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Author : Henri-Pierre Boissières
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.:/5 (261 download)
Download or read book Estimation of the Correlation Structure of Random Fields written by Henri-Pierre Boissières and published by . This book was released on 1992 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erik Vanmarcke
Publisher : World Scientific
ISBN 13 : 9812562974
Total Pages : 363 pages
Book Rating : 4.8/5 (125 download)
Download or read book Random Fields written by Erik Vanmarcke and published by World Scientific. This book was released on 2010 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes.Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be ?both technically interesting and a pleasure to read ? the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science ? and (there is) continued emphasis on describing the mathematics in physical terms.?
Author : Erik Vanmarcke
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101997
Total Pages : 363 pages
Book Rating : 4.8/5 (131 download)
Download or read book Random Fields: Analysis And Synthesis (Revised And Expanded New Edition) written by Erik Vanmarcke and published by World Scientific Publishing Company. This book was released on 2010-07-21 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes.Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be “both technically interesting and a pleasure to read … the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science … and (there is) continued emphasis on describing the mathematics in physical terms.”
Author : Alexander G. Ramm
Publisher : World Scientific
ISBN 13 : 9812565361
Total Pages : 390 pages
Book Rating : 4.8/5 (125 download)
Download or read book Random Fields Estimation written by Alexander G. Ramm and published by World Scientific. This book was released on 2005 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here. No assumption about the Gaussian or Markovian nature of the fields are made. The theory, constructed entirely within the framework of covariance theory, is based on a detailed analytical study of a new class of multidimensional integral equations basic in estimation theory.This book is suitable for graduate courses in random fields estimation. It can also be used in courses in functional analysis, numerical analysis, integral equations, and scattering theory.
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 : André François Cabannes
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.F/5 ( download)
Download or read book Estimation of Random Fields from Network Observations written by André François Cabannes and published by . This book was released on 1979 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alberto Bellin
Publisher :
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (797 download)
Download or read book Numerical Generation of Random Fields with Specified Spatial Correlation Structure written by Alberto Bellin and published by . This book was released on 1991* with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Benjamin Adam Shaby
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.E/5 ( download)
Download or read book Covariance Modeling and Parameter Estimation for Stationary Spatio-temporal Gaussian Random Fields written by Benjamin Adam Shaby and published by . This book was released on 2007 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murray Rosenblatt
Publisher : Birkhäuser
ISBN 13 : 0817632646
Total Pages : 258 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stationary Sequences and Random Fields written by Murray Rosenblatt and published by Birkhäuser. This book was released on 1985-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has a dual purpose. One of these is to present material which selec tively will be appropriate for a quarter or semester course in time series analysis and which will cover both the finite parameter and spectral approach. The second object is the presentation of topics of current research interest and some open questions. I mention these now. In particular, there is a discussion in Chapter III of the types of limit theorems that will imply asymptotic nor mality for covariance estimates and smoothings of the periodogram. This dis cussion allows one to get results on the asymptotic distribution of finite para meter estimates that are broader than those usually given in the literature in Chapter IV. A derivation of the asymptotic distribution for spectral (second order) estimates is given under an assumption of strong mixing in Chapter V. A discussion of higher order cumulant spectra and their large sample properties under appropriate moment conditions follows in Chapter VI. Probability density, conditional probability density and regression estimates are considered in Chapter VII under conditions of short range dependence. Chapter VIII deals with a number of topics. At first estimates for the structure function of a large class of non-Gaussian linear processes are constructed. One can determine much more about this structure or transfer function in the non-Gaussian case than one can for Gaussian processes. In particular, one can determine almost all the phase information.
Author : George Christakos
Publisher : Elsevier
ISBN 13 : 1483288307
Total Pages : 503 pages
Book Rating : 4.4/5 (832 download)
Download or read book Random Field Models in Earth Sciences written by George Christakos and published by Elsevier. This book was released on 2013-10-22 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about modeling as a prinicipal component of scientific investigations. In general terms, modeling is the funamental process of combining intellectual creativity with physical knowledge and mathematical techniques in order to learn the properties of the mechanisms underlying a physical phenomenon and make predictions. The book focuses on a specific class of models, namely, random field models and certain of their physical applications in the context of a stochastic data analysis and processing research program. The term application is considered here in the sense wherein the mathematical random field model is shaping, but is also being shaped by, its objects. This book explores the application of random field models and stochastic data processing to problems in hydrogeology, geostatistics, climate modeling, and oil reservoir engineering, among others Researchers in the geosciences who work with models of natural processes will find discussion of; Spatiotemporal random fields Space transformation Multidimensional estimation Simulation Sampling design Stochastic partial differential equations
Author : Diego Bricio Hern ndez
Publisher : World Scientific
ISBN 13 : 9789810219086
Total Pages : 172 pages
Book Rating : 4.2/5 (19 download)
Download or read book Lectures on Probability and Second Order Random Fields written by Diego Bricio Hern ndez and published by World Scientific. This book was released on 1995 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.The necessary probabilistic background suitable for applied work in engineering as well as signal and image processing is also covered.The book is a valuable guide for higher level engineering students.
Author : John Christopher Driscoll
Publisher : World Bank Publications
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4./5 ( download)
Download or read book Spatial Correlations in Panel Data written by John Christopher Driscoll and published by World Bank Publications. This book was released on 1999 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: December 1995 A correction for spatial correlation in panel data. In many empirical applications involving combined time-series and cross-sectional data, the residuals from different cross-sectional units are likely to be correlated with one another. This is often the case in applications in macroeconomics and international economics where the cross-sectional units may be countries, states, or regions observed over time. Spatial correlations among such cross-sections may arise for a number of reasons, ranging from observed common shocks such as terms of trade or oil shocks, to unobserved contagion or neighborhood effects which propagate across countries in complex ways. Driscoll and Kraay observe that the presence of such spatial correlations in residuals complicates standard inference procedures that combine time-series and cross-sectional data since these techniques typically require the assumption that the cross-sectional units are independent. When this assumption is violated, estimates of standard errors are inconsistent, and hence are not useful for inference. And standard corrections for spatial correlations will be valid only if spatial correlations are of particular restrictive forms. Driscoll and Kraay propose a correction for spatial correlations that does not require strong assumptions concerning their form -- and show that it is superior to a number of commonly used alternatives. This paper -- a product of the Macroeconomics and Growth Division, Policy Research Department -- is part of a larger effort in the department to study international macroeconomics.
Author : Oliver Schabenberger
Publisher : CRC Press
ISBN 13 : 1351991477
Total Pages : 444 pages
Book Rating : 4.3/5 (519 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 444 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 : Alberto Bernal
Publisher : CRC Press
ISBN 13 : 9789054100607
Total Pages : 938 pages
Book Rating : 4.1/5 (6 download)
Download or read book Earthquake Engineering written by Alberto Bernal and published by CRC Press. This book was released on 1992-01-01 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: The official proceedings of the 10th world conference on earthquake engineering in Madrid. Coverage includes damage in recent earthquakes, seismic risk and hazard, site effects, structural analysis and design, seismic codes and standards, urban planning, and expert system application.
Author : Alexander G. Ramm
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Random Fields Estimation Theory written by Alexander G. Ramm and published by Longman Scientific and Technical. This book was released on 1990 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail P. Moklyachuk
Publisher :
ISBN 13 : 9781536132441
Total Pages : 0 pages
Book Rating : 4.1/5 (324 download)
Download or read book Estimates of Periodically Correlated Isotropic Random Fields written by Mikhail P. Moklyachuk and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose results of the investigation of the problem of the mean square optimal estimation of linear functionals which depend on the unknown values of periodically correlated isotropic random fields. Estimates are based on observations of the fields with a noise. Formulas for computing the value of the mean-square errors and the spectral characteristics of the optimal linear estimates of functionals are derived in the case of spectral certainty, where the spectral densities of the fields are exactly known. Formulas that determine the least favorable spectral densities and the minimax-robust spectral characteristics of the optimal estimates of functionals are proposed in the case of spectral uncertainty, where the spectral densities are not exactly known while some sets of admissible spectral densities are specified.
Author : Christian A. Schenk
Publisher : Springer Science & Business Media
ISBN 13 : 9783540253433
Total Pages : 184 pages
Book Rating : 4.2/5 (534 download)
Download or read book Uncertainty Assessment of Large Finite Element Systems written by Christian A. Schenk and published by Springer Science & Business Media. This book was released on 2005-06-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loève expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.
