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ИСТИНА |
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ИСТИНА ЦЭМИ РАН |
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We study the relationship between characteristics of probabilistic distributions, moments and cu-mulants. The well-known Carleman’s condition guaranteeing that a probability distribution isuniquely determined by its moments is considered both in terms of moments and cumulants. Thelatter let simplify the checkable condition that is demonstrated with some examples. The crucialresult provides multi-dimensional variant of the condition.