Applications of Linear and Nonlinear Models: Fixed Effects, Random Effects, and Total Least Squares

Author:   Erik W. Grafarend ,  Silvelyn Zwanzig ,  Joseph L. Awange
Publisher:   Springer Nature Switzerland AG
Edition:   2nd ed. 2022
ISBN:  

9783030946005


Pages:   1113
Publication Date:   03 October 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Applications of Linear and Nonlinear Models: Fixed Effects, Random Effects, and Total Least Squares


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Author:   Erik W. Grafarend ,  Silvelyn Zwanzig ,  Joseph L. Awange
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   2nd ed. 2022
Weight:   2.097kg
ISBN:  

9783030946005


ISBN 10:   3030946002
Pages:   1113
Publication Date:   03 October 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

The First Problem of Algebraic Regression.- The First problem of probabilistic regression - the bias problem.- The second problem of algebraic regression - inconsistent system of linear observational equations.- The second problem of probabilistic regression- special Gauss-Markov model without datum defect - Setup of BLUUE for the moments of first order and of BIQUUE for the central moment of second order.- The third problem of probabilistic regression - special Gauss - Markov model with datum problem -Setup of BLUMBE and BLE for the moments of first order and of BIQUUE and BIQE for the central moment of second order.

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Author Information

Silvelyn Zwanzig is Professor of Mathematical Statistics at Uppsala University. She studied Mathematics at the Humboldt-University in Berlin and received her Ph.D. in Mathematics at the Academy of Science of the GDR, in 1984. She completed her habilitation in Mathematics at the University of Hamburg in 1998, where she continued to work as Assistant Professor, and concurrently also in Astrometry. In her habilitation she studied asymptotic properties of the total least squares estimator in nonlinear models. In 2000 she moved to Sweden where she has been working at Uppsala University. Her research interests have moved from theoretical and asymptotic statistics to computer intensive methods. Since 1991, she has taught Statistics to undergraduate and graduate students.Professor Joseph Awange joined Spatial Sciences (School of Earth and Planetary Sciences, Curtin University, Australia) in 2006 under a Curtin Research Fellowship and concurrently undertook the prestigious Alexander vonHumboldt (AvH) Fellowship at the Geodetic Institute (Karlsruhe Institute of Technology, Germany) having been awarded the Australian 2008–2011 Ludwig Leichhardt Memorial Fellowship for experienced researchers. In 2015, he won all the three major Fellowship Awards: Alexander von Humboldt (Germany), Japan Society of Promotion of Science (Japan) and Brazil Frontier of Science (Brazil) to carry out research in those countries. At Curtin University, he is currently a Professor of Environmental Geoinformatics engaged in teaching and research having attracted more than $2.5M worth of research grants. He obtained his BSc and MSc degrees in Surveying from the University of Nairobi (Kenya), and was also awarded a merit scholarship by the German Academic Exchange Program (DAAD), which facilitated his obtaining a second MSc degree and PhD in Geodesy at Stuttgart University (Germany). In 2002–2004, he was awarded the prestigious Japan Society for Promotion of Science (JSPS) Fellowship to pursue postdoctoral research at Kyoto University (Japan).  Prof Awange attained International Editorial role in Springer Earth Science Books and has authored more than 20 scholarly books with the prestigious Springer International publishers and more than 200 peer-reviewed high impact journal publications (in e.g., Remote Sensing of Environment, Journal of Climate, Climatic Change, Advances in Water Resources, International Journal of Climatology, and Journal of Hydrology among others). His main research areas that have attracted media coverage (e.g., Environmental Monitor) are in the fields of (i) Environmental Geoinformatics: Satellite Environmental Sensing (e.g., changes in global and regional stored water (surface, underground, ice, and soil moisture) using GRACE/GRACE-FO and TRMM satellites; Climate Change using GNSS and altimetry satellites), which is employed to face the emerging challenges of the 21st century posed by increased extreme hydroclimatic conditions, e.g., severity and frequency of droughts in Australia and Greater Horn of Africa (GHA), and the changing monsoon characteristics in Asia and Africa leading to floods, and (ii) Mathematical Geosciences: Hybrid-symbolic solutions that delivers hybrid symbolic-numeric computations (HSNC), which is a large and growing area at the boundary of mathematics and computer science and currently an active area of research.

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