Volume 9, Issue 4 (12-2023)                   mmr 2023, 9(4): 24-48 | Back to browse issues page

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:

Bazyari A. Finite Time Ruin Probability in the Collective Risk Model using Continuous Time Markov Chain. mmr 2023; 9 (4) :24-48
URL: http://mmr.khu.ac.ir/article-1-3269-en.html
Department of Statistics, Persian Gulf University, Bushehr, Iran , ab_bazyari@yahoo.com
Abstract:   (457 Views)
The ability of insurers to pay claims is one of the most important issues in the management of insurance companies. In this paper, the collective risk model of insurance company with constant premium and compound Poisson process over a period of time is considered. For a general class of claim sizes with light tailed and heavy tailed distributions, a formula for computing the finite time ruin probability is obtained using the probability transformation, then the matrix form of the presented formula by the transformation matrix and continuous time Markov chain generating matrix is rewritten. Also, using simulation paths from the risk process for claim sizes with Exponential, Normal and Pareto distributions with different values of initial reserve at the different times, in addition to compute the finite time ruin probabilities and unbiased confidence intervals, their values estimated for transformation matrix and Markov chain generating matrix.
Full-Text [PDF 432 kb]   (195 Downloads)    
Type of Study: S | Subject: stat
Received: 2022/04/18 | Revised: 2024/05/7 | Accepted: 2022/12/5 | Published: 2024/01/8 | ePublished: 2024/01/8

Add your comments about this article : Your username or Email:

Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

© 2024 CC BY-NC 4.0 | Mathematical Researches

Designed & Developed by : Yektaweb