Abstract In the present paper surplus process perturbed by diffusion are considered.The distributions ofthe surplus immediately before and at ruin corresponding to the probabilities of ruin caused by oscillation andruin caused by a claim are studied.Some joint distribution densities are obtained.Techniques from martingaletheory and renewal theory are used.
机构:
Univ New S Wales, Australian Sch Business, Sydney, NSW, AustraliaUniv Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
Zhu, Jinxia
Yang, Hailiang
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Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
Yang, Hailiang
Ng, Kai Wang
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Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R ChinaUniv Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China
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Univ Waterloo, Dept Stat & Actuarial Sci, Waterloo, ON N2L 3G1, Canada
Cent Univ Finance & Econ, China Inst Actuarial Sci, Beijing, Peoples R ChinaUniv Waterloo, Dept Stat & Actuarial Sci, Waterloo, ON N2L 3G1, Canada
Cai, Jun
Yang, Hailiang
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Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R ChinaUniv Waterloo, Dept Stat & Actuarial Sci, Waterloo, ON N2L 3G1, Canada