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Measurement Uncertainties in Science and Technology

By: Grabe, Michael [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XI, 269 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540273196.Subject(s): Physics | Physical measurements | Measurement | Engineering | Physics | Measurement Science and Instrumentation | Engineering, generalDDC classification: 530.8 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK6770
Total holds: 0

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.

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.

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