Measurement Uncertainties in Science and Technology

  • Michael Grabe

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Michael Grabe
      Pages 3-15
    3. Michael Grabe
      Pages 17-27
    4. Michael Grabe
      Pages 29-52
    5. Michael Grabe
      Pages 53-66
    6. Michael Grabe
      Pages 67-80
    7. Michael Grabe
      Pages 81-96
    8. Michael Grabe
      Pages 97-104
    9. Michael Grabe
      Pages 105-109
  3. Least Squares Adjustment

    1. Front Matter
      Pages 111-111
    2. Michael Grabe
      Pages 113-121
    3. Michael Grabe
      Pages 123-133
    4. Michael Grabe
      Pages 135-151
    5. Michael Grabe
      Pages 153-170
  4. Linear and Linearized Systems

    1. Front Matter
      Pages 171-171
    2. Michael Grabe
      Pages 173-202
    3. Michael Grabe
      Pages 203-216
    4. Michael Grabe
      Pages 217-244
    5. Michael Grabe
      Pages 245-264

About this book


This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered – true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not  feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by students.
The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.


Enhanced Confidence Intervals Generic Metrological Issues Least Squares Adjustment Linear and Linearized Systems Localization of True Values Measurement Uncertainties Procedures of Data Evaluation Propagation of Errors Unknown Systematic Errors

Authors and affiliations

  • Michael Grabe
    • 1
  1. 1.BraunschweigGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-04887-1
  • Online ISBN 978-3-319-04888-8
  • About this book