The effect of covariance on uncertainty when constructing the ITS-90 temperature scale

Ďuriš, Stanislav; Palenčár, Rudolf; Ranostaj, J.

doi:10.1007/s11018-008-9053-x

Cited by 5 publications

(10 citation statements)

References 7 publications

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“…Investigating and defining the correlations (e.g., Eq. 40) and correlation matrices of the input quantities for different calibration scenarios have already been achieved to some extent (e.g, in [8][9][10]15,17]) or left for future work.…”

Section: Discussionmentioning

confidence: 99%

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Uncertainty Propagation for Platinum Resistance Thermometers Calibrated According to ITS-90

Rosenkranz

2010

Int J Thermophys

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A new supplement to the GUM outlines uncertainty calculations using matrix algebra for models with more than one output quantity. This technique is applied to the problem of uncertainty propagation for platinum resistance thermometers (PRTs). PRTs are calibrated at specified sets of defining fixed points dependent on the desired temperature range. The problem of uncertainty propagation from the fixed-point calibration results plus the resistance of the PRT in use as input quantities to the coefficients of the deviation function as intermediate results and the temperature as a sole output quantity is discussed. A general solution in matrix form for any temperature range of the ITS-90 defined by PRTs is highlighted. The presented method allows for an easy consideration of the input quantity correlations, which differ with the circumstances of the accomplishment of the fixed-point calibrations and the resistance measurement of the thermometer in use. An example calculation for a specific temperature range based on a simplified model for the input quantity correlations demonstrates this benefit.

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Section: Discussionmentioning

confidence: 99%

“…Bloembergen [7], Sadli et al [8], Meyer and Ripple [9], and Duris et al [10] discuss the uncertainty propagation for PRTs with summation formulas according to the GUM [2].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Propagation for Platinum Resistance Thermometers Calibrated According to ITS-90

Rosenkranz

2010

Int J Thermophys

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“…Most published papers employ an approach based on the law of propagation of uncertainty GUM and its supplements [3] and [4], fewer papers are based on the orthogonal polynomials. The overview of the approaches is presented in [5], [6]. Matrix interpretation of GUM method is described in [7].…”

Section: Current Status Of the Issuementioning

confidence: 99%

“…Specific approaches dealing with density functions and confidence intervals are mentioned in [8], [9]. The effect of covariance on uncertainty when realizing ITS-90 temperature scale is discussed in [6]. Uncertainty determination by MCM is discussed e.g.…”

Section: Current Status Of the Issuementioning

confidence: 99%

“…In general, authors predict uncorrelated resistances among the defining fixed point (DFP) and neglect the influence of correlations. Omitting the correlations among resistances in individual DFPs does not always correspond to reality and they can have a significant impact, see [6]. Progressive Bayesian analysis introduces another point of view.…”

Section: Current Status Of the Issuementioning

confidence: 99%

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Application of Monte Carlo Method for Evaluation of Uncertainties of ITS-90 by Standard Platinum Resistance Thermometer

Palenčár

Sopkuliak

Palenčár

et al. 2017

Measurement Science Review

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Evaluation of uncertainties of the temperature measurement by standard platinum resistance thermometer calibrated at the defining fixed points according to ITS-90 is a problem that can be solved in different ways. The paper presents a procedure based on the propagation of distributions using the Monte Carlo method. The procedure employs generation of pseudo-random numbers for the input variables of resistances at the defining fixed points, supposing the multivariate Gaussian distribution for input quantities. This allows taking into account the correlations among resistances at the defining fixed points. Assumption of Gaussian probability density function is acceptable, with respect to the several sources of uncertainties of resistances. In the case of uncorrelated resistances at the defining fixed points, the method is applicable to any probability density function. Validation of the law of propagation of uncertainty using the Monte Carlo method is presented on the example of specific data for 25 Ω standard platinum resistance thermometer in the temperature range from 0 to 660 °C. Using this example, we demonstrate suitability of the method by validation of its results.

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Conclusions and some comments on the calculation of uncertainty when constructing a temperature scale

Palenčár¹,

Ďuriš²,

Ranostaj

2011

Meas Tech

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The effect of covariance on uncertainty when constructing the ITS-90 temperature scale

Cited by 5 publications

References 7 publications

Uncertainty Propagation for Platinum Resistance Thermometers Calibrated According to ITS-90

Uncertainty Propagation for Platinum Resistance Thermometers Calibrated According to ITS-90

Application of Monte Carlo Method for Evaluation of Uncertainties of ITS-90 by Standard Platinum Resistance Thermometer

Conclusions and some comments on the calculation of uncertainty when constructing a temperature scale

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