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...

Full description

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
LEADER 02311nmm a2200313 u 4500
001 EB000373449
003 EBX01000000000000000226501
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9783540273196 
100 1 |a Grabe, Michael 
245 0 0 |a Measurement Uncertainties in Science and Technology  |h Elektronische Ressource  |c by Michael Grabe 
250 |a 1st ed. 2005 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2005, 2005 
300 |a XI, 269 p  |b online resource 
505 0 |a 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 
653 |a Measurement 
653 |a Engineering 
653 |a Measuring instruments 
653 |a Technology and Engineering 
653 |a Measurement Science and Instrumentation 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
028 5 0 |a 10.1007/b138915 
856 4 0 |u https://doi.org/10.1007/b138915?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.8 
082 0 |a 530.7 
520 |a 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 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