Statistical deception of multifractal processes
In probability theory and statistics , the moment of order
of real random variable
is a measure of the dispersion of this variable , for instance the standard deviation , the square root of central moment of order 2. The
statistical order are:

Also, it can be described using its distribution function:

The practical importance of the distribution function is that it allows to calculate the probability of any interval :


In the following sections we will present the multifractal processes by describing their statistical characteristics.