To the nonparametric model , we still obtain the rth - mean and completely consistency which generalize and improve the results in [ 4 ] ; to the linear model , we obtain the rth - mean and completely consistency which is a new result ; k )满足较一般性的条件下,仍获得了g 。 )的r阶平均相合性和一致平均相合性,推广和改进了tran在文献的结果,并在加上适当的条件,获得g 。
This paper studies the nonparametric estimates of general weight function of the nonparametric regression function with fixed design points , when the model error is martingale sequence , and we give the optimal convergence rate under some conditions 摘要当误差为鞅差序列时,研究固定设计点列情形下非参数回归函数一般权函数的非参数估计,并在一些基本条件下给出了估计的一致最优强收敛速度。
Partial least squares regression is a new high - dimension - project - based nonparametric analysis method , which is an extension of ordinal least squares ( ols ) to deal with some defects of ols much more efficiently . its basic ideals had been come forth in 1960s early 偏最小二乘( pls )回归是一种基于高维投影思想的新的非参数回归方法,是对一般最小二乘( ols )的改进,比较有效地克服了ols的部分缺点。
All kinds of the methods are proposed to estimate the nonparametric regression function , such as the kernel method , the local polynomial estimators , the smoothing spline , the series estimators ( b - spline estimator . fourier series estimator , wavelet series estimator ) 对于非参数回归人们提出了许多估计方法,如核估计,局部多项式估计,光滑样条估计,级数估计(傅里叶级数估计,小波级数估计)等。
At last , combining the related knowledge of wavelet theory and hidden markov models , we introduce wavelet transformation for nonparametric estimation of hmm ' s and discuss how to choose resolving scale of haar - wavelet orthogonal series " estimation 最后,结合小波理论和隐马尔科夫模型的相关知识,将小波变换应用到隐马尔科夫模型非参数估计问题中来,并探讨了其中haar小波正交级数估计量分解尺度的选取。
Since linear rank statistics has the most popularity in application in nonparametric statistics , this article fabricate the linear rank statistics based on depth function , and discussed its asymptotic property and application . particular result is as follows : 1 由于线性秩统计量是非参数统计中应用最广的一类统计量,所以本文构造了基于深度函数的线性秩统计量,并对其渐近性质和应用做了一些研究,具体结果如下: 1
According to the kernel estimating theory of nonlinear semiparametric models under the least - square principle , the structural formulae of the estimation of parametric and nonparametric components and the direct formulas of kernel estimation considering the second order items were given 摘要基于非线性半参数模型最小二乘核估计,给出了其参数分量和非参数分量估计的构造式,导出了参数分量和非参数分量顾及二次项直接解法的计算公式。