Shifted up cosine function as unconventional model of probability distribution

Abstract

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