摘要：This short article exhibits that there exists critical point of the power for the generalized function t - a for a >0. The present results show that it is long-range dependent if 0< a <1 and short-range dependent when a >1. My motivation of studying that dependence issue comes from the power-law type functions in fractal time series. The present results may yet be useful to investigate fractal behavior of fractal time series from a new point of view.
