COMPUTING UNCERTAINTY OF THE EXTREME VALUES IN RANDOM SAMPLES

Authors

  • Mykhaylo Dorozhovets
  • Ivanna Bubela

DOI:

https://doi.org/10.47839/ijc.15.2.845

Keywords:

measurement, extremal values, minimal value of observations, maximal value of observations, uncertainty, distribution.

Abstract

This paper proposes and analyses a statistical method for uncertainty evaluation of extreme values (minimal or maximal) for measurement results with significantly limited number of observations n = 3…10 and considerable deviation of observation probability density function (PDF) from normal distribution. The method is based on properties of order statistics. It can be used for the uncertainty evaluation of mechanical properties of testing products in a food industry (when minimal values of measurement results are observed) and for the investigation of a number of harmful elements (when maximal values of measurement results are observed).

References

Guide to the Expression of Uncertainty in Measurement, First ed. 1993 ISO Switzerland, last corrected ed. JCGM BIPM 100, 2008 and Supplement 1– Propagation of distributions using a Monte-Carlo method.

M. Dorozhovets, I. Popovych, “Processing of the random observations with Flatten-Gaussian distribution by approximate order statistics method,” in Proceedings of the IEEE 8th International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS’2015), Warsaw, Poland, 24-26 September 2015, vol. 1, pp. 149-152.

M. Dorozhovets, I. Popovych, “Processing of the random observations with Flatten-Gaussian distribution by approximate order statistics method,” in Proceedings of the Ukrainian scientific-technical conference of young scientists in the field of metrology “Technical Using of Measurement 2015,” Slavsko, Ukraine, February 1-5, 2016, pp. 119-121. (in Ukrainian).

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O. V. Avramenko, M. M. Dorozhovets, I. V. Popovych, “Evaluation of uncertainty of measurement results in testing of percent elongation and tensile strength of plastic products,” in Proceedings of the Ukrainian scientific-technical conference of young scientists in the field of metrology “Technical Using of Measurement 2015,” Slavsko, Ukraine, February 2-6, 2015, pp. 94-96. (in Ukrainian).

M. Dorozhovets, I. Popovych, Z. Warsza, “Evaluation of the measurement uncertainty of the minimal value of observations,” in Proceedings of the XI Scientific-Technical Conference on Problems and Progress in Metrology, Kościelisko, Poland, June 07-10, 2015, pp. 60-66.

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Published

2016-06-30

How to Cite

Dorozhovets, M., & Bubela, I. (2016). COMPUTING UNCERTAINTY OF THE EXTREME VALUES IN RANDOM SAMPLES. International Journal of Computing, 15(2), 127-135. https://doi.org/10.47839/ijc.15.2.845

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Articles