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广义风险过程中渐近方差的非参数估计
引用本文:李浩明,吴达.广义风险过程中渐近方差的非参数估计[J].应用数学学报,2006,29(5):769-777.
作者姓名:李浩明  吴达
作者单位:1. 宁波大学商学院,宁波,315211
2. 莫斯科大学计算数学与控制系,莫斯科,119899
基金项目:浙江省教育厅资助项目;国家自然科学基金
摘    要:本文对广义风险过程中的渐近方差作了非参数估计,得出并证明了两个定理,为广义风险过程中破产概率的区间估计作了理论准备.

关 键 词:广义风险过程  渐近方差  非参数估计  随机序列
收稿时间:2005-11-08
修稿时间:2005-11-082006-09-11

Nonparametric Estimation for the Asymptotic Square Difference Under Generalized Risk Process
LI HAOMING,WU DA.Nonparametric Estimation for the Asymptotic Square Difference Under Generalized Risk Process[J].Acta Mathematicae Applicatae Sinica,2006,29(5):769-777.
Authors:LI HAOMING  WU DA
Affiliation:1.Faculty of Business, Ningbo University, Ningbo 315211;2.Department of Computational Mathematics and Cybernetics of Moscow State University, Moscow 119899
Abstract:We make a nonparametric estimation for the asymptotic square difference under Generalized risk process. Two theorems as well its proffs are demonstrated, the theory basis for ruin probability estimation by a interval under generalized risk process is established.
Keywords:generalized risk process  asymptotic square difference  nonparametric estimation  random sequence
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