Measurement Uncertainties in Science and Technology

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...

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Bibliographic Details
Main Author: Grabe, Michael
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2005, 2005
Edition:1st ed. 2005
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Characterization, Combination and Propagation of Errors
  • Basic Ideas of Measurement
  • Formalization of Measuring Processes
  • Densities of Normal Parent Distributions
  • Estimators and Their Expectations
  • Combination of Measurement Errors
  • Propagation of Measurement Errors
  • Least Squares Adjustment
  • Least Squares Formalism
  • Consequences of Systematic Errors
  • Uncertainties of Least Squares Estimators
  • Special Linear and Linearized Systems
  • Systems with Two Parameters
  • Systems with Three Parameters
  • Special Metrology Systems