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.[1]
The method was introduced in Jonas Kubilius's monograph Tikimybiniai metodai skaičių teorijoje (published in Lithuanian in 1959)[2] / Probabilistic Methods in the Theory of Numbers (published in English in 1964) .[3]
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."[4]: xi
References
- ^ Edited by B. Grigelionis, J. Kubilius, H. Pragarauskas and V. Statulevicius Probability Theory and Mathematical Statistics. Proceedings of the Sixth Vilnius Conference(1993), p. 674, at Google Books
- ^ "MATEMATIKA LIETUVOS MOKSLŲ AKADEMIJOJE". Retrieved 14 April 2018.
- ^ J.Kubilius Probabilistic methods in the Theory of Numbers at Google Books
- ^ Editors, F. Schweiger and E. Manstavičius. (1992). Manstavičius, Eugenijus; Schweiger, Fritz (eds.). Analytic and probabilistic methods in number theory. New Trends in Probability and Statistics. Vol. 2. Utrecht: VSP. ISBN 978-90-6764-094-7. Retrieved 2009-04-17.
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Further reading
- "Selected publications of Professor Jonas Kubilius". Vilnius University. March 5, 2001. Retrieved 14 April 2018.
- "Biography: Jonas Kubilius". www-history.mcs.st-andrews.ac.uk. Retrieved 14 April 2018.