000 03389nam a22004455i 4500
001 u373524
003 SIRSI
005 20160812084150.0
007 cr nn 008mamaa
008 100715s2010 gw | s |||| 0|eng d
020 _a9783642033056
_9978-3-642-03305-6
040 _cMX-MeUAM
050 4 _aQC5.53
082 0 4 _a530.15
_223
100 1 _aGrabe, Michael.
_eauthor.
245 1 0 _aGeneralized Gaussian Error Calculus
_h[recurso electrónico] /
_cby Michael Grabe.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXIII, 301 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aBasics of Metrology -- True Values and Traceability -- Models and Approaches -- Generalized Gaussian Error Calculus -- The New Uncertainties -- Treatment of Random Errors -- Treatment of Systematic Errors -- Error Propagation -- Means and Means of Means -- Functions of Erroneous Variables -- Method of Least Squares -- Essence of Metrology -- Dissemination of Units -- Multiples and Sub-multiples -- Founding Pillars -- Fitting of Straight Lines -- Preliminaries -- Straight Lines: Case (i) -- Straight Lines: Case (ii) -- Straight Lines: Case (iii) -- Fitting of Planes -- Preliminaries -- Planes: Case (i) -- Planes: Case (ii) -- Planes: Case (iii) -- Fitting of Parabolas -- Preliminaries -- Parabolas: Case (i) -- Parabolas: Case (ii) -- Parabolas: Case (iii) -- Non-Linear Fitting -- Series Truncation -- Transformation.
520 _aFor 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.
650 0 _aPhysics.
650 0 _aSystems theory.
650 0 _aMathematical physics.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aEngineering, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642033049
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-03305-6
596 _a19
942 _cLIBRO_ELEC
999 _c201404
_d201404