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Data Fitting and Uncertainty

A practical introduction to weighted least squares and beyond

  • Book
  • © 2016

Overview

  • Fast guide to Data Fitting and Uncertainty
  • A self-contained introduction
  • Design your own software implementations

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Keywords

  • Estimation of Model Parameters
  • Model Parameters
  • data reduction
  • least squares
  • outlier detection
  • regression analysis
  • weighted least squares

About this book

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.

Authors and Affiliations

  • Leipzig, Germany

    Tilo Strutz

About the author

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.

Bibliographic Information

  • Book Title: Data Fitting and Uncertainty

  • Book Subtitle: A practical introduction to weighted least squares and beyond

  • Authors: Tilo Strutz

  • Publisher: Springer Vieweg Wiesbaden

  • Copyright Information: Springer Fachmedien Wiesbaden 2016

  • Softcover ISBN: 978-3-658-11455-8Published: 16 December 2015

  • Edition Number: 2

  • Number of Pages: XV, 281

  • Number of Illustrations: 65 b/w illustrations, 71 illustrations in colour

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