Statistical Densities, Cumulatives, Quantiles, and Power Obtained by S -System Differential Equations
利用 S 系统微分方程计算统计密度、累积分布、分位数与功效
A comprehensive approach for the analysis of statistical univariate distributions is advanced. The method is based on recasting a distribution in a canonical set of first-order nonlinear differential equations called an S system, in which the derivative of each variable equals a difference of products of power-law functions. The recasting techniques are illustrated with some examples from central and noncentral probability distributions. The density and the cumulative,…