  The variability of temporal (or spatial) fluctuations of any variable is
represented in conventional statistical theory by the relative dispersion equal
to the standard deviation divided by the mean . The Relative Dispersion
decreases with increase in time(or space) resolution and for uncorrelated
fluctuations dealt with in traditional statistics, is given as a linear
function of Relative Dispersion at the smallest resolution and the ratio of the
time resolutions.However, it is now established that temporal (or spatial)
fluctuations of dynamical systems exhibit selfsimilarity or long-range
correlations and traditional statistical concepts are not valid. In this paper,
it is shown that resolution dependent variance is described by the fractal
dimension .
