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《Engineering of Surveying and Mapping》 2003-04
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Choice of the regular matrix R and smoothing parameter α

HU Hong-chang1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China)  
In literature, for the semiparametric model y=Xa+s(t)+e(i=1,2,...,n), the estimations of parameter a and nonparameter s(t) are effectively obtained using the method of penalized least squares VPV+á R=min,, but choice of the regular matrix R and smothing parameter á are not solved. In the paper, the question is elementarily investigated. Moreover, some methods of choice are obtained and summarized, the researchers who process measuring data can make reference.
【Fund】: 国家自然科学基金资助项目(40274005);; 湖北省教育厅重大项目(2001Z06003)
【CateGory Index】: P207
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