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:
Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
Fuyang Normal Coll, Dept Math, Fuyang 236032, Anhui, Peoples R ChinaCent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
Gao, Shan
Liu, Zaiming
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机构:
Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
机构:
Chongqing Univ, Dept Stat & Actuarial Sci, Chongqing 400030, Peoples R ChinaChongqing Univ, Dept Stat & Actuarial Sci, Chongqing 400030, Peoples R China
Yang, Hu
Zhang, Zhimin
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Chongqing Univ, Dept Stat & Actuarial Sci, Chongqing 400030, Peoples R ChinaChongqing Univ, Dept Stat & Actuarial Sci, Chongqing 400030, Peoples R China
机构:
Univ Paris 05, Sorbonne Paris Cite, MAP5, UMR CNRS 8145, F-75006 Paris, FranceUniv Paris 05, Sorbonne Paris Cite, MAP5, UMR CNRS 8145, F-75006 Paris, France
Duval, Celine
ELECTRONIC JOURNAL OF STATISTICS,
2014,
8
: 274
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301