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A perturbed risk process compounded by a geometric Brownian motion with a dividend barrier strategy
- Source :
-
Applied Mathematics & Computation . Nov2008, Vol. 205 Issue 1, p454-464. 11p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we consider a perturbed risk process (in which the inter-occurrence times are generalized Erlang(n)-distributed) compounded by a geometric Brownian motion. Integro-differential equations with certain boundary conditions for the moment-generating function and the mth moment of the present value of all dividends until ruin are derived. We also derive integro-differential equations with boundary conditions for the Gerber–Shiu function. Some special cases are considered in details. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 205
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 34891631
- Full Text :
- https://doi.org/10.1016/j.amc.2008.08.029