Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Proceedings of the YSU, Physical and Mathematical Sciences:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 2, Pages 146–150 (Mi uzeru377)  
Mathematics

"Bonus hunger" behavior in the alternative bonus–malus system

A. G. Gulyan

Chair of Actuarial Mathematics and Risk Management YSU, Armenia
Full-text PDF (136 kB)
References:
PDF
HTML
Abstract: In this article the "bonus hunger" behavior for the Alternative bonus–malus system (BMS) is discussed. The Alternative BMS is a model, where the next premium is the combination of the previous premium and the aggregate claim amount. The key characteristics for the comparison are the discounted premium reduction for some time horizon and the entire claim amount. Existence of the steady state for the BMS discussed in this paper was proved and the probability of claiming for the general model and for its steady state was found out.
Keywords: hunger for bonus, martingale, bonus–malus system.
Received: 11.04.2017
Accepted: 25.05.2017
Document Type: Article
MSC: Primary 60G42, 62P05; Secondary 91B30, 97M30
Language: English
Citation: A. G. Gulyan, “"Bonus hunger" behavior in the alternative bonus–malus system”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:2 (2017), 146–150
Citation in format AMSBIB
\Bibitem{Gul17}
\by A.~G.~Gulyan
\paper ``Bonus hunger" behavior in the alternative bonus–malus system
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2017
\vol 51
\issue 2
\pages 146--150
\mathnet{http://mi.mathnet.ru/uzeru377}
Linking options:
  • https://www.mathnet.ru/eng/uzeru377
  • https://www.mathnet.ru/eng/uzeru/v51/i2/p146
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
    Statistics & downloads:
    Abstract page:134
    Full-text PDF :59
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024