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Generalized polynomial comparative calibration: parameter estimation and applications
Title Generalized polynomial comparative calibration: parameter estimation and applications Author info Viktor Witkovský, Gejza Wimmer Author Witkovský Viktor (50%)
Co-authors Wimmer Gejza 1949- (50%) UMBFP10 - Katedra matematiky
Source document Advances in measurements and instrumentation: reviews : book series, 1 - volume. Pp. 15-52 [1,85 AH]. - Barcelona : IFSA Publishing, 2018 Keywords calibration problems calibrated device calibration function parameters Language English Country Spain systematics 51 Annotation Popísujú sa metódy a algoritmy, založené na aplikácii klasického regresného prístupu na model s chybami v premenných, a aplikované na model komparatívnej kalibrácie (t.j. kalibrácie, keď obidve premenné (aj etalón) sú zaťažené chybami). Uvažujre sa pritom zovšeobecnená polynomická kalibračná funkcia. Tento prístup berie do úvahy čisto metrologické zretele. Vstupné veličiny sú úplne charakterizované apriórnymi znalosťami ich distribúcií, ktoré sú odvodené zo zodpovedajúcich bilancií neistôt priamych meraní v kalibračnom experimente ako aj expertných znalostí metrológa. Tento postup umožňuje kombinovať metody A a B vyhodnocovania neistôt ako aj zahrnúť korelácie medzi meraniami. Described are methods and algorithms, based on using the classical regression approach used for the errors-in-variable model and applied it for the comparative calibration with the generalized polynomial calibration function. The present approach is based on strictly metrologist considerations. The inputs quantities are fully characterized by their state-of-knowledge distributions, derived from the associated uncertainty budgets of the direct measurements from the calibration experiment, which allows to combine type A and type B methods of evaluation of the measurements, as well as to incorporate correlated measurements with the comparative calibration, i.e. with the situation when both variables entering the calibration experiment are subject to errors (including the used measurement standard) Public work category AEC No. of Archival Copy 43928 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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