The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Based on characteristics of the nonlife joint-stock insurance company, this paper presents a compound binomial risk model that randomizes the premium income on unit time and sets the threshold x for paying dividends to shareholders.
In this model, the insurance company obtains the insurance policy in unit time with probability p0 and pays dividends to shareholders with probability p1 when the surplus is no less than x.
We then derive the recursive formulas of the expected discounted penalty function and the asymptotic estimate for it.
And we will derive the recursive formulas and asymptotic estimates for the ruin probability and the distribution function of the deficit at ruin.
The numerical examples have been shown to illustrate the accuracy of the asymptotic estimations.
American Psychological Association (APA)
Wang, Xiong& He, Lei. 2013. The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-495554
Modern Language Association (MLA)
Wang, Xiong& He, Lei. The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-495554
American Medical Association (AMA)
Wang, Xiong& He, Lei. The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-495554
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495554