Outlier detection in a circular regression model

Recently, there is strong interest on the subject of outlier problem in circular data. In this paper, we focus on detecting outliers in a circular regression model proposed by Down and Mardia. The basic properties of the model are available including the exact form of covariance matrix of the parame...

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Main Authors: Adzhar Rambli, Rossita Mohamad Yunus, Ibrahim Mohamed, Abdul Ghapor Hussin
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2015
Online Access:http://journalarticle.ukm.my/8988/
http://journalarticle.ukm.my/8988/
http://journalarticle.ukm.my/8988/1/15_Adzhar_Rambli.pdf
id ukm-8988
recordtype eprints
spelling ukm-89882016-12-14T06:48:38Z http://journalarticle.ukm.my/8988/ Outlier detection in a circular regression model Adzhar Rambli, Rossita Mohamad Yunus, Ibrahim Mohamed, Abdul Ghapor Hussin, Recently, there is strong interest on the subject of outlier problem in circular data. In this paper, we focus on detecting outliers in a circular regression model proposed by Down and Mardia. The basic properties of the model are available including the exact form of covariance matrix of the parameters. Hence, we intend to identify outliers in the model by looking at the effect of the outliers on the covariance matrix. The method resembles closely the COVRATIO statistic for the case of linear regression problem. The corresponding critical values and the performance of the outlier detection procedure are studied via simulations. For illustration, we apply the procedure on the wind data set. Universiti Kebangsaan Malaysia 2015-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8988/1/15_Adzhar_Rambli.pdf Adzhar Rambli, and Rossita Mohamad Yunus, and Ibrahim Mohamed, and Abdul Ghapor Hussin, (2015) Outlier detection in a circular regression model. Sains Malaysiana, 44 (7). pp. 1027-1032. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid44bil7_2015/KandunganJilid44Bil7_2015.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description Recently, there is strong interest on the subject of outlier problem in circular data. In this paper, we focus on detecting outliers in a circular regression model proposed by Down and Mardia. The basic properties of the model are available including the exact form of covariance matrix of the parameters. Hence, we intend to identify outliers in the model by looking at the effect of the outliers on the covariance matrix. The method resembles closely the COVRATIO statistic for the case of linear regression problem. The corresponding critical values and the performance of the outlier detection procedure are studied via simulations. For illustration, we apply the procedure on the wind data set.
format Article
author Adzhar Rambli,
Rossita Mohamad Yunus,
Ibrahim Mohamed,
Abdul Ghapor Hussin,
spellingShingle Adzhar Rambli,
Rossita Mohamad Yunus,
Ibrahim Mohamed,
Abdul Ghapor Hussin,
Outlier detection in a circular regression model
author_facet Adzhar Rambli,
Rossita Mohamad Yunus,
Ibrahim Mohamed,
Abdul Ghapor Hussin,
author_sort Adzhar Rambli,
title Outlier detection in a circular regression model
title_short Outlier detection in a circular regression model
title_full Outlier detection in a circular regression model
title_fullStr Outlier detection in a circular regression model
title_full_unstemmed Outlier detection in a circular regression model
title_sort outlier detection in a circular regression model
publisher Universiti Kebangsaan Malaysia
publishDate 2015
url http://journalarticle.ukm.my/8988/
http://journalarticle.ukm.my/8988/
http://journalarticle.ukm.my/8988/1/15_Adzhar_Rambli.pdf
first_indexed 2023-09-18T19:53:42Z
last_indexed 2023-09-18T19:53:42Z
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