Investigation of the Instrumental Components in Uncertainty of Extreme Random Observations

  • Mykhaylo DorozhovetsEmail author
  • Ivanna Bubela
  • Anna Szlachta
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 548)


In this paper the instrumental components in the uncertainty of extreme observations are analyzed and quantitatively evaluated. In practice this method can be used to evaluate the uncertainty results of testing products, when during testing the most informative parameter is not the arithmetic mean but the extreme (minimal or maximal) observation. In the paper two main components of the uncertainty for such testing are studied: the statistical component - the variation of the measured parameter of a few tested specimens and the instrumental component - uncertainty of the measurement result of the appropriate parameter for each tested specimen. It is shown that the uncertainty of extreme observations depends in different ways on systematic and random effects in the measurements. If the standard uncertainty evaluated using the type B method (instrumental components) does not exceed (approximately) 1/3 of the standard uncertainty determined using the type A method (deviation values of observations), then the value of a coefficient which is used to calculate one-side expanded uncertainty of extreme observation can be determined approximately using a simplified method based on the ratio of both components of the standard uncertainty. The results of the research can be used to evaluate the uncertainty results in the quality testing of a wide variety of products in industry, agriculture and medicine when the result of the test depends on the minimum or maximum value of the parameter in the tested specimens.


Measurement Random Systematic effects Uncertainty Extreme (minimal, maximal) observation Monte carlo method 



This work is financed by Polish Ministry of Science and Higher Education under the program “Regional Initiative of Excellence” in 2019–2022. Project number 027/RID/2018/19, funding amount 11 999 900 PLN.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Mykhaylo Dorozhovets
    • 1
    Email author
  • Ivanna Bubela
    • 2
    • 3
  • Anna Szlachta
    • 1
  1. 1.Rzeszow University of TechnologyRzeszowPoland
  2. 2.National University - Lviv PolitechnicLvivUkraine
  3. 3.State Enterprise “Scientific-Research Institute of Metrology of Measurement and Control Systems” (DP NDI “Systema”)LvivUkraine

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