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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Generalized Gaussian Error Calculus (Hardcover, 2010 Ed.)
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Generalized Gaussian Error Calculus (Hardcover, 2010 Ed.)
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The book of nature is written in the language of mathematics
Galileo Galilei, 1623 Metrology strives to supervise the ?ow of the
measurand's true values
throughconsecutive,arbitrarilyinterlockingseriesofmeasurements.Tohi-
light this feature the term traceability has been coined.
Traceability is said to be achieved, given the true values of each
of the physical quantities entering and leaving the measurement are
localized by speci?ed measu- ment uncertainties. The classical
Gaussian error calculus is known to be con?ned to the tre- ment of
random errors. Hence, there is no distinction between the true
value of a measurand on the one side and the expectation of the
respective es- mator on the other. This became apparent not until
metrologists considered the e?ect of so-called unknown systematic
errors. Unknown systematic errors are time-constant quantities
unknown with respect to magnitude and sign. While random errors are
treated via distribution densities, unknown syst- atic errors can
only be assessed via intervals of estimated lengths. Unknown
systematic errors were, in fact, addressed and discussed by Gauss
himself. Gauss, however, argued that it were up to the experimenter
to eliminate their causes and free the measured values from their
in?uence.
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