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Author: Ludmila Kubáčková
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 448
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Book Description
The purpose of data processing is to obtain in explicit form maximum information on the object of the data measurements. This is accomplished by the use of suitable models based on the most up-to-date knowledge of the theory of probability and mathematical statistics. The need to constantly improve models for processing data sets is stimulated by the rapid development of geodetic and geophysical measurement techniques on the one hand and the possibilities of contemporary computer techniques on the other. The reasons for the incessant improvement of mathematical models are both gnostic and economic; experiments in particular are time-consuming and expensive to prepare and carry out; moreover, they may be unique and impossible to repeat. To develop an effective method for preparing such experiments and a correct procedure for processing the results is a theoretically exacting, although least costly, part of the whole process of preparation, realization and the evaluation of the measurements. The purpose of this book is to acquaint the reader with the mathematical methods in use at present, including those being developed and applied in advanced geodetic and geophysical centres.
Author: Ludmila Kubáčková
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 448
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Book Description
The purpose of data processing is to obtain in explicit form maximum information on the object of the data measurements. This is accomplished by the use of suitable models based on the most up-to-date knowledge of the theory of probability and mathematical statistics. The need to constantly improve models for processing data sets is stimulated by the rapid development of geodetic and geophysical measurement techniques on the one hand and the possibilities of contemporary computer techniques on the other. The reasons for the incessant improvement of mathematical models are both gnostic and economic; experiments in particular are time-consuming and expensive to prepare and carry out; moreover, they may be unique and impossible to repeat. To develop an effective method for preparing such experiments and a correct procedure for processing the results is a theoretically exacting, although least costly, part of the whole process of preparation, realization and the evaluation of the measurements. The purpose of this book is to acquaint the reader with the mathematical methods in use at present, including those being developed and applied in advanced geodetic and geophysical centres.
Author: Lubomír Kubáček
Publisher:
ISBN: 9788085881318
Category : Geodesy
Languages : en
Pages : 285
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Book Description
Author: Jean-Philippe Montillet
Publisher: Springer
ISBN: 3030217183
Category : Science
Languages : en
Pages : 422
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Book Description
This book provides an essential appraisal of the recent advances in technologies, mathematical models and computational software used by those working with geodetic data. It explains the latest methods in processing and analyzing geodetic time series data from various space missions (i.e. GNSS, GRACE) and other technologies (i.e. tide gauges), using the most recent mathematical models. The book provides practical examples of how to apply these models to estimate seal level rise as well as rapid and evolving land motion changes due to gravity (ice sheet loss) and earthquakes respectively. It also provides a necessary overview of geodetic software and where to obtain them.
Author: Vladimir Troyan
Publisher: World Scientific
ISBN: 981429375X
Category : Science
Languages : en
Pages : 454
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Book Description
This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.
Author: Karl-Rudolf Koch
Publisher: Springer
ISBN: 3540466010
Category : Science
Languages : en
Pages : 205
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Book Description
This introduction to Bayesian inference places special emphasis on applications. All basic concepts are presented: Bayes' theorem, prior density functions, point estimation, confidence region, hypothesis testing and predictive analysis. In addition, Monte Carlo methods are discussed since the applications mostly rely on the numerical integration of the posterior distribution. Furthermore, Bayesian inference in the linear model, nonlinear model, mixed model and in the model with unknown variance and covariance components is considered. Solutions are supplied for the classification, for the posterior analysis based on distributions of robust maximum likelihood type estimates, and for the reconstruction of digital images.
Author: Christopher Jekeli
Publisher: CRC Press
ISBN: 1482245264
Category : Mathematics
Languages : en
Pages : 431
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Book Description
The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.
Author: Gabriel Weiss
Publisher: Springer
ISBN: 3319284576
Category : Science
Languages : en
Pages : 124
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Book Description
This work deals with the issue of geodetic network structures, i.e. methods of verifying the condition of existing geodetic controls in terms of their compatibility and thereby their applicability. The presented work addresses these problems only for geodetic controls on a local scale. This is a common surveying issue in a number of countries, especially where there are concerns about the quality of the structure and homogeneity of national spatial and triangulation networks. There is a need for verification, not only for the use of terrestrial methods of determination of points but also for other surveying technology, since all technology operates with a certain threshold accuracy and using physical marks located on an unstable earth surface as survey control points. Issues of the compatibility of points whose coordinates are defined as functions of time by specific equations with respect to basal positions of points at certain epochs (points in systems ITRS, ETRS and others) are not considered.
Author: Karl-Rudolf Koch
Publisher: Springer Science & Business Media
ISBN: 3662039761
Category : Mathematics
Languages : en
Pages : 344
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Book Description
A treatment of estimating unknown parameters, testing hypotheses and estimating confidence intervals in linear models. Readers will find here presentations of the Gauss-Markoff model, the analysis of variance, the multivariate model, the model with unknown variance and covariance components and the regression model as well as the mixed model for estimating random parameters. A chapter on the robust estimation of parameters and several examples have been added to this second edition. The necessary theorems of vector and matrix algebra and the probability distributions of test statistics are derived so as to make this book self-contained. Geodesy students as well as those in the natural sciences and engineering will find the emphasis on the geodetic application of statistical models extremely useful.
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2154
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Book Description
A world list of books in the English language.
Author: Pavel Novák
Publisher: Springer Nature
ISBN: 303054267X
Category : Science
Languages : en
Pages : 256
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Book Description
This volume gathers the proceedings of the IX Hotine-Marussi Symposium on Mathematical Geodesy, which was held from 18 to 22 June 2018 at the Faculty of Civil and Industrial Engineering, Sapienza University of Rome, Italy. Since 2006, the Hotine-Marussi Symposia series has been produced under the auspices of the Inter-Commission Committee on Theory (ICCT) within the International Association of Geodesy (IAG). The ICCT has organized the last four Hotine-Marussi Symposia, held in Wuhan (2006) and Rome (2009, 2013 and 2018). The overall goal of the ICCT and Hotine-Marussi Symposia has always been to advance geodetic theory, as reflected in the 25 peer-reviewed research articles presented here. The IX Hotine-Marussi Symposium was divided into 10 topical sessions covering all aspects of geodetic theory including reference frames, gravity field modelling, adjustment theory, atmosphere, time series analysis and advanced numerical methods. In total 118 participants attended the Symposium and delivered 82 oral and 37 poster presentations. During a special session at the Accademia Nazionale deiLincei, the oldest scientific academy in the world, six invited speakers discussed interactions of geodesy with oceanography, glaciology, atmospheric research, mathematics, Earth science and seismology.
