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1. and a criteria to choose the smoothing parameter of the bandwidth is suggested
   另外，我們給出了的光滑參數(shù)的選取方法
2. the choice of smoothing parameter can be automatically obtained by using generalized cross-validation function
   自編程序進(jìn)行計(jì)算，得到了回歸參數(shù)向量和樣條函數(shù)的補(bǔ)償最小二乘估計(jì)。
3. (2 ) in this paper, using [ v, g ( ti ) ] n, h = m ( v, ( 1 ) yi ( 1 ) …, vi ( h ) yi ( h ) ) to the estimator of and g ( t ) of the semi-parametric regression model, and h is the smoothing parameter
   (2)對(duì)半?yún)?shù)回歸模型中的參數(shù)部分和非參數(shù)部分g(t)，用最近鄰中位數(shù)估計(jì)去估計(jì)它們，其中h稱為光滑參數(shù)。
4. the one-step non-interior continuation method of chen and xiu for lcps is refined in chapter four . it is extended to nlps . the control parameter is replaced by the smoothing parameter in the perturbation term of newton step
   第四章細(xì)化了chen-xiu求解線性互補(bǔ)問(wèn)題的一步非內(nèi)點(diǎn)延拓算法，并且推廣到非線性互補(bǔ)問(wèn)題。
5. based on tikhonov regularization method and considering sufficiently the practice of geodesy, the main thread of the choice of the regularizer and the determination of the smoothing parameters is grasped and the in-depth research on the ill-posed problems in geodesy is carried out . a framework of the theory and methods of systematically processing the ill-posed problems has been established and tikhonov regularization method has been evolved in this paper
   本文基于tikhonov正則化方法和歐吉坤研究員提出的選權(quán)擬合的研究思路，充分考慮大地測(cè)量實(shí)際，抓住正則化矩陣的選取和正則化參數(shù)的確定這條主線，對(duì)大地測(cè)量中的不適定問(wèn)題進(jìn)行了深入研究，建立起了一套較系統(tǒng)的不適定問(wèn)題處理理論及方法的框架，進(jìn)一步發(fā)展了tikhonov正則化方法。