Download or read book Bayesian Inference with Geodetic Applications written by Karl-Rudolf Koch and published by Springer. This book was released on 2006-04-11 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Parameter Estimation and Hypothesis Testing in Linear Models written by Karl-Rudolf Koch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geodesy the Challenge of the 3rd Millennium written by Erik Grafarend and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geodesy as the science which determines the figure of the earth, its orientation in space and its gravity field as well as its temporal changes, produces key elements in describing the kinematics and the dynamics of the deformable body "earth". It contributes in particular to geodynamics and opens the door to decode the complex interactions between components of "the system earth". In the breathtaking development recently a whole arsenal of new terrestrial, airborne as well as satelliteborne measurement techniques for earth sciences have been made available and have broadened the spectrum of measurable earth parameters with an unforeseen accuracy and precision, in particular to resolve the factor time. The book focusses on these topics and gives a state of the art of modern geodesy.
Download or read book Applications of Linear and Nonlinear Models written by Erik W. Grafarend and published by Springer Nature. This book was released on 2022-10-01 with total page 1127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides numerous examples of linear and nonlinear model applications. Here, we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view and a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss–Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters, we concentrate on underdetermined and overdetermined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE, and total least squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so-called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann–Plucker coordinates, criterion matrices of type Taylor–Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overjet. This second edition adds three new chapters: (1) Chapter on integer least squares that covers (i) model for positioning as a mixed integer linear model which includes integer parameters. (ii) The general integer least squares problem is formulated, and the optimality of the least squares solution is shown. (iii) The relation to the closest vector problem is considered, and the notion of reduced lattice basis is introduced. (iv) The famous LLL algorithm for generating a Lovasz reduced basis is explained. (2) Bayes methods that covers (i) general principle of Bayesian modeling. Explain the notion of prior distribution and posterior distribution. Choose the pragmatic approach for exploring the advantages of iterative Bayesian calculations and hierarchical modeling. (ii) Present the Bayes methods for linear models with normal distributed errors, including noninformative priors, conjugate priors, normal gamma distributions and (iii) short outview to modern application of Bayesian modeling. Useful in case of nonlinear models or linear models with no normal distribution: Monte Carlo (MC), Markov chain Monte Carlo (MCMC), approximative Bayesian computation (ABC) methods. (3) Error-in-variables models, which cover: (i) Introduce the error-in-variables (EIV) model, discuss the difference to least squares estimators (LSE), (ii) calculate the total least squares (TLS) estimator. Summarize the properties of TLS, (iii) explain the idea of simulation extrapolation (SIMEX) estimators, (iv) introduce the symmetrized SIMEX (SYMEX) estimator and its relation to TLS, and (v) short outview to nonlinear EIV models. The chapter on algebraic solution of nonlinear system of equations has also been updated in line with the new emerging field of hybrid numeric-symbolic solutions to systems of nonlinear equations, ermined system of nonlinear equations on curved manifolds. The von Mises–Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter is devoted to probabilistic regression, the special Gauss–Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra, and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger algorithm, especially the C. F. Gauss combinatorial algorithm.
Download or read book Coastal Erosion written by Roger H. Charlier and published by Springer. This book was released on 2006-04-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coastal zone is subject to strong pressures from a large number of users. Populations are migrating to it in large numbers. Industry wants to exploit it for its space, water and manpower. Aggregate miners want to exploit mineral resources and health centers are multiplying. It is a favorite area for tourism and recreation worldwide. The zone can boom economically. However, coastlines are progressively receding worldwide, making the zone fragile, vulnerable, and unstable. The book presents methods of coastal protection and beach restoration and offers solutions to the various problems.
Download or read book Earth Gravity Field from Space from Sensors to Earth Sciences written by G. Beutler and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume resulting from an ISSI Workshop, 11-15 March 2002, Bern, Switzerland
Download or read book Impact Stratigraphy written by Alessandro Montanari and published by Springer. This book was released on 2006-04-10 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general introduction to impact stratigraphy, with emphasis on the recognition of distal impact ejecta in the field, by focusing on the impactoclastic layers of the Umbria-Marche sequence in Central Italy, with an almost perfect stratigraphic record over the last 200 Million years. A general introduction to impact cratering and a discussion of distal ejecta and impact layers around the world is followed by a detailed description of the record of the impact of extraterrestrial bodies in sediments of the Umbria-Marche Apennines. The volume is of interest to a diverse audience in the geological and planetary sciences, ranging from (upper) undergraduate to research level. This book can also be used by students and researchers as a field guide to some of the most important Italian impact layers.
Download or read book Wavelets in the Geosciences written by Roland Klees and published by Springer Science & Business Media. This book was released on 2000-03-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.
Download or read book Carbonate Platform Slopes A Record of Changing Conditions written by Hildegard Westphal and published by Springer. This book was released on 2008-01-03 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periplatform slope sediments from the Bahamas serve as an example for a small-scale sedimentologic record of environmental changes. Carbonate platforms react sensitively to sea-level fluctuations. Therefore, sediments deposited on the slope during lowstands differ in composition from highstand deposits. A second focus is the early diagenetic alteration and cementation of these sediments with their high diagenetic potential. This book contributes to and discusses new developments in carbonate sedimentology such as the concepts of highstand shedding and early burial diagenesis, which also have an impact on reservoir studies.
Download or read book V Hotine Marussi Symposium on Mathematical Geodesy written by Fernando Sansò and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just as in the era of great achievements by scientists such as Newton and Gauss, the mathematical theory of geodesy is continuing the tradition of producing exciting theoretical results, but today the advances are due to the great technological push in the era of satellites for earth observations and large computers for calculations. Every four years a symposium on methodological matters documents this ongoing development in many related underlying areas such as estimation theory, stochastic modelling, inverse problems, and satellite-positioning global-reference systems. This book presents developments in geodesy and related sciences, including applied mathematics, among which are many new results of high intellectual value to help readers stay on top of the latest happenings in the field.
Download or read book Learning Control written by Dan Zhang and published by Elsevier. This book was released on 2020-12-05 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Control: Applications in Robotics and Complex Dynamical Systems provides a foundational understanding of control theory while also introducing exciting cutting-edge technologies in the field of learning-based control. State-of-the-art techniques involving machine learning and artificial intelligence (AI) are covered, as are foundational control theories and more established techniques such as adaptive learning control, reinforcement learning control, impedance control, and deep reinforcement control. Each chapter includes case studies and real-world applications in robotics, AI, aircraft and other vehicles and complex dynamical systems. Computational methods for control systems, particularly those used for developing AI and other machine learning techniques, are also discussed at length. - Provides foundational control theory concepts, along with advanced techniques and the latest advances in adaptive control and robotics - Introduces state-of-the-art learning-based control technologies and their applications in robotics and other complex dynamical systems - Demonstrates computational techniques for control systems - Covers iterative learning impedance control in both human-robot interaction and collaborative robots
Download or read book Reactive Flow Modeling of Hydrothermal Systems written by Michael Kühn and published by Springer. This book was released on 2004-03-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces the topic of geochemical modeling of fluids in subsurface and hydrothermal systems. The intention is to serve as a textbook for graduate students in aqueous, environmental and groundwater geochemistry, despite the fact that its focus is on the special topic of geochemistry in hydrothermal systems, it also provides new insights for experienced researchers with respect to the topic of reactive transport. The overall purpose is to give the reader an understanding of the processes that control the chemical composition of waters in hydrothermal systems and to highlight the interfaces between chemistry, geothermics and hydrogeology. From the reviews: "..is a nice, compact introduction to the principles of modeling coupled fluid flow and fluid-mineral reactions in active geothermal systems, as used for heating and electricity generation." ( Christoph A. Heinrich, ECONOMIC GEOLOGY, June 2004)
Download or read book Enhanced Quality of Life and Smart Living written by Mounir Mokhtari and published by Springer. This book was released on 2017-08-21 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Smart Homes and Health Telematics, ICOST 2017, held in Paris, France, in August 2017. The 18 regular papers, 5 short papers together with 2 invited talks included in this volume were carefully reviewed and selected from numerous submissions. The conference features a dynamic program incorporating a range of design, development, deployment and evaluation of Smart Urban Environments, Assistive Technologies, Chronic Disease Management, Coaching and Health Telematics systems.
Download or read book Networked Systems written by Mohamed Faouzi Atig and published by Springer Nature. This book was released on 2019-09-13 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the revised selected papers of the 7th International Conference on Networked Systems, NETYS 2019, held in Marrakech, Morocco, in June 2019. The 23 revised full papers and 3 short papers presented were carefully reviewed and selected from 60 submissions. The papers are organized in the following topics: formal verification, distributed systems, security, concurrency, and networks.
Download or read book Kinematics and Dynamics of Galactic Stellar Populations written by Rafael Cubarsi and published by Cambridge Scholars Publishing. This book was released on 2018-07-27 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stellar dynamics is an interdisciplinary field where mathematics, statistics, physics, and astronomy overlap. The approaches to studying a stellar system include dealing with the collisionless Boltzmann equation, the Chandrasekhar equations, and stellar hydrodynamic equations, which are comparable to the equations of motion of a compressible viscous fluid. Their equivalence gives rise to the closure problem, connected with the higher-order moments of the stellar velocity distribution, which is explained and solved for maximum entropy distributions and for any velocity distribution function, depending on a polynomial function in the velocity variables. On the other hand, the Milky Way kinematics in the solar neighbourhood needs to be described as a mixture distribution accounting for the stellar populations composing the Galactic components. As such, the book offers a statistical study, according to the moments and cumulants of a population mixture, and a dynamical approach, according to a superposition of Chandrasekhar stellar systems, connected with the potential function and the symmetries of the model.
Download or read book PRICAI 2019 Trends in Artificial Intelligence written by Abhaya C. Nayak and published by Springer Nature. This book was released on 2019-08-23 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume set, LNAI 11670, LNAI 11671, and LNAI 11672 constitutes the thoroughly refereed proceedings of the 16th Pacific Rim Conference on Artificial Intelligence, PRICAI 2019, held in Cuvu, Yanuca Island, Fiji, in August 2019. The 111 full papers and 13 short papers presented in these volumes were carefully reviewed and selected from 265 submissions. PRICAI covers a wide range of topics such as AI theories, technologies and their applications in the areas of social and economic importance for countries in the Pacific Rim.
Download or read book Applications of Linear and Nonlinear Models written by Erik Grafarend and published by Springer Science & Business Media. This book was released on 2012-08-15 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view as well as a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss-Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters we concentrate on underdetermined and overdeterimined linear systems as well as systems with a datum defect. We review estimators/algebraic solutions of type MINOLESS, BLIMBE, BLUMBE, BLUUE, BIQUE, BLE, BIQUE and Total Least Squares. The highlight is the simultaneous determination of the first moment and the second central moment of a probability distribution in an inhomogeneous multilinear estimation by the so called E-D correspondence as well as its Bayes design. In addition, we discuss continuous networks versus discrete networks, use of Grassmann-Pluecker coordinates, criterion matrices of type Taylor-Karman as well as FUZZY sets. Chapter seven is a speciality in the treatment of an overdetermined system of nonlinear equations on curved manifolds. The von Mises-Fisher distribution is characteristic for circular or (hyper) spherical data. Our last chapter eight is devoted to probabilistic regression, the special Gauss-Markov model with random effects leading to estimators of type BLIP and VIP including Bayesian estimation. A great part of the work is presented in four Appendices. Appendix A is a treatment, of tensor algebra, namely linear algebra, matrix algebra and multilinear algebra. Appendix B is devoted to sampling distributions and their use in terms of confidence intervals and confidence regions. Appendix C reviews the elementary notions of statistics, namely random events and stochastic processes. Appendix D introduces the basics of Groebner basis algebra, its careful definition, the Buchberger Algorithm, especially the C. F. Gauss combinatorial algorithm.
