The Distribution Law of Sharma's Coefficient of Variation

Tovohery Josoa Michel, Totohasina Andre, Feno Daniel Rajaonasy

Abstract: Pearson's coefficient of variation (CV) has now become one of the widely used measures of dispersion among researchers, despite its weaknesses and misleading nature. Faced with this problem, in 2011, Sharma and his research team attempted to find an alternative coefficient of dispersion via variance normalization. Although this new measure of dispersion appears to be better and more efficient than the Pearson coefficient of variation, its use is still limited. Thus, this article contributes to the study of the Sharma?s coefficient of variation (CVS) distribution law in order to promote its application to different scientific fields.

Keywords: Coefficient of variation, Gumbel distribution, Fisher distribution, Student distribution, product of two random variables