Zhou, Xiaowen (2004) *On a Classical Risk Model with a Constant Dividend Barrier.* Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.

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## Abstract

We consider a risk model with a constant dividend barrier. An explicit expression is obtained for the joint distribution of the surplus immediately prior to ruin and the deficit at ruin, discounted by the ruin time. Such an expression involves known results on the joint distribution

at ruin for a classical risk model with single premium rate. The joint distributions related to the time periods when dividends are paid are also discussed. In particular, a new expression is obtained for the expected present value of the total amount of dividend payments until ruin.

Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
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Item Type: | Monograph (Technical Report) |

Authors: | Zhou, Xiaowen |

Series Name: | Department of Mathematics & Statistics. Technical Report No. 10/04 |

Corporate Authors: | Concordia University. Department of Mathematics & Statistics |

Institution: | Concordia University |

Date: | November 2004 |

Keywords: | Expected present value of total dividends until ruin; Joint distribution of the surplus involving ruin time; Risk model with a constant dividend barrier |

ID Code: | 6659 |

Deposited By: | DIANE MICHAUD |

Deposited On: | 02 Jun 2010 12:22 |

Last Modified: | 08 Dec 2010 18:24 |

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