A Constrained Interval-Valued Linear Regression Model: A New Heteroscedasticity Estimation Method

2020 ◽  
Vol 33 (6) ◽  
pp. 2048-2066
Author(s):  
Yu Zhong ◽  
Zhongzhan Zhang ◽  
Shoumei Li
Keyword(s):  
Linear Regression ◽  
Regression Model ◽  
Linear Regression Model ◽  
Estimation Method ◽  
Interval Valued

scholarly journals RESEARCH ON GPS HEIGHT FITTING BASED ON LINEAR REGRESSION MODEL

2020 ◽  
Vol XLII-3/W10 ◽  
pp. 1189-1195
Author(s):  
K. Y. Yang ◽  
L. L. Liu ◽  
L. K. Huang
Keyword(s):  
Linear Regression ◽  
Regression Model ◽  
Linear Regression Model ◽  
Estimation Method ◽  
Regression Equation ◽  
Accuracy Evaluation ◽  
Gps Survey ◽  
Level Measurement ◽  
Fourth Level ◽  
Fitting Model

Abstract. This paper mainly expounds the parameter estimation method, the outlier diagnosis and the establishment of the optimal regression equation in the linear regression model theory, the analysis of the principle of the polynomial fitting model, the derivation of the algorithm process, and the research on the accuracy evaluation method.The GPS survey area is fitted and calculated. The fitting model is analyzed and compared in detail. The better parameter values and regression equation models of the planar region are estimated. The fitting accuracy meets the requirements of the fourth level measurement, which can be used in actual engineering. Replace the fourth level measurement in the application.

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