Моделювання двокомпонентних сумішей зсунутих розподілів з нульовими кумулянтними коефіцієнтами.

For two-component mixtures of shifted distributions a general formula for finding the value of the shift parameter ã₀,_s, at which the cumulant coefficients γ_s ( p ã) of any order s ≥ 3 are equal to zero, is obtained. An algorithm for mathematical and computer modeling of two component mixtures of shifted distributions with zero cumulant coefficients is formulated. General formulas for two-component mixtures of shifted gamma-distributions with zero cumulant coefficients of any order are obtained and examples of mixtures with zero skewness and kurtosis coefficients are given. General formulas of two-component mixtures of shifted Student’s distributions with zero cumulant coefficients of any order are obtained and examples of mixtures with zero kurtosis coefficient and coefficient γ₆ ( p, ã) are given. The research results provide the practical possibility of using two-component mixtures of shifted distributions for mathematical and computer modeling of non-Gaussian random variables with zero cumulant coefficients of any order. [ABSTRACT FROM AUTHOR]