Compound Binomial Model with Batch Markovian Arrival Process
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A compound binomial model with batch Markovian arrival process was studied, and the specific definitions are introduced.
We discussed the problem of ruin probabilities.
Specially, the recursion formulas of the conditional finite-time ruin probability are obtained and the numerical algorithm of the conditional finite-time nonruin probability is proposed.
We also discuss research on the compound binomial model with batch Markovian arrival process and threshold dividend.
Recursion formulas of the Gerber–Shiu function and the first discounted dividend value are provided, and the expressions of the total discounted dividend value are obtained and proved.
At the last part, some numerical illustrations were presented.
American Psychological Association (APA)
Jin, Fang& Wu, Chengxun& Ou, Hui. 2020. Compound Binomial Model with Batch Markovian Arrival Process. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1193618
Modern Language Association (MLA)
Jin, Fang…[et al.]. Compound Binomial Model with Batch Markovian Arrival Process. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1193618
American Medical Association (AMA)
Jin, Fang& Wu, Chengxun& Ou, Hui. Compound Binomial Model with Batch Markovian Arrival Process. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1193618
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193618