Monday 21 December 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 42-258
Full Name: Yun fah Chang
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Department of Mathematical Sciences, Universiti Tunku Abdul Rahman, No. 9, Jalan Bersatu 13/4, 46200 Petaling Jaya, Selangor
Country: MALAYSIA
Tel: 79551511
Tel prefix: 603
Fax: 79551611
E-mail address: changyf@utar.edu.my
Other E-mails: cyfah@yahoo.com
Title of the Paper: multidimensional unreplicated linear functional relationship model with single slope and its coefficient of determination
Authors as they appear in the Paper: Yun fah Chang, Omar Mohd rijal, Syed abdul rahman Abu bakar
Email addresses of all the authors: changyf@utar.edu.my,omarrija@um.edu.my,syed@fke.utm.my
Number of paper pages: 19
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 asses!
sment is explained.
Keywords: Coefficient of determination, Image quality, Jpeg compression, Measurement errors, Unreplicated linear functional relationship
EXTENSION of the file: .pdf
Special (Invited) Session:
Organizer of the Session:
How Did you learn about congress: Chang Tiam Chau; Main Library, UTAR, 46200 Petaling Jaya, Selangor, Malaysia; changtc@utar.edu.my
IP ADDRESS: 58.27.19.248