Single-index coefficient models for nonlinear time
ries
好词摘抄200个期刊名称: Journal of Nonparametric Statistics
作者: Tracy Z. Wu,Haiqun Lin,Yan Yu
作者机构: JPMorgan Cha Bank,Biostatistics, Business Analytics
年份: 2011年
斗鸡眼
刎颈之交是什么意思期号: 第1-2期
关键词: dimension reduction; forecasting; multivariate; PS; smoothing
parameter; varying- coefficient model
好奇心害死猫摘要:The single-index coefficient model, where the coefficients are functions of an index of a covariat家喻户晓
e vector, is a powerful tool for modelling nonlinearity in multivariate estimation. By reducing the covariate vector to an index which is usually a linear combination of covariates, the single-index coefficient model overcomes the well-known phenomenon of 'cur-of-dimensionality'. We estimate the univariate varying coefficients with penalid splines (PS). An iterative data-driven algorithm is developed, adaptively lecting the index. The algorithm is bad on the obrvation that given an estimated index, the varying-coefficient model using PS is esntially a linear ridge regression with spline bas. Our experiments show that the propod algorithm gives rapid convergence. We also establish large sample properties assuming
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