Before revision:  The arguments are developed under the theoretical background of the General Central Limit Theorem (GCLT) and quantitative valuation defined as a distance function using the Parseval's relation .
After revision:  The arguments are developed under the theoretical background of the General Central Limit Theorem (GCLT) . We also discuss the fit with the Levy's stable distribution compared to the fit with other distributions by employing the method based on likelihood ratios .