摘要
对随机权重的次序统计量线性和条件下的失真风险测度尾部进行了讨论,并得到了相应的一些渐近性质.
In this note,we investigate the tail distortion risk for linear combinations of randomly weighted order statistics,and obtain the asymptotic properties.
引文
[1] LEADBETTER M R,LINDGREN G,ROOTZEN H.Extremes and Related Properties of Random Sequences and Processes[M].New York:Springer New York,1983.
[2] RESNICK S I.Extreme Values,Regular Variation,and Point Processes[M].New York:Springer New York,1987.
[3] ZHU L,LI H.Tail Distortion Risk and Its Asymptotic Analysis[J].Insurance:Mathematics and Economics,2012,51(1):115-121.
[4] ASIMITAV,HASHORVAE,KORYSCHAK D.Asymptotic Tail Probability of Randomly Weighted Large Risks[EB/OL].(2014-05-03)[2017-06-20].http://cn.arxiv.org/pdf/1405.0593v1.
[5] ASIMIT A V,LI J.Extremes for Coherent Risk Measures[J].Insurance:Mathematics and Economics,2016,71:332-341.
[6] MITRA A,RESNICK S I.Aggregation of Rapidly Varying Risks and Asymptotic Independence[J].Advances in Applied Probability,2009,41(3):797-828.
[7] ASIMIT A V,FURMAN E,TANG Q,et al.Asymptotics for Risk Capital Allocations Based on Conditional Tail Expectation[J].Insurance:Mathematics and Economics,2011,49(3):310-324.
[8] HASHORVAE,LI J Z.Tail Behaviour of Weighted Sums of Order Statistics of Dependent Risks[J].Communications in Statistics StochasticModels,2014,31(1):1-19.