Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model
A simple model of the insurance coverage for the damage of COVID-19 is introduced. Concerning the estimation of the numbers of patients and/or deaths, we employ the Cramér–Lundberg model for the risk process, which is combined with the discrete SIR model. Under various premium principles, we are abl...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2024-12-01
|
| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500151 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832576328345321472 |
|---|---|
| author | Andres Mauricio Molina Barreto Naoyuki Ishimura Koichiro Takaoka Chenwei Sun |
| author_facet | Andres Mauricio Molina Barreto Naoyuki Ishimura Koichiro Takaoka Chenwei Sun |
| author_sort | Andres Mauricio Molina Barreto |
| collection | DOAJ |
| description | A simple model of the insurance coverage for the damage of COVID-19 is introduced. Concerning the estimation of the numbers of patients and/or deaths, we employ the Cramér–Lundberg model for the risk process, which is combined with the discrete SIR model. Under various premium principles, we are able to design suitable insurance. Numerical research with the data of Tokyo region is also performed. |
| format | Article |
| id | doaj-art-36f1075530b0485091db55f4635201d8 |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-36f1075530b0485091db55f4635201d82025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S2661335224500151Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg modelAndres Mauricio Molina Barreto0Naoyuki Ishimura1Koichiro Takaoka2Chenwei Sun3Faculty of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo 108-8345, JapanFaculty of Commerce, Chuo University, 742-1 Higashi Nakano, Hachioji, Tokyo 192-0393, JapanFaculty of Commerce, Chuo University, 742-1 Higashi Nakano, Hachioji, Tokyo 192-0393, JapanGraduate School of Commerce, Chuo University, 742-1 Higashi Nakano, Hachioji, Tokyo 192-0393, JapanA simple model of the insurance coverage for the damage of COVID-19 is introduced. Concerning the estimation of the numbers of patients and/or deaths, we employ the Cramér–Lundberg model for the risk process, which is combined with the discrete SIR model. Under various premium principles, we are able to design suitable insurance. Numerical research with the data of Tokyo region is also performed.https://www.worldscientific.com/doi/10.1142/S2661335224500151Epidemic outbreaksCramér–Lundberg risk processinsurance design |
| spellingShingle | Andres Mauricio Molina Barreto Naoyuki Ishimura Koichiro Takaoka Chenwei Sun Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model International Journal of Mathematics for Industry Epidemic outbreaks Cramér–Lundberg risk process insurance design |
| title | Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model |
| title_full | Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model |
| title_fullStr | Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model |
| title_full_unstemmed | Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model |
| title_short | Insurance design for the loss of epidemic outbreaks involving Cramér–Lundberg model |
| title_sort | insurance design for the loss of epidemic outbreaks involving cramer lundberg model |
| topic | Epidemic outbreaks Cramér–Lundberg risk process insurance design |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500151 |
| work_keys_str_mv | AT andresmauriciomolinabarreto insurancedesignforthelossofepidemicoutbreaksinvolvingcramerlundbergmodel AT naoyukiishimura insurancedesignforthelossofepidemicoutbreaksinvolvingcramerlundbergmodel AT koichirotakaoka insurancedesignforthelossofepidemicoutbreaksinvolvingcramerlundbergmodel AT chenweisun insurancedesignforthelossofepidemicoutbreaksinvolvingcramerlundbergmodel |