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《中国科学:数学》2014,(10):I0001-I0005
<正>Tail asymptotic expansions for L-statistics HASHORVA Enkelejd,LING ChengXiuPENG ZuoXiang Abstract We derive higher-order expansions of L-statistics of independent risks X1,...,Xn under conditions on the underlying distribution function F.The new results are applied to derive the asymptotic expansions of ratios of two kinds of risk measures,stop-loss premium and excess return on capital,respectively.Several examples and 相似文献
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《中国科学:数学》2014,(7):J0001-J0006
<正>Efficient implementation of the Barnes-Hut octree algorithm for Monte Carlo simulations of charged systems GAN ZeChengXU ZhenLi Abstract Computer simulation with Monte Carlo is an important tool to investigate the function and equilibrium properties of many biological and soft matter materials solvable in solvents.The appropriate treatment of longrange electrostatic interaction is essential for these charged systems, 相似文献
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《中国科学:数学》2014,(12):I0001-I0006
<正>An SDP randomized approximation algorithm for max hypergraph cut with limited unbalance XU Bao Gang,YU Xing Xing,ZHANG Xiao YanZHANG Zan-Bo Abstract We consider the design of semidefinite programming(SDP)based approximation algorithm for the problem Max Hypergraph Cut with Limited Unbalance(MHC-LU):Find a partition of the vertices of a weighted hypergraph H=(V,E)into two subsets V1,V2with||V2|-|V1||u for some given u and maximizing the total weight of the edges meeting both V1and V2.The problem MHC-LU generalizes several other combinatorial 相似文献
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