Modeling And Estimation Of Reciprocal Diffusion And Gauss Markov Random Fields
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Modeling And Estimation Of Reciprocal Diffusion And Gauss Markov Random Fields
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Author : CALIFORNIA UNIV DAVIS.
language : en
Publisher:
Release Date : 1992
Modeling And Estimation Of Reciprocal Diffusion And Gauss Markov Random Fields written by CALIFORNIA UNIV DAVIS. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The basic goal of this research was to develop a theory of second order stochastic differential equations as a class of model for problems of filtering and estimation. This goal has been achieved for both continuous and discrete time linear-Gaussian reciprocal processes.
Gaussian Markov Random Fields
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Author : Håvard Rue
language : en
Publisher: Chapman & Hall/CRC Monographs on Statistics and Applied Probability
Release Date : 2023-01-09
Gaussian Markov Random Fields written by Håvard Rue and has been published by Chapman & Hall/CRC Monographs on Statistics and Applied Probability this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-09 with Gaussian Markov random fields categories.
Gaussian Markov Random Field (GMRF) models, most widely used in spatial statistics are presented in this, the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects.
Random Fields On A Network
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Author : Xavier Guyon
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-06-23
Random Fields On A Network written by Xavier Guyon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-23 with Mathematics categories.
The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order processes. A particular strength of this book is its emphasis on examples - both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.
Markov Random Fields In Image Analysis
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Author : Chaur-Chin Chen
language : en
Publisher:
Release Date : 1988
Markov Random Fields In Image Analysis written by Chaur-Chin Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Computer vision categories.
Markov Random Fields
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Author : Y.A. Rozanov
language : en
Publisher: Springer
Release Date : 2011-10-24
Markov Random Fields written by Y.A. Rozanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Mathematics categories.
In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable" phase state," so that given the state, future behavior does not depend on past behavior. Attempts to translate the Markov property to random functions of multi-dimensional "time," where the role of "past" and "future" are taken by arbitrary complementary regions in an appro priate multi-dimensional time domain have, until comparatively recently, been carried out only in the framework of isolated examples. How the Markov property should be formulated for generalized random functions of several variables is the principal question in this book. We think that it has been substantially answered by recent results establishing the Markov property for a whole collection of different classes of random functions. These results are interesting for their applications as well as for the theory. In establishing them, we found it useful to introduce a general probability model which we have called a random field. In this book we investigate random fields on continuous time domains. Contents CHAPTER 1 General Facts About Probability Distributions §1.
Maximum Likelihood And Restricted Maximum Likelihood Estimation For A Class Of Gaussian Markov Random Fields
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Author : Victor De Oliveira
language : en
Publisher:
Release Date : 2009
Maximum Likelihood And Restricted Maximum Likelihood Estimation For A Class Of Gaussian Markov Random Fields written by Victor De Oliveira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Analysis of variance categories.
This work describes a Gaussian Markov random field model that includes several previously proposed models, and studies properties of their maximum likelihood (ML) and restricted maximum likelihood (REML) estimators in a special case. Specifically, for models where a particular relation holds between the regression and precision matrices of the model, we provide sufficient conditions for existence and uniqueness of ML and REML estimators of the covariance parameters, and provide a straightforward way to compute them. It is found that the ML estimator always exists while the REML estimator may not exist with positive probability. A numerical comparison suggests that for this model ML estimators of covariance parameters have, overall, better frequentist properties than REML estimators.
Modeling Vectorial And Non Gaussian Random Fields On A Sphere
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Author : Minjie Fan
language : en
Publisher:
Release Date : 2017
Modeling Vectorial And Non Gaussian Random Fields On A Sphere written by Minjie Fan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Scalar and vectorial random fields defined on a spherical domain are principal objects of study in many branches of science. Many vector fields are often subject to physical constraints, such as being tangential to a sphere and being curl-free or divergence-free, while many scalar fields exhibit a significant degree of non-Gaussianity. However, existing literature on modeling these two types of random fields is still rare. In this dissertation, we propose new spatial models for random tangential vector fields and scalar non-Gaussian random fields on a sphere. We study properties of the models, and develop efficient estimation and prediction procedures based on maximum likelihood estimation (MLE) and Markov Chain Monte Carlo (MCMC). The accuracy of parameter estimation of the models is investigated, and their predictive performance is compared with existing state-of-the-art models by extensive numerical experiments. We demonstrate practical utility of the models through applications to data sets of ocean surface wind fields and high-latitude ionospheric electrostatic potentials.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1993
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Aeronautics categories.
Government Reports Annual Index
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Author :
language : en
Publisher:
Release Date : 1993
Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Government reports announcements & index categories.
Journal Of Mathematical Systems Estimation And Control
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Author :
language : en
Publisher:
Release Date : 1992
Journal Of Mathematical Systems Estimation And Control written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Control theory categories.