Bias-Corrected Estimation of Unit Weight Variance for Liu-Type Estimator of Ill-Posed Model
Abstract In this paper, we correct the deviation in the residual and derive the almost unbiased formula for calculating the unit weight variance for Liu-type estimator based on the quadratic mathematical expectation formula. The analysis results of two examples show that the unit weight variance computed by the formula of this paper is closer to the true value than that by traditional formula, which is based on the biased residual.
Key words :
ill-posed model
Liu-type estimation
bias correction; 
unit weight variance
Cite this article:
DING Binfen,AN Jieyu. Bias-Corrected Estimation of Unit Weight Variance for Liu-Type Estimator of Ill-Posed Model[J]. jgg, 2021, 41(12): 1249-1252.
DING Binfen,AN Jieyu. Bias-Corrected Estimation of Unit Weight Variance for Liu-Type Estimator of Ill-Posed Model[J]. jgg, 2021, 41(12): 1249-1252.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2021/V41/I12/1249
[1]
ZOU Shilin,WU Xing,WANG Fengwei. Regularized Robust Solution for Ill-Posed Weighted Total Least Squares Model [J]. jgg, 2021, 41(11): 1106-1110.
[2]
MAO Yunlei,ZOU Shilin,WU Xing. Truncated Regularized Solution to Ill-Posed Model and ItsUnbiased Estimation of Unit Weighted Variance
[J]. jgg, 2020, 40(4): 411-416.
[3]
WANG Leyang,DING Rui,WU Lulu. Partial EIV Model Variance Component Estimation and Accuracy Evaluation of SUT Method by Deviation Correction [J]. jgg, 2019, 39(7): 711-716.
[4]
Zhang Jun,Du Zhixing,Du Ning,Zhang Xianyun. UNBIASED ESTIMATION FORMULA OF UNIT WEIGHT VARIANCE IN
SOLUTION BY PENALIZED LEAST SQUARE [J]. jgg, 2014, 34(1): 153-156.
[5]
Wang Leyang;. RESEARCH ON PROPERTIES OF TOTAL LEAST SQUARES ESTIMATION [J]. , 2012, 32(5): 48-52.
[6]
Yuan Zhenchao ;Shen Yunzhong;and Zhou Zebo . REGULARIZED TOTAL LEAST-SQUARES SOLUTION TO ILL-POSED ERROR-IN-VARIABLE MODEL [J]. , 2009, 29(2): 131-135.