GANDER N, GOLUB G H, STREBEL R. Fitting of circles and ellipses: Least square solution[J]. BIT, 1994,34(2) : 556-577．
[2]
HULTING F L. Methods for the analysis of coordinate measurement data[J]. Comput Sci Statist, 1992, 24:160-169．
[3]
WATSON G A. Least squares fitting of circles and ellipses to measured data[J]. BIT, 1999, 39(1) : 176-191．
[4]
ANDERSON D A. The circular structual model[J]. J R Statist Soc B, 1981, 43: 131-141．
[5]
BERMAN M, CULPIN D. The statistical behaviour of some least squares estimators of the centre and radius ofa circle[J]. J R Statist Soc B, 1986, 48(2) : 183-196．
[6]
CHAN N N. On circular functional relationships[J]. J R Statist Soc B, 1965, 27: 45-56．
[7]
FANG K T, WANG S G, WEI G. A stratified sampling model in spherical feature inspection using coordinatemeasuring machines[J]. Statistics & Probability Letters, 2001, 51: 25-34．
[8]
WANG C M, LAM C T. A mixed-effects model for the analysis of circular measurements[J]. Technometrics,1997, 39(2) : 119-126．
[9]
WANG S G, FANG K T, ROSEN D. New estimates of the parameters of circular features by mixed-effectsmodels[R]. Technical Report, MATH-328． Hong Kong: Department of Mathematics of Hong Kong BaptistUniversity, 2002．
[10]
王松桂,尹素菊.线性混合模型参数的一种新估计[J].中国科学,2002,32(5) :434-443． WANG Song-gui, YIN Su-ju. A new estimate of the parameters in linear mixed model[J]. Science in China, 2002, 32(5) : 434-443．
[11]
WU H. Optimal exact design on a circle or a circular arc[J]. Ann Statist, 1997, 25(5) : 2020-2043．
[12]
DOWLING M M, GRIFFIN P M, TSUI K L, et al. Statistical issues in geometric feature inspection usingcoordinate measuring machines[J]. Technometrics, 1997, 39(1) : 3-24．
[13]
GRIFFIN P M, MESSIMER S L. Object pose determination from range data[J]. Comput Indust Engng, 1992,22: 245-256．
[14]
WANG S G, FANG K T, WEI G. Efficient of feasible weighted least squares estimators of the center andradius of spherical surface[R]. Technical Report, 1999, MATH-214． Hong Kong: Department of Mathematics ofHong Kong Baptist University, 1999．
[15]
王松桂,史建红,尹素菊,等.线性模型引论[M].北京:科学出版社,2004． WANG Song-gui, SHI Jian-hong, YIN Su-ju, et al. Introduction to Linear Model[M]. Beijing: Science Press, 2004． (in Chinese)
[16]
陈希孺,王松桂.线性模型中的最小二乘法[M].上海:上海科技出版社,2003． CHEN Xi-ru, WANG Song-gui. Least Square Method in Linear Models[M]. Shanghai: Shanghai Science and Technology Press, 2003． (in Chinese)
