Class of Two-component Mixtures of Non-gaussian Symmetric Distributions with Zero Cumulant Coefficients

Based on a family of two-component mixtures of distributions, a class К of symmetric non-Gaussian distributions with zero cumulant coefficients s of order is defined. Formulas for finding the values of the mixture’s weight coefficient, at which the coefficients 4, 6 are equal to zero, are obtained. The dependence of the cumulant coefficient on the mixture’s weight coefficient 8 is researched, as a result of which the conditions, under which the mixtu­re’s coefficient 8 is equal to zero, is determined. Formulas for finding of the mixture’s weight coefficient values, at which the coefficient 8 = 0, are obtained. Examples of symmetric non-Gaussian distributions with zero cumulant coefficients 4, 6, 8 are considered. A methodology for computer modeling of non-Gaussian random variables of the class К is given.