Measurement Uncertainties in Science and Technology

by Michael Grabe

Overview

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.

Product Details

ISBN-13:	9783642058950
Publisher:	Springer Berlin Heidelberg
Publication date:	11/05/2010
Edition description:	Softcover reprint of hardcover 1st ed. 2005
Pages:	269
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

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.