Advertisement

Measurement Uncertainties in Science and Technology

  • Michael Grabe

Table of contents

  1. Front Matter
    Pages I-XI
  2. Characterization, Combination and Propagation of Errors

  3. Least Squares Adjustment

  4. Special Linear and Linearized Systems

  5. Back Matter
    Pages 231-269

About this book

Introduction

At the turn of the 19th century, Carl Friedrich Gauß founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß’ error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.

Keywords

Gaussian error calculus Method of least squares Normal Statistical interferences Systematic errors distribution metrology

Authors and affiliations

  • Michael Grabe
    • 1
  1. 1.BraunschweigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b138915
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-20944-7
  • Online ISBN 978-3-540-27319-6
  • Buy this book on publisher's site