A New Functional Relationship Model for Circular Variables

A new functional relationship model for circular variables which is an extended version of a circular-circular regression model proposed by Down and Mardia (2002) is developed in this paper. Both the dependent and independent variables in the model are subjected to errors. The parameters estimation...

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Main Authors:	Siti Zanariah, Satari, A. G., Hussin, Y. Z., Zubairi, S. F., Hassan
Format:	Article
Language:	English
Published:	Pakistan Journal of Statistics 2014
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/6158/ http://umpir.ump.edu.my/id/eprint/6158/ http://umpir.ump.edu.my/id/eprint/6158/1/A_new_functional_relationship_model_for_circular_variables.pdf

id	ump-6158
recordtype	eprints
spelling	ump-61582018-03-20T05:29:27Z http://umpir.ump.edu.my/id/eprint/6158/ A New Functional Relationship Model for Circular Variables Siti Zanariah, Satari A. G., Hussin Y. Z., Zubairi S. F., Hassan Q Science (General) A new functional relationship model for circular variables which is an extended version of a circular-circular regression model proposed by Down and Mardia (2002) is developed in this paper. Both the dependent and independent variables in the model are subjected to errors. The parameters estimation of the model is done by minimizing the negative value of the log-likelihood function. Model verification and its behavior are examined using simulation study with random data. We also derived a Fisher Information Matrix of parameters with the variance and covariance in this new model. As an illustration, a wind direction data obtained using two tools, HF radar x and anchored buoy  y is considered. It is shown that the estimator has small bias thus suggesting the superiority of the new proposed model. Pakistan Journal of Statistics 2014 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/6158/1/A_new_functional_relationship_model_for_circular_variables.pdf Siti Zanariah, Satari and A. G., Hussin and Y. Z., Zubairi and S. F., Hassan (2014) A New Functional Relationship Model for Circular Variables. Pakistan Journal of Statistics, 30 (3). pp. 397-410. ISSN 1012-9367 http://www.pakjs.com/journals//30(3)/30(3)8.pdf
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Siti Zanariah, Satari A. G., Hussin Y. Z., Zubairi S. F., Hassan A New Functional Relationship Model for Circular Variables
description	A new functional relationship model for circular variables which is an extended version of a circular-circular regression model proposed by Down and Mardia (2002) is developed in this paper. Both the dependent and independent variables in the model are subjected to errors. The parameters estimation of the model is done by minimizing the negative value of the log-likelihood function. Model verification and its behavior are examined using simulation study with random data. We also derived a Fisher Information Matrix of parameters with the variance and covariance in this new model. As an illustration, a wind direction data obtained using two tools, HF radar x and anchored buoy  y is considered. It is shown that the estimator has small bias thus suggesting the superiority of the new proposed model.
format	Article
author	Siti Zanariah, Satari A. G., Hussin Y. Z., Zubairi S. F., Hassan
author_facet	Siti Zanariah, Satari A. G., Hussin Y. Z., Zubairi S. F., Hassan
author_sort	Siti Zanariah, Satari
title	A New Functional Relationship Model for Circular Variables
title_short	A New Functional Relationship Model for Circular Variables
title_full	A New Functional Relationship Model for Circular Variables
title_fullStr	A New Functional Relationship Model for Circular Variables
title_full_unstemmed	A New Functional Relationship Model for Circular Variables
title_sort	new functional relationship model for circular variables
publisher	Pakistan Journal of Statistics
publishDate	2014
url	http://umpir.ump.edu.my/id/eprint/6158/ http://umpir.ump.edu.my/id/eprint/6158/ http://umpir.ump.edu.my/id/eprint/6158/1/A_new_functional_relationship_model_for_circular_variables.pdf
first_indexed	2023-09-18T22:01:42Z
last_indexed	2023-09-18T22:01:42Z
_version_	1777414441205235712

A New Functional Relationship Model for Circular Variables

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