Measurement Uncertainties

Physical Parameters and Calibration of Instruments

  • S. V.¬†Gupta

Table of contents

  1. Front Matter
    Pages i-xix
  2. S. V. Gupta
    Pages 1-29
  3. S. V. Gupta
    Pages 31-51
  4. S. V. Gupta
    Pages 53-74
  5. S. V. Gupta
    Pages 75-108
  6. S. V. Gupta
    Pages 109-129
  7. S. V. Gupta
    Pages 131-151
  8. S. V. Gupta
    Pages 153-176
  9. S. V. Gupta
    Pages 213-228
  10. S. V. Gupta
    Pages 229-252
  11. Back Matter
    Pages 295-321

About this book


This book fulfills the global need to evaluate measurement results along with the associated uncertainty. In the book, together with the details of uncertainty calculations for many physical parameters, probability distributions and their properties are discussed. Definitions of various terms are given and will help the practicing metrologists to grasp the subject. The book helps to establish international standards for the evaluation of the quality of raw data obtained from various laboratories for interpreting the results of various national metrology institutes in an international inter-comparisons. For the routine calibration of instruments, a new idea for the use of pooled variance is introduced. The uncertainty calculations are explained for (i) independent linear inputs, (ii) non-linear inputs and (iii) correlated inputs. The merits and limitations of the Guide to the Expression of Uncertainty in Measurement (GUM) are discussed. Monte Carlo methods for the derivation of the output distribution from the input distributions are introduced. The Bayesian alternative for calculation of expanded uncertainty is included. A large number of numerical examples is included.


Analysis of variance Calibration of measurement instruments Continuous Probability Distributions Discrete and continuous variables Measurement science book Probability functions Propagation of errors book Statistics of measurement data Uniformity of variances

Authors and affiliations

  • S. V.¬†Gupta
    • 1
  1. 1.DelhiIndia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-20988-8
  • Online ISBN 978-3-642-20989-5
  • Buy this book on publisher's site