Data Fitting and Uncertainty

A practical introduction to weighted least squares and beyond
2. revised and extended Auflage 2016
ISBN: 978-3-658-11455-8
Verlag: Springer

Buch, Englisch, 281 Seiten, Book, Format (B × H): 168 mm x 240 mm, Gewicht: 5662 g

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Strutz, Tilo

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.