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	Nonlinear wavelet estimation of regression function with random desigm
	Zhang, SL ; Zheng, ZG
	1999
关键词	local polynomial estimaltion, nonlinear wavelet estimation, optimal convergence rate regression estimation, threshold Besov space SHRINKAGE
英文摘要	The nonlinear wavelet estimator of regression function with random design is constructed. The optimal uniform convergence rate of the estimator in a ball of Besov space B-p,q(s), is proved under quite general assumpations. The adaptive nonlinear wavelet estimator with near-optimal convergence rate in a wide range of smoothness function classes is also constructed. The properties of the nonlinear wavelet estimator given for random design regression and only with bounded third order moment of the error can be compared with those of nonlinear wavelet estimator given in literature for equal-spaced fixed design regression with i.i.d. Gauss error.; Mathematics, Applied; Mathematics; SCI(E); EI; 2; ARTICLE; 8; 825-833; 42
语种	英语
出处	SCI ; EI
出版者	science in china series a mathematics physics astronomy
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/215327]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang, SL,Zheng, ZG. Nonlinear wavelet estimation of regression function with random desigm. 1999-01-01.

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