On the approximation of the concentration parameter for von Mises distribution
The von Mises distribution is the ‘natural’ analogue on the circle of the Normal distribution on the real line and is widely used to describe circular variables. The distribution has two parameters, namely mean direction, and concentration parameter, κ. Solutions to the parameters, however, cannot b...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/21742/ http://umpir.ump.edu.my/id/eprint/21742/1/On%20the%20approximation%20of%20the%20concentration%20parameter%20for%20von%20Mises%20distribution.pdf |
| _version_ | 1848821420860112896 |
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| author | Nor Hafizah, Moslim Yong Zulina, Zubairi Abdul Ghapor, Hussin Siti Fatimah, Hassan Rossita, Mohamad Yunus |
| author_facet | Nor Hafizah, Moslim Yong Zulina, Zubairi Abdul Ghapor, Hussin Siti Fatimah, Hassan Rossita, Mohamad Yunus |
| author_sort | Nor Hafizah, Moslim |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | The von Mises distribution is the ‘natural’ analogue on the circle of the Normal distribution on the real line and is widely used to describe circular variables. The distribution has two parameters, namely mean direction, and concentration parameter, κ. Solutions to the parameters, however, cannot be derived in the closed form. Noting the relationship of the κ to the size of sample, we examine the asymptotic normal behavior of the parameter. The simulation study is carried out and KolmogorovSmirnov test is used to test the goodness of fit for three level of significance values. The study suggests that as sample size and concentration parameter increase, the percentage of samples follow the normality assumption increase. |
| first_indexed | 2025-11-15T02:25:04Z |
| format | Article |
| id | ump-21742 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:25:04Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-217422018-09-19T02:40:38Z http://umpir.ump.edu.my/id/eprint/21742/ On the approximation of the concentration parameter for von Mises distribution Nor Hafizah, Moslim Yong Zulina, Zubairi Abdul Ghapor, Hussin Siti Fatimah, Hassan Rossita, Mohamad Yunus Q Science (General) The von Mises distribution is the ‘natural’ analogue on the circle of the Normal distribution on the real line and is widely used to describe circular variables. The distribution has two parameters, namely mean direction, and concentration parameter, κ. Solutions to the parameters, however, cannot be derived in the closed form. Noting the relationship of the κ to the size of sample, we examine the asymptotic normal behavior of the parameter. The simulation study is carried out and KolmogorovSmirnov test is used to test the goodness of fit for three level of significance values. The study suggests that as sample size and concentration parameter increase, the percentage of samples follow the normality assumption increase. Penerbit UTM Press 2017 Article PeerReviewed pdf en cc_by_nc_4 http://umpir.ump.edu.my/id/eprint/21742/1/On%20the%20approximation%20of%20the%20concentration%20parameter%20for%20von%20Mises%20distribution.pdf Nor Hafizah, Moslim and Yong Zulina, Zubairi and Abdul Ghapor, Hussin and Siti Fatimah, Hassan and Rossita, Mohamad Yunus (2017) On the approximation of the concentration parameter for von Mises distribution. Malaysian Journal of Fundamental and Applied Sciences, SI. pp. 390-393. ISSN 2289-5981 (Print); 2289-599x (Online). (Published) https://doi.org/10.11113/mjfas.v13n4-1.807 10.11113/mjfas.v13n4-1.807 |
| spellingShingle | Q Science (General) Nor Hafizah, Moslim Yong Zulina, Zubairi Abdul Ghapor, Hussin Siti Fatimah, Hassan Rossita, Mohamad Yunus On the approximation of the concentration parameter for von Mises distribution |
| title | On the approximation of the concentration parameter for von Mises distribution |
| title_full | On the approximation of the concentration parameter for von Mises distribution |
| title_fullStr | On the approximation of the concentration parameter for von Mises distribution |
| title_full_unstemmed | On the approximation of the concentration parameter for von Mises distribution |
| title_short | On the approximation of the concentration parameter for von Mises distribution |
| title_sort | on the approximation of the concentration parameter for von mises distribution |
| topic | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/21742/ http://umpir.ump.edu.my/id/eprint/21742/ http://umpir.ump.edu.my/id/eprint/21742/ http://umpir.ump.edu.my/id/eprint/21742/1/On%20the%20approximation%20of%20the%20concentration%20parameter%20for%20von%20Mises%20distribution.pdf |