测绘科学技术学报2016，Vol.33Issue(5)：441-446,6.DOI:10.3969/j.issn.1673-6338.2016.05.001
隐式标度因子的总体最小二乘估计方法
Scaled Total Least Squares Method with Implicit Scaled Factor
摘要
Abstract
The defect of the existing scaled total least squares ( STLS) method is investigated in detail, and then a scaled total least squares method with implicit scaled factor ( short for ImSTLS) is proposed. To solve the problem that adjustment criterion form with scaled factor employed by the existing STLS method is inconsistent with actual adjustment result at specific scaled factor, the ImSTLS method establishes the new EIV function model using im-plicit scaled factor which is a creative way to achieve that problem. Moreover, ImSTLS estimation and its variance-covariance matrix derived from a reconstruction form of the function model can be completely formulated by stand-ard least squares theory. Finally, experiment results show the validity of the proposed method for generalizing LS, DLS and TLS is verified, and both determination method and influence of the implicit scaled factor on the adjust-ment result are discussed in detail.关键词
最小二乘法/EIV模型/隐式标度因子/标度总体最小二乘/平差准则Key words
least squares method/errors-in-variables model/implicit scaled factor/scaled total least squares method/adjustment criteria分类
天文与地球科学引用本文复制引用
刘志平,李思达,张秋昭..隐式标度因子的总体最小二乘估计方法[J].测绘科学技术学报,2016,33(5):441-446,6.基金项目
国家自然科学基金项目(41204011 （）
41504032) （）
江苏高校优势学科建设工程项目(SZBF2011-6-B35). （SZBF2011-6-B35）
