It is shown that there is no direct relation between the fractional exponent v of the fractional integral and the fractal structure of the memory set considered, v depends only the first contraction coefficient χ1 and the first weight P1 of the self-similar measure (or infinite self-similar...

The generalized mean value (GMV) function, defined as GN(p)=(ΔN(p))1/p(where ΔN(p) is the absolute value of the moment of the pth order), was used here to differentiate between statistically close random sequences or those sequences containing large numbers of measured points (N⪢1). The...