Stochastic Models For Geodesy And Geoinformation Science
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Stochastic Models For Geodesy And Geoinformation Science
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Author : Frank Neitzel
language : en
Publisher: MDPI
Release Date : 2021-02-12
Stochastic Models For Geodesy And Geoinformation Science written by Frank Neitzel and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-12 with Technology & Engineering categories.
In geodesy and geoinformation science, as well as in many other technical disciplines, it is often not possible to directly determine the desired target quantities. Therefore, the unknown parameters must be linked with the measured values by a mathematical model which consists of the functional and the stochastic models. The functional model describes the geometrical–physical relationship between the measurements and the unknown parameters. This relationship is sufficiently well known for most applications. With regard to the stochastic model, two problem domains of fundamental importance arise: 1. How can stochastic models be set up as realistically as possible for the various geodetic observation methods and sensor systems? 2. How can the stochastic information be adequately considered in appropriate least squares adjustment models? Further questions include the interpretation of the stochastic properties of the computed target values with regard to precision and reliability and the use of the results for the detection of outliers in the input data (measurements). In this Special Issue, current research results on these general questions are presented in ten peer-reviewed articles. The basic findings can be applied to all technical scientific fields where measurements are used for the determination of parameters to describe geometric or physical phenomena.
Stochastic Models For Geodesy And Geoinformation Science
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Author : Frank Neitzel
language : en
Publisher:
Release Date : 2021
Stochastic Models For Geodesy And Geoinformation Science written by Frank Neitzel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
In geodesy and geoinformation science, as well as in many other technical disciplines, it is often not possible to directly determine the desired target quantities. Therefore, the unknown parameters must be linked with the measured values by a mathematical model which consists of the functional and the stochastic models. The functional model describes the geometrical-physical relationship between the measurements and the unknown parameters. This relationship is sufficiently well known for most applications. With regard to the stochastic model, two problem domains of fundamental importance arise: 1. How can stochastic models be set up as realistically as possible for the various geodetic observation methods and sensor systems? 2. How can the stochastic information be adequately considered in appropriate least squares adjustment models? Further questions include the interpretation of the stochastic properties of the computed target values with regard to precision and reliability and the use of the results for the detection of outliers in the input data (measurements). In this Special Issue, current research results on these general questions are presented in ten peer-reviewed articles. The basic findings can be applied to all technical scientific fields where measurements are used for the determination of parameters to describe geometric or physical phenomena.
Mathematical Geosciences
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Author : Joseph L. Awange
language : en
Publisher: Springer Nature
Release Date : 2023-04-07
Mathematical Geosciences written by Joseph L. Awange and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Science categories.
This second edition of Mathematical Geosciences book adds five new topics: Solution equations with uncertainty, which proposes two novel methods for solving nonlinear geodetic equations as stochastic variables when the parameters of these equations have uncertainty characterized by probability distribution. The first method, an algebraic technique, partly employs symbolic computations and is applicable to polynomial systems having different uncertainty distributions of the parameters. The second method, a numerical technique, uses stochastic differential equation in Ito form; Nature Inspired Global Optimization where Meta-heuristic algorithms are based on natural phenomenon such as Particle Swarm Optimization. This approach simulates, e.g., schools of fish or flocks of birds, and is extended through discussion of geodetic applications. Black Hole Algorithm, which is based on the black hole phenomena is added and a new variant of the algorithm code is introduced and illustrated based on examples; The application of the Gröbner Basis to integer programming based on numeric symbolic computation is introduced and illustrated by solving some standard problems; An extension of the applications of integer programming solving phase ambiguity in Global Navigation Satellite Systems (GNSSs) is considered as a global quadratic mixed integer programming task, which can be transformed into a pure integer problem with a given digit of accuracy. Three alternative algorithms are suggested, two of which are based on local and global linearization via McCormic Envelopes; and Machine learning techniques (MLT) that offer effective tools for stochastic process modelling. The Stochastic Modelling section is extended by the stochastic modelling via MLT and their effectiveness is compared with that of the modelling via stochastic differential equations (SDE). Mixing MLT with SDE also known as frequently Neural Differential Equations is also introduced and illustrated by an image classification via a regression problem.
Stochastic Models In Geosystems
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Author : Stanislav A. Molchanov
language : en
Publisher: Springer
Release Date : 2011-11-12
Stochastic Models In Geosystems written by Stanislav A. Molchanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-12 with Science categories.
This IMA Volume in Mathematics and its Applications STOCHASTIC MODELS IN GEOSYSTEMS is based on the proceedings of a workshop with the same title and was an integral part of the 1993-94 IMA program on "Emerging Applications of Probability." We would like to thank Stanislav A. Molchanov and Wojbor A. Woyczynski for their hard work in organizing this meeting and in edit ing the proceedings. We also take this opportunity to thank the National Science Foundation, the Office of N aval Research, the Army Research Of fice, and the National Security Agency, whose financial support made this workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE A workshop on Stochastic Models in Geosystems was held during the week of May 16, 1994 at the Institute for Mathematics and Its Applica tions at the University of Minnesota. It was part of the Special Year on Emerging Applications of Prob ability program put together by an organiz ing committee chaired by J. Michael Steele. The invited speakers represented a broad interdisciplinary spectrum including mathematics, statistics, physics, geophysics, astrophysics, atmo spheric physics, fluid mechanics, seismology, and oceanography. The com mon underlying theme was stochastic modeling of geophysical phenomena and papers appearing in this volume reflect a number of research directions that are currently pursued in these areas.
Gps Stochastic Modelling
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Author : Xiaoguang Luo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-06
Gps Stochastic Modelling written by Xiaoguang Luo 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 2013-07-06 with Technology & Engineering categories.
Global Navigation Satellite Systems (GNSS), such as GPS, have become an efficient, reliable and standard tool for a wide range of applications. However, when processing GNSS data, the stochastic model characterising the precision of observations and the correlations between them is usually simplified and incomplete, leading to overly optimistic accuracy estimates. This work extends the stochastic model using signal-to-noise ratio (SNR) measurements and time series analysis of observation residuals. The proposed SNR-based observation weighting model significantly improves the results of GPS data analysis, while the temporal correlation of GPS observation noise can be efficiently described by means of autoregressive moving average (ARMA) processes. Furthermore, this work includes an up-to-date overview of the GNSS error effects and a comprehensive description of various mathematical methods.
Selected Topics On Stochastic Modelling
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Author : Mariano J Valderrama Bonnet
language : en
Publisher: World Scientific
Release Date : 1994-09-30
Selected Topics On Stochastic Modelling written by Mariano J Valderrama Bonnet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-30 with categories.
This volume contains a selection of papers on recent developments in fields such as stochastic processes, multivariate data analysis and stochastic models in operations research, earth and life sciences and information theory, from an applicative perspective. Some of them have been extracted from lectures given at the Department of Statistics and Operations Research at the University of Granada for the past two years (Kai Lai Chung and Marcel F Neuts, among others). All the papers have been carefully selected and revised.
X Hotine Marussi Symposium On Mathematical Geodesy
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Author : Jeffrey T. Freymueller
language : en
Publisher: Springer Nature
Release Date :
X Hotine Marussi Symposium On Mathematical Geodesy written by Jeffrey T. Freymueller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Stochastic Models In Geosystems
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Author : Stanislav A. Molchanov
language : en
Publisher: Springer
Release Date : 1997
Stochastic Models In Geosystems written by Stanislav A. Molchanov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This volume contains edited proceedings of a workshop on Stochastic Models in Geosystems held at the Institute for Mathematics and Its Applications at the University of Minnesota. The authors represent a broad interdisciplinary spectrum including mathematics, statistics, physics, geophysics, astrophysics, atmospheric physics, fluid mechanics, seismology, and oceanography.
Geoinformatics
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Author : Markus Penzkofer
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-01-05
Geoinformatics written by Markus Penzkofer and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-05 with Science categories.
In this manuscript some theoretical background and interrelations of Geoinformatics shall be assembled. Also the most important formulae of Mathematics, Surveying, Geodesy and Cartography will be presented in short. Besides these provinces of course Informatics builds a very important part of Geographic Information Systems. In a closing chapter all basic knowledge will be combined to a short overview over Geoinformatics, where especially modelling, extensions, specializations and analysis of Geoinformatics are shown. The open source GIS application MensorGIS, written by the author, implements the described topics in source code and functionality. A final chapter refers to this program, showing where the basic principles can be found. In addition Adjustment Computation, a matter relevant in all parts of Surveying and Geodesy, is presented including samples. A Geoinformatics - from Theory to the Application 1 Introduction 2 Overview over the Basic Knowledge of Geoinformatics 3 Basics of Mathematics 4 Basic Calculations of Surveying 5 Basic Calculations of Geodesy 6 Basics of Cartography and Photogrammetry 7 Basics of Informatics 8 Geoinformatics 9 Practical Application in MensorGIS B Statistics and Adjustment Computations 1 Introduction 2 Basics of Statistics 3 Basics of Matrix Calculation 4 Adjustment Computation 5 Application of Adjustment Computation With extensive appendices and index. The Book should be read by students approaching advanced lectures with the focus on Geoinformatics. Also recommended for career changers, who want to learn more about the geodetic background of Geographic Information Systems.
Interfacing Geostatstics And Gis
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Author : Juergen Pilz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-11
Interfacing Geostatstics And Gis written by Juergen Pilz 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 2008-12-11 with Science categories.
The present volume contains contributions of internationally renowned authors to the theme of interfacing between geostatistics, geoinformation systems and spatial data base management systems. Although some progress has been made toward interfacing, there is still only little overlap between the different communities. The present volume is intended to provide a bridge between specialists working in these areas. The volume first surveys new methodological developments in geostatistics, and then reports on applications in traditional areas of geo-and environmental sciences and novel application.