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/ http://journalarticle.ukm.my/13392/ http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf

id	ukm-13392
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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/ http://journalarticle.ukm.my/13392/ http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf
first_indexed	2023-09-18T20:04:45Z
last_indexed	2023-09-18T20:04:45Z
_version_	1777407083890606080

A half-circular distribution on a circle

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