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摘要:
In this paper we examine the large deviations principle (LDP) for sequences of classic Cramér-Lundberg risk processes under suitable time and scale modifications, and also for a wide class of claim distributions including (the non-super- exponential) exponential claims. We prove two large deviations principles: first, we obtain the LDP for risk processes on D∈[0,1] with the Skorohod topology. In this case, we provide an explicit form for the rate function, in which the safety loading condition appears naturally. The second theorem allows us to obtain the LDP for Aggregate Claims processes on D∈[0,∞) with a different time-scale modification. As an application of the first result we estimate the ruin probability, and for the second result we work explicit calculations for the case of exponential claims.
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篇名 Applications of Mogulskii, and Kurtz-Feng Large Deviation Results to Risk Reserve Processes with Aggregate Claims
来源期刊 应用数学(英文) 学科 数学
关键词 Large Deviations Cramer-Lundberg Reserve Risk PROCESSES Probability Theory and Mathematical Statistics in INSURANCE Stochastic Models for CLAIM Frequency CLAIM Size and Aggregate CLAIMS RESERVES
年,卷(期) yysxyw_2012,(12) 所属期刊栏目
研究方向 页码范围 2109-2117
页数 9页 分类号 O1
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Large
Deviations
Cramer-Lundberg
Reserve
Risk
PROCESSES
Probability
Theory
and
Mathematical
Statistics
in
INSURANCE
Stochastic
Models
for
CLAIM
Frequency
CLAIM
Size
and
Aggregate
CLAIMS
RESERVES
研究起点
研究来源
研究分支
研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
应用数学(英文)
月刊
2152-7385
武汉市江夏区汤逊湖北路38号光谷总部空间
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1878
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0
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