On a Discrete Markov-Modulated Risk Model with Random Premium Income and Delayed Claims
Joint Authors
Nie, Changwei
Chen, Mi
Liu, Haiyan
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a discrete Markov-modulated risk model with delayed claims, random premium income, and a constant dividend barrier is proposed.
It is assumed that the random premium income and individual claims are affected by a Markov chain with finite state space.
The model proposed is an extension of the discrete semi-Markov risk model with random premium income and delayed claims.
Explicit expressions for the total expected discounted dividends until ruin are obtained by the method of generating function and the theory of difference equations.
Finally, the effect of related parameters on the total expected discounted dividends are shown in several numerical examples.
American Psychological Association (APA)
Nie, Changwei& Chen, Mi& Liu, Haiyan. 2020. On a Discrete Markov-Modulated Risk Model with Random Premium Income and Delayed Claims. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194151
Modern Language Association (MLA)
Nie, Changwei…[et al.]. On a Discrete Markov-Modulated Risk Model with Random Premium Income and Delayed Claims. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1194151
American Medical Association (AMA)
Nie, Changwei& Chen, Mi& Liu, Haiyan. On a Discrete Markov-Modulated Risk Model with Random Premium Income and Delayed Claims. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194151
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194151