Shifted up cosine function as unconventional model of probability distribution

• Autorzy: Warsza Z. L. , Korczynski M. J.
• Języki publikacji: EN

Abstrakty

EN

The shifted up one period of cosine function with field under it normalized to 1 is proposed to be use as the un conventional model of probability density function (PDF). It could also approximate Normal probability distribution in the range š 2.5 standard deviation with accuracy of about š0.02, which is fully acceptable in the evaluation of measurement uncertainty. In this paper the properties of the above cosine based PDF are considered. The possibility of its applications in the routine data assessment and in virtual instruments with automatic uncertainty calcula tions is recommended.

Słowa kluczowe

EN

probability density function PDF; cosines approximation of normal distribution

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2010
• Tom: Vol. 4, No. 1
• Strony: 49--55
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Warsza Z. L.

autor

Korczynski M. J.

• Polish Metrological Society, Warsaw, Poland,

Bibliografia

• [1] Guide to the expression of uncertainty in measurement (GUM), JCGM OIML, 1993.
• [2] Supplement 1 to the Guide to the expression of uncertainty in measurement (GUM). Propagation of distributions using a Monte Carlo method , Guide OIML G 1101, Edition 2007 (E).
• [3] Warsza Z.L., Dorozhovets M., Korczynski M.J., “Methods of upgrading the uncertainty of type A evaluation (1). Elimination the influence of unknown drift and harmonic components”. In: Proc. of 15 th IMEKO TC4 Sympo sium, Iasi, Romania, 2007, pp. 193-198.
• [4] Dorozhovets M., Warsza Z., “Methods of upgrading the uncertainty of type A … (2). Elimination of the influence of autocorrelation of observations and choosing the adequate distribution”. In: Proceedings of 15 th IMEKO TC4 Symposium , Iasi, Romania, 2007, pp. 199204.
• [5] Warsza Z.L., Korczynski M.J., “On-line cleaning of the raw data and uncertainty type A evaluation -development aspects”. In: Proceedings of 18 th Symposium Metrology and Metrology Assurance , 10-14 Sept. 2008, Sozopol, Bulgaria, p. 330-337.
• [6] Korczynski M.J, Warsza Z L., . ”A New Instrument Enriched by Type A Uncertainty Evaluation”. In: Proc. of 16 th IMEKO TC4 International Symposium , Florence, 22 -24 th Sept. 2008, paper 1181 (CD).
• [7] Raab D.H., Green E.H.,“A cosine approximation to the normal distribution”, Psychometrika, vol. 26, no. 4, 1961, p. 447-450.
• [8] Levin S.F., Levin S.S.: “Contour evaluation of truncated distributions in measurement”, Measurement Techniques, vol. 51, no. 1, 2008, Translated from: Izmeritel'naya Tekhnika , no. 1, January, 2008, pp. 10-13.
• [9] Warsza Z.L., Galovska M., “The best measurand estimators of trapezoidal distributions”, Przegląd Elektro techniki -Electrical Review , no. 5, 2009, pp. 86-91.