Estimation Of Random Fields From Network Observations PDF Download
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Total Pages | : |
Release | : 1979 |
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Download Estimation of Random Fields from Network Observations. Technical Report Book in PDF, ePub and Kindle
When one has observed a random field Z at some points and recorded its values (network observations), a natural problem is to estimate Z at points where there are no observations. This dissertation deals first with this problem in an abstract setting, in m dimensions; later, it considers the estimation of a spatial two-dimensional random field. The problem then is one of constructing an estimated map of Z over a geographic area. For a given network of stations the quality of a map depends on the method of estimation. But for the given method of estimation the quality of a map depends on the choice of locations for the stations. This is the problem of network design. Both the study of methods of estimation and the problem of network design are addressed. 16 figures. (RWR).
Author | : André François Cabannes |
Publisher | : |
Total Pages | : 272 |
Release | : 1979 |
Genre | : Estimation theory |
ISBN | : |
Download Estimation of Random Fields from Network Observations Book in PDF, ePub and Kindle
Author | : Xavier Guyon |
Publisher | : Springer Science & Business Media |
Total Pages | : 294 |
Release | : 1995-06-23 |
Genre | : Mathematics |
ISBN | : 9780387944289 |
Download Random Fields on a Network Book in PDF, ePub and Kindle
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.
Author | : Dionissios T. Hristopulos |
Publisher | : Springer Nature |
Total Pages | : 884 |
Release | : 2020-02-17 |
Genre | : Science |
ISBN | : 9402419187 |
Download Random Fields for Spatial Data Modeling Book in PDF, ePub and Kindle
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 | : Werner G. Müller |
Publisher | : Springer Science & Business Media |
Total Pages | : 250 |
Release | : 2007-08-17 |
Genre | : Business & Economics |
ISBN | : 3540311750 |
Download Collecting Spatial Data Book in PDF, ePub and Kindle
The book is concerned with the statistical theory for locating spatial sensors. It bridges the gap between spatial statistics and optimum design theory. After introductions to those two fields the topics of exploratory designs and designs for spatial trend and variogram estimation are treated. Special attention is devoted to describing new methodologies to cope with the problem of correlated observations.
Author | : Pooi Y. Kam |
Publisher | : |
Total Pages | : 33 |
Release | : 1977 |
Genre | : |
ISBN | : |
Download Estimation of Time-Invariant Random Fields Via Observations from a Moving Point Sensor Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 836 |
Release | : 1994 |
Genre | : Aeronautics |
ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, ePub and Kindle
Author | : Wolfgang Näther |
Publisher | : |
Total Pages | : 192 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : |
Download Effective Observation of Random Fields Book in PDF, ePub and Kindle
Author | : Alexander G. Ramm |
Publisher | : World Scientific |
Total Pages | : 390 |
Release | : 2005 |
Genre | : Technology & Engineering |
ISBN | : 9812565361 |
Download Random Fields Estimation Book in PDF, ePub and Kindle
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 | : |
Publisher | : |
Total Pages | : 806 |
Release | : 1979 |
Genre | : Power resources |
ISBN | : |
Download Energy Research Abstracts Book in PDF, ePub and Kindle