Интервальный анализ распределений и разрывы

An introduction to interval analysis of distributions, as a new direction of interval analysis, is presented, including illustrated examples. New formulas and additional restrictions for intervals of moments, including mean value, are obtained. Among them are Novoselov formulas for moments and the so-called “Ring of formulas” for mean values. In the scope of the interval analysis of distributions, the ruptures for mean values are considered. The interval analysis of distributions may be used, e.g., in probability theory, modeling, forecasting, economics, utility theory.