In mathematics, the Kubilius model relies on a clarification and extension of a finite probability space on which the behaviour of additive arithmetic functions can be modeled by sum of

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random variables. The method was introduced in Jonas Kubilius's monograph ''Tikimybiniai metodai skaičių teorijoje'' (published in Lithuanian in 1959) / ''Probabilistic Methods in the Theory of Numbers'' (published in English in 1964) . Eugenijus Manstavičius and Fritz Schweiger wrote about Kubilius's work in 1992, "the most impressive work has been done on the statistical theory of arithmetic functions which almost created a new research area called Probabilistic Number Theory. A monograph (''Probabilistic Methods in the Theory of Numbers'') devoted to this topic was translated into English in 1964 and became very influential."

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