Data Fitting and Uncertainty

A practical introduction to weighted least squares and beyond

(Autor)

Buch | Softcover
XV, 281 Seiten
2015 | 2nd revised and extended ed. 2016
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-11455-8 (ISBN)
117,69 inkl. MwSt
Suitable for beginners in this field

The primary goal of this book is to provide a recipe explaining the functioning of data fitting via least squares and the emphasis here is on practical matters, not on theoretical problems. In addition, the book enables the reader to design own software implementation with application-specific model functions based on the comprehensive discussion of several examples. It includes a self-contained introduction and presents the method in a logical and accessible fashion. The subject of data fitting bridges many disciplines, especially those dealing traditionally with statistics as, for instance, physics, mathematics, engineering, biology, economy, or psychology, but also more recent fields as computer vision. This book is addressed to engineers and computer scientists or corresponding undergraduates, which are interested in data fitting by the method of least-squares approximation, but have no or only limited pre-knowledge in this field. Experienced readers will find new details and interpretations or might appreciate the book as useful reference. The text is accompanied with working source code in ANSI-C for the fitting with weighted least squares including outlier detection.

Dr.-Ing. habil. Tilo Strutz is professor at Leipzig University of Telecommunications (Deutsche Telekom). His expertise is ranging from general signal processing to special problems of image processing and data compression.

Framework of Least-Squares Method.- Introduction to Data-Fitting Problems.- Estimation of Model Parameters by the Method of Least Squares.- Weights and Outliers.- Uncertainty of Results.- Mathematics, Optimisation Methods, and Add ons.- Matrix Algebra.- The Idea behind Least Squares.- Supplemental Tools and Methods.- A Comparison of Approaches to Outlier Detection.- Implementation.

Erscheinungsdatum
Zusatzinfo XV, 281 p. 136 illus., 71 illus. in color. With 71 test questions and examples.
Verlagsort Wiesbaden
Sprache englisch
Maße 168 x 240 mm
Themenwelt Technik Elektrotechnik / Energietechnik
Schlagworte Communications Engineering, Networks • Data reduction • Engineering • Estimation of Model Parameters • Least Squares • Model Parameters • Outlier Detection • Regression Analysis • signal approximation • Signal, Image and Speech Processing • weighted least squares
ISBN-10 3-658-11455-X / 365811455X
ISBN-13 978-3-658-11455-8 / 9783658114558
Zustand Neuware
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