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A half-circular distribution on a circle

Up to now, circular distributions are defined in [0,2 π), except for axial distributions on a semicircle. However, some circular data lie within just half of this range and thus may be better fitted by a half-circular distribution, which we propose and develop in this paper using the inverse stereog...

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Main Authors: Adzhar Rambli,, Ibrahim Mohamed,, Shimizu, Kunio, Norlina Mohd Ramli,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf
http://journalarticle.ukm.my/13392/
http://www.ukm.my/jsm/malay_journals/jilid48bil4_2019/KandunganJilid48Bil4_2019.html
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spelling my-ukm.journal.133922019-09-20T23:06:29Z http://journalarticle.ukm.my/13392/ A half-circular distribution on a circle Adzhar Rambli, Ibrahim Mohamed, Shimizu, Kunio Norlina Mohd Ramli, Up to now, circular distributions are defined in [0,2 π), except for axial distributions on a semicircle. However, some circular data lie within just half of this range and thus may be better fitted by a half-circular distribution, which we propose and develop in this paper using the inverse stereographic projection technique on a gamma distributed variable. The basic properties of the distribution are derived while its parameters are estimated using the maximum likelihood estimation method. We show the practical value of the distribution by applying it to an eye data set obtained from a glaucoma clinic at the University of Malaya Medical Centre, Malaysia. Penerbit Universiti Kebangsaan Malaysia 2019-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf Adzhar Rambli, and Ibrahim Mohamed, and Shimizu, Kunio and Norlina Mohd Ramli, (2019) A half-circular distribution on a circle. Sains Malaysiana, 48 (4). pp. 887-892. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil4_2019/KandunganJilid48Bil4_2019.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description Up to now, circular distributions are defined in [0,2 π), except for axial distributions on a semicircle. However, some circular data lie within just half of this range and thus may be better fitted by a half-circular distribution, which we propose and develop in this paper using the inverse stereographic projection technique on a gamma distributed variable. The basic properties of the distribution are derived while its parameters are estimated using the maximum likelihood estimation method. We show the practical value of the distribution by applying it to an eye data set obtained from a glaucoma clinic at the University of Malaya Medical Centre, Malaysia.
format Article
author Adzhar Rambli,
Ibrahim Mohamed,
Shimizu, Kunio
Norlina Mohd Ramli,
spellingShingle Adzhar Rambli,
Ibrahim Mohamed,
Shimizu, Kunio
Norlina Mohd Ramli,
A half-circular distribution on a circle
author_facet Adzhar Rambli,
Ibrahim Mohamed,
Shimizu, Kunio
Norlina Mohd Ramli,
author_sort Adzhar Rambli,
title A half-circular distribution on a circle
title_short A half-circular distribution on a circle
title_full A half-circular distribution on a circle
title_fullStr A half-circular distribution on a circle
title_full_unstemmed A half-circular distribution on a circle
title_sort half-circular distribution on a circle
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf
http://journalarticle.ukm.my/13392/
http://www.ukm.my/jsm/malay_journals/jilid48bil4_2019/KandunganJilid48Bil4_2019.html
_version_ 1646024352127254528
score 13.211869

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