The Unreplicated Complex Linear Functional Relationship Model and Its Application
Bulletin of the Malaysian Mathematical Society, Tome 21 (1998) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A model is developed by fitting a straight line when both the variables are circular, subject to measurement and other errors. This is done by extending the complex linear regression model, called the unreplicated complex linear functional relationship model. This paper deals with the maximum likelihood estimation of this model assuming the ratio between the two error variances is known. We also show that the closed-form expression for the maximum likelihood estimators are not available and the estimates may be obtained iteratively by choosing a suitable initial value. The model is illustrated with an application to the analysis of the wind direction data recorded by two different techniques: the HF radar system and the anchored wave buoy.
@article{BMMS_1998_21_2_a2,
     author = {Abdul Ghapor Hussin},
     title = {The {Unreplicated} {Complex} {Linear
}                        {Functional} {Relationship} {Model} and {Its} {Application}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {1998},
     volume = {21},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_1998_21_2_a2/}
}
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                        Functional Relationship Model and Its Application
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%A Abdul Ghapor Hussin
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                        Functional Relationship Model and Its Application
%J Bulletin of the Malaysian Mathematical Society
%D 1998
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/BMMS_1998_21_2_a2/
%F BMMS_1998_21_2_a2
Abdul Ghapor Hussin. The Unreplicated Complex Linear
                        Functional Relationship Model and Its Application. Bulletin of the Malaysian Mathematical Society, Tome 21 (1998) no. 2. http://geodesic.mathdoc.fr/item/BMMS_1998_21_2_a2/