Nonlinear wavelet estimation of regression function with random desigm

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：liner1018

【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 Bes

【作者】

：

张双林郑忠国

【机构】

：

1.DepartmentofProbabilityandStatistics

【出处】

：

中国科学：数学英文版

【发表日期】

：

1999年8期

【关键词】

：

local polynominal estimaltion NONLINEAR WAVELET estimation optimal CONVERGENCE

【基金项目】

：

Project supported by Doctoral Programme Foundation,the National Natural Science Foundation of China (Grant No. 19871003),Natural Science Fundation of Heilongjiang Province, China.

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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 Bp,q? is proved under quite genera] assu

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