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系统工程理论与实践 2011
Nonparametric estimation and comparative analyses of ES in risk measure with applications
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Abstract:
Expected shortfall(ES) model developed recently is a powerful mathematical tool to measure and control financial risk.In this paper,two-step kernel smoothed processes are used to develop a two-step nonparametric estimator of ES.Comparisons between the proposed two-step kernel smoothed ES estimator to the existing fully empirical ES estimator and one-step kernel smoothing ES estimator were made by calculating expectation and variance of them.It is of great interest that the proposed two-step kernel smoothed ...