DocumentCode
1932231
Title
P-norm Semiparametric Regression Model
Author
Xiong, Pan
Author_Institution
China Univ. of Geosci., Wuhan
Volume
5
fYear
2007
fDate
19-22 Aug. 2007
Firstpage
2461
Lastpage
2466
Abstract
In this paper, using the kernel weight function, we obtain the parameter estimation of p-norm distribution in semi-parametric regression model, which is effective to decide the distribution of random errors. Under the assumption that the distribution of observations is unimodal and symmetry, this method can give the estimates of the parameters. Finally, two simulated adjustment problem are constructed to explain this method. The new method presented in this paper shows an effective way of solving the problem. The estimated values are nearer to their theoretical ones than those by least squares adjustment approach.
Keywords
maximum likelihood estimation; normal distribution; random processes; regression analysis; kernel weight function; maximum likelihood adjustment; p-norm distribution; parameter estimation; random errors; semiparametric regression model; Cybernetics; Data processing; Geology; Kernel; Least squares approximation; Machine learning; Maximum likelihood estimation; Parameter estimation; Parametric statistics; Robustness; Kernel weight function; Maximum likelihood adjustment; P-norm distributions; Semi-parametric regression;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location
Hong Kong
Print_ISBN
978-1-4244-0973-0
Electronic_ISBN
978-1-4244-0973-0
Type
conf
DOI
10.1109/ICMLC.2007.4370560
Filename
4370560
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