A New Efficient Approximation for Concentration Parameter of Circular Data
New and efficient approximations of the concentration parameter of circular data using two approaches are proposed in this paper. First, we consider the power series expansion of mean resultant length and the estimate of concentration parameter may be obtained by the roots of the polynomial funct...
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Chiangmai University
2015
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| オンライン･アクセス: | http://umpir.ump.edu.my/id/eprint/12731/1/2015%20Siti%20zanariah%20et%20al%20new%20efficient%20approximation%20for%20concentration%20parameter%20of%20circular%20data.pdf http://umpir.ump.edu.my/id/eprint/12731/7/fist-2015-zanariah-new%20efficient%20approximation-full.pdf http://umpir.ump.edu.my/id/eprint/12731/ http://epg.science.cmu.ac.th/ejournal/dl.php?journal_id=5774 |
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my.ump.umpir.127312018-03-20T05:28:30Z http://umpir.ump.edu.my/id/eprint/12731/ A New Efficient Approximation for Concentration Parameter of Circular Data Siti Zanariah, Satari Abdul Ghapor, Hussin Yong Zulina, Zubairi QA Mathematics New and efficient approximations of the concentration parameter of circular data using two approaches are proposed in this paper. First, we consider the power series expansion of mean resultant length and the estimate of concentration parameter may be obtained by the roots of the polynomial function. Secondly, we consider the power series expansion of the reciprocal of a Bessel function in the log-likelihood function of the concentration parameter and the estimate of concentration parameter may be obtained by minimizing the negative value of the log-likelihood function. It is found that the new approximation solutions are more efficient compared to the other existing approximation solutions especially for large kappa. Chiangmai University 2015-04 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/12731/1/2015%20Siti%20zanariah%20et%20al%20new%20efficient%20approximation%20for%20concentration%20parameter%20of%20circular%20data.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/12731/7/fist-2015-zanariah-new%20efficient%20approximation-full.pdf Siti Zanariah, Satari and Abdul Ghapor, Hussin and Yong Zulina, Zubairi (2015) A New Efficient Approximation for Concentration Parameter of Circular Data. Chiang Mai Journal of Science, 42 (2). pp. 528-537. ISSN 0125-2526. (Published) http://epg.science.cmu.ac.th/ejournal/dl.php?journal_id=5774 |
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QA Mathematics Siti Zanariah, Satari Abdul Ghapor, Hussin Yong Zulina, Zubairi A New Efficient Approximation for Concentration Parameter of Circular Data |
| description |
New and efficient approximations of the concentration parameter of circular data
using two approaches are proposed in this paper. First, we consider the power series expansion
of mean resultant length and the estimate of concentration parameter may be obtained by the
roots of the polynomial function. Secondly, we consider the power series expansion of the
reciprocal of a Bessel function in the log-likelihood function of the concentration parameter
and the estimate of concentration parameter may be obtained by minimizing the negative
value of the log-likelihood function. It is found that the new approximation solutions are
more efficient compared to the other existing approximation solutions especially for large kappa. |
| format |
Article |
| author |
Siti Zanariah, Satari Abdul Ghapor, Hussin Yong Zulina, Zubairi |
| author_facet |
Siti Zanariah, Satari Abdul Ghapor, Hussin Yong Zulina, Zubairi |
| author_sort |
Siti Zanariah, Satari |
| title |
A New Efficient Approximation for Concentration Parameter of Circular Data |
| title_short |
A New Efficient Approximation for Concentration Parameter of Circular Data |
| title_full |
A New Efficient Approximation for Concentration Parameter of Circular Data |
| title_fullStr |
A New Efficient Approximation for Concentration Parameter of Circular Data |
| title_full_unstemmed |
A New Efficient Approximation for Concentration Parameter of Circular Data |
| title_sort |
new efficient approximation for concentration parameter of circular data |
| publisher |
Chiangmai University |
| publishDate |
2015 |
| url |
http://umpir.ump.edu.my/id/eprint/12731/1/2015%20Siti%20zanariah%20et%20al%20new%20efficient%20approximation%20for%20concentration%20parameter%20of%20circular%20data.pdf http://umpir.ump.edu.my/id/eprint/12731/7/fist-2015-zanariah-new%20efficient%20approximation-full.pdf http://umpir.ump.edu.my/id/eprint/12731/ http://epg.science.cmu.ac.th/ejournal/dl.php?journal_id=5774 |
| _version_ |
1822917450955489280 |
| score |
13.250345 |