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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf |
| _version_ | 1796931865039339520 |
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| author | Adzhar Rambli, Ibrahim Mohamed, Shimizu, Kunio Norlina Mohd Ramli, |
| author_facet | Adzhar Rambli, Ibrahim Mohamed, Shimizu, Kunio Norlina Mohd Ramli, |
| author_sort | Adzhar Rambli, |
| collection | UKM |
| 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. |
| first_indexed | 2024-03-06T04:24:21Z |
| format | Article |
| id | ukm.eprints-13392 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:24:21Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-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 |
| spellingShingle | Adzhar Rambli, Ibrahim Mohamed, Shimizu, Kunio Norlina Mohd Ramli, A half-circular distribution on a circle |
| title | 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_short | A half-circular distribution on a circle |
| title_sort | half circular distribution on a circle |
| url | http://journalarticle.ukm.my/13392/1/21%20Adzhar%20Rambli.pdf |
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