@ARTICLE{Dorozhovets_Mykhaylo_Simple_2024,
 author={Dorozhovets, Mykhaylo},
 volume={vol. 31},
 number={No 4},
 pages={733–750},
 journal={Metrology and Measurement Systems},
 howpublished={online},
 year={2024},
 publisher={Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation},
 abstract={The article proposes and investigates a simple and accurate evaluation of the standard and expanded uncertainty of the Laplace population median. With the number of observations n, the known probability distribution describing the sample median for n-2 observations was used to approximate the uncertainty of the population median. The proposed approximation was tested by comparison with exact results for n  ≤  10 and with the Monte Carlo method. It has been shown that the standard and expanded (confidence level p = 0.90, 0.95, and 0.99) uncertainties determined by the proposed approximation differ from values determined by MCM by less than about 1%. Using the median instead of the mean value as the measurement result provides a measurement uncertainty lower by about 25% when n ≥ 35, and over 29% when n ≥ 70.},
 title={Simple and accurate method to evaluate type a standard and expanded uncertainties of measurement for the Laplace distributed observations},
 type={Article},
 URL={http://czasopisma.pan.pl/Content/134227/06_2k.pdf},
 doi={10.24425/mms.2024.152049},
 keywords={uncertainty of measurement, population, Laplace, median, distribution, approximation},
}