Generalized Gaussian Error Calculus

Beschreibung

For the first time in 200 years Generalized Gaussian Error Calculus addresses a rigorous, complete and self-consistent revision of the Gaussian error calculus. Since experimentalists realized that measurements in general are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course, the error calculus to-be, treating random and unknown systematic errors side by side, should ensure the consistency and traceability of physical units, physical constants and physical quantities at large. The generalized Gaussian error calculus considers unknown systematic errors to spawn biased estimators. Beyond, random errors are asked to conform to the idea of what the author calls well-defined measuring conditions. The approach features the properties of a building kit: any overall uncertainty turns out to be the sum of a contribution due to random errors, to be taken from a confidence interval as put down by Student, and a contribution due to unknown systematic errors, as expressed by an appropriate worst case estimation.
Book on error calculation from a theoretical point of view, further developing the approach of Gauss Integrates mathematics and its applications to physical measurements Serves as a text for graduate students and a reference for researchers Includes supplementary material: sn.pub/extras

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Michael Grabe

Themen in »Generalized Gaussian Error Calculus«

Gaussian error calculus Generalized error calculus Random errors in measurements Systematic errors in measurements Theory of error calculation mathematics

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