Jump to content
 







Main menu
   


Navigation  



Main page
Contents
Current events
Random article
About Wikipedia
Contact us
Donate
 




Contribute  



Help
Learn to edit
Community portal
Recent changes
Upload file
 








Search  

































Create account

Log in
 









Create account
 Log in
 




Pages for logged out editors learn more  



Contributions
Talk
 



















Contents

   



(Top)
 


1 References  





2 Further reading  














Kubilius model







Add links
 









Article
Talk
 

















Read
Edit
View history
 








Tools
   


Actions  



Read
Edit
View history
 




General  



What links here
Related changes
Upload file
Special pages
Permanent link
Page information
Cite this page
Get shortened URL
Download QR code
Wikidata item
 




Print/export  



Download as PDF
Printable version
 
















Appearance
   

 






From Wikipedia, the free encyclopedia
 


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[edit]

  1. ^ Schwarz, W. (1994). "Some aspects of the development of probabilistic number theory". In Grigelionis, B.; Kubilius, J.; Pragarauskas, H.; Statulevičius, V. (eds.). Probability theory and mathematical statistics: Proceedings of the 6th International Conference held in Vilnius, June 28–July 3, 1993. Vilnius: TEV. pp. 661–701. MR 1649606.; see p. 674
  • ^ "MATEMATIKA LIETUVOS MOKSLŲ AKADEMIJOJE". Retrieved 14 April 2018.
  • ^ J.Kubilius Probabilistic methods in the Theory of NumbersatGoogle Books
  • ^ Manstavičius, Eugenijus; Schweiger, Fritz, eds. (1992). 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.
  • Further reading[edit]


    Retrieved from "https://en.wikipedia.org/w/index.php?title=Kubilius_model&oldid=1096751002"

    Category: 
    Number theory
     



    This page was last edited on 6 July 2022, at 11:57 (UTC).

    Text is available under the Creative Commons Attribution-ShareAlike License 4.0; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.



    Privacy policy

    About Wikipedia

    Disclaimers

    Contact Wikipedia

    Code of Conduct

    Developers

    Statistics

    Cookie statement

    Mobile view



    Wikimedia Foundation
    Powered by MediaWiki