| 书目名称 | Generalized Gaussian Error Calculus | | 编辑 | Michael Grabe | | 视频video | | | 概述 | 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 | | 图书封面 |  | | 描述 | .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. . | | 出版日期 | Book 2010 | | 关键词 | Gaussian error calculus; Generalized error calculus; Random errors in measurements; Systematic errors i | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-03305-6 | | isbn_softcover | 978-3-642-42436-6 | | isbn_ebook | 978-3-642-03305-6 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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发表于 2025-3-21 17:38:34
