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Book Chapter: A PDE Approach To Multivariate Risk Theory
| Title | A PDE Approach To Multivariate Risk Theory |
|---|---|
| Other Titles | A Partial Differential Equation Approach To Multivariate Risk Theory |
| Authors | |
| Issue Date | 2012 |
| Publisher | World Scientific |
| Citation | A PDE Approach To Multivariate Risk Theory. In Zhang, T and Zhou, X (Eds.), Stochastic Analysis and Applications to Finance: Essays in Honour of Jia-An Yan, p. 111-123. Singapore: World Scientific, 2012 How to Cite? |
| Abstract | We develop a new approach to ruin theory for a multi-line insurance business when the risk processes for correlated insurance policies are described by a multivariate diffusion process. A relation between the probability distribution of a hitting time in a multivariate diffusion framework and the solution of a multivariate partial differential equation is obtained. Explicit solutions are then derived for some special cases. |
| Persistent Identifier | http://hdl.handle.net/10722/187473 |
| ISBN | |
| ISSN | |
| Series/Report no. | Interdisciplinary mathematical sciences; vol. 13 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Elliott, RJ | en_US |
| dc.contributor.author | Siu, TK | en_US |
| dc.contributor.author | Yang, H | en_US |
| dc.date.accessioned | 2013-08-20T12:49:45Z | - |
| dc.date.available | 2013-08-20T12:49:45Z | - |
| dc.date.issued | 2012 | en_US |
| dc.identifier.citation | A PDE Approach To Multivariate Risk Theory. In Zhang, T and Zhou, X (Eds.), Stochastic Analysis and Applications to Finance: Essays in Honour of Jia-An Yan, p. 111-123. Singapore: World Scientific, 2012 | en_US |
| dc.identifier.isbn | 9789814383578 | en_US |
| dc.identifier.issn | 1793-1355 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/187473 | - |
| dc.description.abstract | We develop a new approach to ruin theory for a multi-line insurance business when the risk processes for correlated insurance policies are described by a multivariate diffusion process. A relation between the probability distribution of a hitting time in a multivariate diffusion framework and the solution of a multivariate partial differential equation is obtained. Explicit solutions are then derived for some special cases. | - |
| dc.language | eng | en_US |
| dc.publisher | World Scientific | - |
| dc.relation.ispartof | Stochastic Analysis and Applications to Finance: Essays in Honour of Jia-An Yan | en_US |
| dc.relation.ispartofseries | Interdisciplinary mathematical sciences; vol. 13 | - |
| dc.title | A PDE Approach To Multivariate Risk Theory | en_US |
| dc.title.alternative | A Partial Differential Equation Approach To Multivariate Risk Theory | - |
| dc.type | Book_Chapter | en_US |
| dc.identifier.email | Yang, H: hlyang@hku.hk | en_US |
| dc.identifier.authority | Yang, H=rp00826 | en_US |
| dc.identifier.doi | 10.1142/9789814383585_0007 | - |
| dc.identifier.hkuros | 217309 | en_US |
| dc.identifier.spage | 111 | - |
| dc.identifier.epage | 123 | - |
| dc.publisher.place | Singapore | - |
| dc.identifier.issnl | 1793-1355 | - |
