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Tytuł:: Shifted up cosine function as unconventional model of probability distribution
Autorzy:: Warsza, Z. L.
Korczynski, M. J.
Powiązania:: https://bibliotekanauki.pl/articles/384539.pdf
Data publikacji:: 2010
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: probability density function PDF
cosines approximation of normal distribution
Opis:: 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.
Źródło:: Journal of Automation Mobile Robotics and Intelligent Systems; 2010, 4, 1; 49-55
1897-8649
2080-2145
Pojawia się w:: Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Effective Measyrand Estimators for Samples of Trapezoidal PDF-s
Autorzy:: Warsza, Z. L.
Powiązania:: https://bibliotekanauki.pl/articles/384747.pdf
Data publikacji:: 2012
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: estimators of probability density function
trapezoidal PDF
mid-range
uncertainty evaluation
Opis:: This paper is final overview of investigations on the accuracy of basic estimators of trapezoidal probability distribution samples of the measured data. For symmetrical trapezoidal PDF of straight as well concaved sides, using Monte-Carlo method of simulation, the standard deviation (SD) of linear 1- and 2-component estimators are evaluated. Approaches for theirs evaluation are proposed. It is established that in the ratio of upper and bottom bases of trapezoidal PDF in the range from 1 to 0,35 the mid-range value has smaller standard deviation (SD) than the mean value and median. It is find then for the whole family of the symmetric linear trapezoidal PDF more accurate than above single element estimators are two-component (2C) estimators as the linear form of the mean and mid-range values of the sample. Their coefficients are found, properties discussed and formulas of SD are given. The new simplified 2C-estimator of equal coefficients is also proposed. These estimators successfully extend estimation of the measurand value as the sample mean and description of its accuracy by the uncertainty type A recommended by the international guides of uncertainty evaluation in measurement GUM-2008 [1], EA-4/02 [2] and by Handbook NASA [3]. Approaches of described below investigations could be effectively applied also for other models of convoluted PDF-s.
Źródło:: Journal of Automation Mobile Robotics and Intelligent Systems; 2012, 6, 1; 8-14
1897-8649
2080-2145
Pojawia się w:: Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:: Biblioteka Nauki

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