DocumentCode
2681526
Title
Notice of Retraction
Maximum likelihood adjustment of the monadic unsymmetrical P-norm distribution
Author
Zhao Chunru ; Cheng Shaojie ; Pan Xiong
Author_Institution
Fac. of Inf. Eng., China Univ. of Geosci., Wuhan, China
Volume
5
fYear
2010
fDate
27-29 March 2010
Firstpage
181
Lastpage
184
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
According to the magnitudes of the measuring errors, the measuring errors distribution is determined by using the distribution collocation test method or figure method, but it is difficult to obtain the specific distribution. According to the foundational properties of the random errors, this paper deduces a more general error distribution-the unsymmetrical P-norm distribution, and then discussing the maximum likelihood adjustment of the p-norm distribution in detail. The distributions of degenerate, Laplace, normal and rectangular are the specific cases of the unsymmetrical P-norm distribution respectively. The maximum likelihood adjustment method of the unsymmetrical P-norm distribution is proposed, and the foundational equations of the adjustment are given. For each concrete measuring data, we can select a suitable value for p to make the theoretical model of the error distribution which is used in the data processing be more closer to the true errors distribution than the normal distribution.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
According to the magnitudes of the measuring errors, the measuring errors distribution is determined by using the distribution collocation test method or figure method, but it is difficult to obtain the specific distribution. According to the foundational properties of the random errors, this paper deduces a more general error distribution-the unsymmetrical P-norm distribution, and then discussing the maximum likelihood adjustment of the p-norm distribution in detail. The distributions of degenerate, Laplace, normal and rectangular are the specific cases of the unsymmetrical P-norm distribution respectively. The maximum likelihood adjustment method of the unsymmetrical P-norm distribution is proposed, and the foundational equations of the adjustment are given. For each concrete measuring data, we can select a suitable value for p to make the theoretical model of the error distribution which is used in the data processing be more closer to the true errors distribution than the normal distribution.
Keywords
maximum likelihood estimation; Laplace distribution; data processing; distribution collocation test method; foundational equation; general error distribution; maximum likelihood adjustment; measuring errors distribution; monadic unsymmetrical P-norm distribution; Concrete; Data processing; Density functional theory; Gaussian distribution; Geology; Laplace equations; Maximum likelihood estimation; Symmetric matrices; Testing; Lp estimation; maximum likelihood adjustment; measure errors; statistical properties;
fLanguage
English
Publisher
ieee
Conference_Titel
Advanced Computer Control (ICACC), 2010 2nd International Conference on
Conference_Location
Shenyang
Print_ISBN
978-1-4244-5845-5
Type
conf
DOI
10.1109/ICACC.2010.5487254
Filename
5487254
Link To Document