Alternative formulae for parameter estimation in partial errors-in-variables models

作者：Shi, Yun; Xu, Peiliang^*; Liu, Jingnan; Shi, Chuang

来源：Journal of Geodesy, 2015, 89(1): 13-16.

DOI：10.1007/s00190-014-0756-2

• Errors-in-variables
• Partial EIV model
• Structured EIV model
• Total least squares

The purpose of this note is to derive alternative formulae for parameter estimation in partial errors-in-variables models to those given in Xu et al. (J Geod 86:661-675, 2012). We show that these new formulae are more compact and more straightforward to interpret the corrections of the random elements of the design matrix. Nevertheless, each formula has its own computational advantage, depending on the relationship between the number of measurements y and that of the independent random elements of the design matrix. The original formula is computationally more efficient, if the number of measurements y is significantly larger than that of the independent random elements of the design matrix; otherwise, the new alternative formula is much more efficient.

• 出版日期2015-1
• 单位西安科技大学; 武汉大学; 防灾科技学院