Volume 21 • Number 2 • 1998
 
The Unreplicated Complex Linear Functional Relationship Model and Its Application
Abdul Ghapor Hussin
Abstract. 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.

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