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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| Format: | Article |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| _version_ | 1796961870652899328 |
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| author | Rambli, Adzhar Mohamed, Ibrahim Shimizu, Kunio Ramli, Norlina Mohd |
| author_facet | Rambli, Adzhar Mohamed, Ibrahim Shimizu, Kunio Ramli, Norlina Mohd |
| author_sort | Rambli, Adzhar |
| collection | UM |
| 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. © 2019 Penerbit Universiti Kebangsaan Malaysia. All rights reserved. |
| first_indexed | 2024-03-06T06:00:34Z |
| format | Article |
| id | um.eprints-23685 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T06:00:34Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | um.eprints-236852020-02-06T01:22:09Z http://eprints.um.edu.my/23685/ A Half-Circular Distribution on a Circle Rambli, Adzhar Mohamed, Ibrahim Shimizu, Kunio Ramli, Norlina Mohd QA Mathematics QA75 Electronic computers. Computer science R Medicine 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. © 2019 Penerbit Universiti Kebangsaan Malaysia. All rights reserved. Penerbit Universiti Kebangsaan Malaysia 2019 Article PeerReviewed Rambli, Adzhar and Mohamed, Ibrahim and Shimizu, Kunio and Ramli, Norlina Mohd (2019) A Half-Circular Distribution on a Circle. Sains Malaysiana, 48 (4). pp. 887-892. ISSN 0126-6039, DOI https://doi.org/10.17576/jsm-2019-4804-21 <https://doi.org/10.17576/jsm-2019-4804-21>. https://doi.org/10.17576/jsm-2019-4804-21 doi:10.17576/jsm-2019-4804-21 |
| spellingShingle | QA Mathematics QA75 Electronic computers. Computer science R Medicine Rambli, Adzhar Mohamed, Ibrahim Shimizu, Kunio Ramli, Norlina Mohd 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 |
| topic | QA Mathematics QA75 Electronic computers. Computer science R Medicine |
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