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...
| Published in: | Sains Malaysiana |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065820712&doi=10.17576%2fjsm-2019-4804-21&partnerID=40&md5=c4c123988bd04d934d125eb2bbeb3625 |
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2-s2.0-85065820712 Rambli A.; Mohamed I.; Shimizu K.; Mohd Ramli N. A half-circular distribution on a circle 2019 Sains Malaysiana 48 4 10.17576/jsm-2019-4804-21 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065820712&doi=10.17576%2fjsm-2019-4804-21&partnerID=40&md5=c4c123988bd04d934d125eb2bbeb3625 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 1266039 English Article All Open Access; Gold Open Access |
| author |
Rambli A.; Mohamed I.; Shimizu K.; Mohd Ramli N. |
| spellingShingle |
Rambli A.; Mohamed I.; Shimizu K.; Mohd Ramli N. A half-circular distribution on a circle |
| author_facet |
Rambli A.; Mohamed I.; Shimizu K.; Mohd Ramli N. |
| author_sort |
Rambli A.; Mohamed I.; Shimizu K.; Mohd Ramli N. |
| 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 |
A half-circular distribution on a circle |
| publishDate |
2019 |
| container_title |
Sains Malaysiana |
| container_volume |
48 |
| container_issue |
4 |
| doi_str_mv |
10.17576/jsm-2019-4804-21 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85065820712&doi=10.17576%2fjsm-2019-4804-21&partnerID=40&md5=c4c123988bd04d934d125eb2bbeb3625 |
| 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. |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| issn |
1266039 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677905964302336 |