Parameter estimation and outlier detection for some types of circular model
This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the con...
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| Format: | Thesis |
| Language: | English |
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2015
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| Online Access: | http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf |
| _version_ | 1796991495177240576 |
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| author | Siti Zanariah, Satari |
| author_facet | Siti Zanariah, Satari |
| author_sort | Siti Zanariah, Satari |
| collection | UMP |
| description | This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises
distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study. |
| first_indexed | 2024-03-06T12:06:19Z |
| format | Thesis |
| id | UMPir14057 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:06:19Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | UMPir140572021-11-17T04:29:57Z http://umpir.ump.edu.my/id/eprint/14057/ Parameter estimation and outlier detection for some types of circular model Siti Zanariah, Satari QA Mathematics This study focuses on the parameter estimation and outlier detection for some types of the circular model. We first look at the concentration parameter of von Mises distribution. The von Mises distribution is the most commonly used probability distribution of a circular random variable, and the concentration of a circular data set is measured using the mean resultant length. We propose a new and efficient approximation of the concentration parameter estimates using two approaches, namely, the roots of a polynomial function and minimizing the negative value of the log-likelihood function in this study. 2015 Thesis NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf Siti Zanariah, Satari (2015) Parameter estimation and outlier detection for some types of circular model. PhD thesis, University of Malaya (Contributors, UNSPECIFIED: UNSPECIFIED). |
| spellingShingle | QA Mathematics Siti Zanariah, Satari Parameter estimation and outlier detection for some types of circular model |
| title | Parameter estimation and outlier detection for some types of circular model |
| title_full | Parameter estimation and outlier detection for some types of circular model |
| title_fullStr | Parameter estimation and outlier detection for some types of circular model |
| title_full_unstemmed | Parameter estimation and outlier detection for some types of circular model |
| title_short | Parameter estimation and outlier detection for some types of circular model |
| title_sort | parameter estimation and outlier detection for some types of circular model |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/14057/19/Parameter%20estimation%20and%20outlier%20detection%20for%20some%20types%20of%20circular%20model.pdf |
| work_keys_str_mv | AT sitizanariahsatari parameterestimationandoutlierdetectionforsometypesofcircularmodel |