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In the case where ρ is convex we give a set of sufficient conditions for the strong consistency of M-estimate of multiple regression coefficients.
摘要 Consider the regression model Y_i=u(x_i)+ε_i,i=1,2,…,n, where u(x)∈W_(2,per)~2[0,1],x_i=(i-1)/n,{ε_i}_1^nare i.i.d, random variables. We use the periodic smoothing spline u_(λp)(x)to estimate u(x)....
This paper discusses the strong consistency of M estimator of regression parameter in linear model for negatively associated samples. As a result, the author extends Theorem 1 and Theorem 2 of Shancha...
In this paper, a counter-example is presented to show that conditions given by[1] and [2] are not enough to guarantee the consistency of resampling estimators of varianceof trimmed L-statistics. To th...
Strong uniform consistency rates are given for kernel type estimators of the conditional function with \varphi-mixing sample. Especially, for nonparametrice stimators of kernel density, the regression...
Let {(X_n, Y_n} be a -mixing sequence. On the basis of (X_1, Y_1 ),... ,(X_n, Y_n),E(β(Y)|X = x) is estimated by kernel estimators, approved kernel estimators and random window width estboators. Under...
专著信息 书名 A new approach treating constrained systems based on the consistency conditions of constraints. 语种 英文 撰写或编译 作者 Zheng-wen Long and Bo Liu 第一作者单位 出版社 Modern Phys.Lett. A, 18, 2273-2280. 2003(SCI...

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