Dealing with Uncertainties

A Guide to Error Analysis

  • Manfred Drosg

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Manfred Drosg
    Pages 1-6
  3. Manfred Drosg
    Pages 7-16
  4. Manfred Drosg
    Pages 17-48
  5. Manfred Drosg
    Pages 69-92
  6. Manfred Drosg
    Pages 93-114
  7. Manfred Drosg
    Pages 115-149
  8. Manfred Drosg
    Pages 151-172
  9. Manfred Drosg
    Pages 173-187
  10. Back Matter
    Pages 209-235

About this book

Introduction

Dealing with Uncertainties is an innovative monograph that lays special emphasis on the deductive approach to uncertainties and on the shape of uncertainty distributions. This perspective has the potential for dealing with the uncertainty of a single data point and with sets of data that have different weights. It is shown that the inductive approach that is commonly used to estimate uncertainties is in fact not suitable for these two cases. The approach that is used to understand the nature of uncertainties is novel in that it is completely decoupled from measurements. Uncertainties which are the consequence of modern science provide a measure of confidence both in scientific data and in information in everyday life. Uncorrelated uncertainties and correlated uncertainties are fully covered and the weakness of using statistical weights in regression analysis is discussed. The text is abundantly illustrated with examples and includes more than 150 problems to help the reader master the subject.

Keywords

Correlation of errors Error analysis Random error STATISTICA Systematic error Uncertainty considerations linear optimization

Authors and affiliations

  • Manfred Drosg
    • 1
  1. 1.Inst. ExperimentalphysikUniversität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-01384-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-01383-6
  • Online ISBN 978-3-642-01384-3
  • About this book