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Multidimensional unreplicated linear functional relationship model with single slope and its coefficient of determination

Syed Abu Bakar, Syed Abd Rahman and Yun Fah, Chang and Mohd. Rijal, Omar (2010) Multidimensional unreplicated linear functional relationship model with single slope and its coefficient of determination. WSEAS Transactions on Mathematics, 9 (5). 295 - 313. ISSN 1109-2769

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Abstract

Multidimensional unreplicated linear functional relationship model (MULFR) with single slope is considered where p-dimensional measurement errors are introduced. When the ratio of error variances is known, the parameters’ estimation can be considered as a generalization of the unreplicated linear functional relationship model. However, investigation on unbiased property of the estimators are not strict-forward. Taylor approximation is applied to show the intercept and slope estimators are approximately unbiased. The consistency property is discussed using Fisher Information Matrix. The coefficient of determination for MULFR model and its properties are also studied. A simulation study is carried out to evaluate the proposed estimators of the intercept and slope, and the coefficient of determination. This coefficient of determination provides a useful analysis tool for many image processing applications. A numerical example for JPEG compressed image quality assessment is explained.

Item Type:Article
Uncontrolled Keywords:coefficient of determination, image quality, JPEG compression, measurement errors, unreplicated linear functional relationship
Subjects:T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:Electrical Engineering
ID Code:26257
Deposited By: Liza Porijo
Deposited On:29 Jun 2012 03:33
Last Modified:19 Jul 2012 08:25

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