Kubilius model


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 independent random variables.
The method was introduced in Jonas Kubilius's monograph Tikimybiniai metodai skaičių teorijoje / Probabilistic Methods in the Theory of Numbers .
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 devoted to this topic was translated into English in 1964 and became very influential."