SHIFTED UP COSINE FUNCTION AS MODEL OF PROBABILITY DISTRIBUTION

Zygmunt Lech Warsza, Marian Jerzy Korczynski, Maryna Galovska

Abstract

The shifted up one period of cosine function with field under it normalized to 1 is proposed to be use as the unconventional model of probability density function (PDF). It could also approximate Normal probability distribution in the range ± 2.5 standard deviation with accuracy of about ±0.02, 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 calculations is recommended.

Keywords

probability density function PDF, cosines approximation of Normal distribution

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IMEKO-WC-2009-TC21-530.pdf

DOI

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IMEKO TC

TC21 - Mathematical Tools for Measurements

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