UNBIASED ESTIMATION FORMULA OF UNIT WEIGHT VARIANCE IN
SOLUTION BY PENALIZED LEAST SQUARE
1)Geomatics College, Shandong University of Science and Technology, Qingdao 266510
2)Mining College of Guizhou University, Guiyang 550025
Abstract An unbiased estimation formula is derived from mathematic expectancy formula of residual matrix unit weight variance by penalized least square based on semiparametric model. Numerical test of 500 sample data indicates that the method is effective when there are system errors in the observations.
Key words :
residuals
semi-parametric model
penalized least square
unit weight variance
unbiased estimate
Received: 01 July 2013
Published: 23 January 2014
Cite this article:
Zhang Jun,Du Zhixing,Du Ning et al. UNBIASED ESTIMATION FORMULA OF UNIT WEIGHT VARIANCE IN
SOLUTION BY PENALIZED LEAST SQUARE[J]. jgg, 2014, 34(1): 153-156.
Zhang Jun,Du Zhixing,Du Ning et al. UNBIASED ESTIMATION FORMULA OF UNIT WEIGHT VARIANCE IN
SOLUTION BY PENALIZED LEAST SQUARE[J]. jgg, 2014, 34(1): 153-156.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2014/V34/I1/153
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