : 9780080860169
Total Pages : 542 pages
Book Rating : 4.8/5 (61 download)
Download or read book Statistical Methods for Physical Science written by and published by Academic Press. This book was released on 1994-12-13 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Methods of Experimental Physics provides an extensive introduction to probability and statistics in many areas of the physical sciences, with an emphasis on the emerging area of spatial statistics. The scope of topics covered is wide-ranging-the text discusses a variety of the most commonly used classical methods and addresses newer methods that are applicable or potentially important. The chapter authors motivate readers with their insightful discussions. Examines basic probability, including coverage of standard distributions, time series models, and Monte Carlo methods Describes statistical methods, including basic inference, goodness of fit, maximum likelihood, and least squares Addresses time series analysis, including filtering and spectral analysis Includes simulations of physical experiments Features applications of statistics to atmospheric physics and radio astronomy Covers the increasingly important area of modern statistical computing
Author : Marc Barthelemy
Publisher : Springer Nature
ISBN 13 : 303094106X
Total Pages : 443 pages
Book Rating : 4.0/5 (39 download)
Download or read book Spatial Networks written by Marc Barthelemy and published by Springer Nature. This book was released on 2022-02-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.
Author : Charles Kittel
Publisher :
ISBN 13 :
Total Pages : 1034 pages
Book Rating : 4.1/5 (144 download)
Download or read book Elementary Statistical Physics written by Charles Kittel and published by . This book was released on 1995 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. M. Guttmann
Publisher : Cambridge University Press
ISBN 13 : 0521621283
Total Pages : 283 pages
Book Rating : 4.5/5 (216 download)
Download or read book The Concept of Probability in Statistical Physics written by Y. M. Guttmann and published by Cambridge University Press. This book was released on 1999-07-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.
Author : G.R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 9401583269
Total Pages : 334 pages
Book Rating : 4.4/5 (15 download)
Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author : Aleksandr Ilʹich Akhiezer
Publisher : Pergamon
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (45 download)
Download or read book Methods of Statistical Physics written by Aleksandr Ilʹich Akhiezer and published by Pergamon. This book was released on 1981 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Statistical Physics is an exposition of the tools of statistical mechanics, which evaluates the kinetic equations of classical and quantized systems. The book also analyzes the equations of macroscopic physics, such as the equations of hydrodynamics for normal and superfluid liquids and macroscopic electrodynamics. The text gives particular attention to the study of quantum systems. This study begins with a discussion of problems of quantum statistics with a detailed description of the basics of quantum mechanics along with the theory of measurement. An analysis of the asymptotic be.
Author : Neri Merhav
Publisher : Now Publishers Inc
ISBN 13 : 1601984065
Total Pages : 224 pages
Book Rating : 4.6/5 (19 download)
Download or read book Statistical Physics and Information Theory written by Neri Merhav and published by Now Publishers Inc. This book was released on 2010 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on lecture notes of a graduate course, which focuses on the relations between information theory and statistical physics. The course was delivered at the Technion during the Spring of 2010 for the first time, and its target audience consists of EE graduate students in the area of communications and information theory, as well as graduate students in Physics who have basic background in information theory. Strong emphasis is given to the analogy and parallelism between information theory and statistical physics, as well as to the insights, the analysis tools and techniques that can be borrowed from statistical physics and 'imported' to certain problem areas in information theory. This is a research trend that has been very active in the last few decades, and the hope is that by exposing the students to the meeting points between these two disciplines, their background and perspective may be expanded and enhanced. This monograph is substantially revised and expanded relative to an earlier version posted in arXiv (1006.1565v1 cs.iT]).
Author : M.N.M. van Lieshout
Publisher : CRC Press
ISBN 13 : 0429628676
Total Pages : 168 pages
Book Rating : 4.4/5 (296 download)
Download or read book Theory of Spatial Statistics written by M.N.M. van Lieshout and published by CRC Press. This book was released on 2019-03-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers. Features * Presents the mathematical foundations of spatial statistics. * Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology. * Gives pointers to the literature to facilitate further study. * Provides example code in R to encourage the student to experiment. * Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.
