Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998em%26p...81..135h&link_type=abstract
Earth, Moon, and Planets, v. 81, Issue 2, p. 135-143 (2000).
Astronomy and Astrophysics
Astronomy
Adaptive Ridge Regression, Astrometry, Data Analysis, Earth Rotation Parameters, Lunar Laser Ranging
Scientific paper
The multicollinearity among regression variables is a common phenomenon in the reduction of astronomical data. The phenomenon of multicollinearity and the diagnostic factors are introduced first. As a remedy, a new method, called adaptive ridge regression (ARR), which is an improved method of choosing the departure constant θ in ridge regression, is suggested and applied in a case that the Earth orientation parameters (EOP) are determined by lunar laser ranging (LLR). It is pointed out, via a diagnosis, the variance inflation factors (VIFs), that there exists serious multicollinearity among the regression variables. It is shown that the ARR method is effective in reducing the multicollinearity and makes the regression coefficients more stable than that of using ordinary least squares estimation (LS), especially when there is serious multicollinearity.
Huang Chengli
Jin Wenjing
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