A linear functional relationship model for circular data with an application to the assessment of ocean wave measurements

2003 ◽  
Vol 8 (2) ◽  
pp. 153-169 ◽  
Author(s):  
S. Caires ◽  
L. R. Wyatt
Keyword(s):  
Linear Functional ◽  
Functional Relationship ◽  
Ocean Wave ◽  
Circular Data ◽  
Wave Measurements ◽  
Relationship Model

scholarly journals Parameter Estimation and Covariance Matrix of the Linear Functional Relationship Model for Circular Variables with Unequal Error Concentrations

2020 ◽  
pp. 1-8
Author(s):  
Nurkhairany Amyra Mokhtar ◽  
Yong Zulina Zubairi ◽  
Abdul Ghapor Hussin ◽  
Nor Hafizah Moslim
Keyword(s):  
Parameter Estimation ◽  
Covariance Matrix ◽  
Linear Functional ◽  
Functional Relationship ◽  
Information Matrix ◽  
Estimation Method ◽  
Real Data ◽  
Circular Data ◽  
Data Set ◽  
Relationship Model

Functional relationship model is used to study the data that are subjected to errors. In this paper, we consider the linear functional relationship model with bivariate circular data where the pair of errors is with unequal concentration parameters. The parameter estimation of the model for circular data is different from linear data due to its wrapped around nature. We propose some improvements on the parameter estimation where some iterative procedures are considered. The concentration parameters are estimated based on the Bessel function. Also, we derive the corresponding covariance matrix of the model based on the Fisher Information matrix. Monte Carlo simulation studies were performed to study the suitability of the estimation method. It is found that the biasness of the estimates is small. Practical application of the method is illustrated by using real data set. Keywords: circular data; covariance matrix; Von Mises distribution; simulation study

scholarly journals Missing Value Estimation Methods for Data in Linear Functional Relationship Model

2017 ◽  
Vol 46 (02) ◽  
pp. 317-326 ◽  
Author(s):  
ADILAH ABDUL GHAPOR ◽  
YONG ZULINA ZUBAIRI ◽  
RAHMATULLAH IMON A.H.M.
Keyword(s):  
Linear Functional ◽  
Functional Relationship ◽  
Estimation Methods ◽  
Missing Value ◽  
Relationship Model ◽  
Value Estimation ◽  
Missing Value Estimation

An Investigation of Causation: The Unreplicated Linear Functional Relationship Model

2006 ◽  
Vol 7 (1) ◽  
pp. 20-26
Author(s):  
Chang Yun Fah ◽  
Abdul Ghapor Hussin ◽  
Omar Mohd Rijal
Keyword(s):  
Linear Functional ◽  
Functional Relationship ◽  
Relationship Model

scholarly journals On Robust Estimation for Slope in Linear Functional Relationship Model

2019 ◽  
Vol 48 (1) ◽  
pp. 237-242
Author(s):  
Azuraini Mohd Arif ◽  
◽  
Yong Zulina Zubairi ◽  
Abdul Ghapor Hussin
Keyword(s):  
Robust Estimation ◽  
Linear Functional ◽  
Functional Relationship ◽  
Relationship Model

scholarly journals AN OUTLIER DETECTION METHOD FOR CIRCULAR LINEAR FUNCTIONAL RELATIONSHIP MODEL USING COVRATIO STATISTICS

2019 ◽  
Vol 38 ◽  
pp. 46-54
Author(s):  
Nurkhairany Amyra Mokhtar ◽  
Yong Zulina Zubairi ◽  
Abdul Ghapor Hussin ◽  
Nor Hafizah Moslim
Keyword(s):  
Outlier Detection ◽  
Linear Functional ◽  
Functional Relationship ◽  
Detection Method ◽  
Relationship Model
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