Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/66824
Title: A New Efficient Approximation for Concentration Parameter of Circular Data
Authors: Siti Zabariah Satari"
Abdul Ghapor Hussin
Yang Zulina Zubairi
Keywords: Mean resultant length
concentration parameter
modified Bessel function
von Mises distribution
maximum likelihood estimator
Issue Date: 2015
Publisher: Science Faculty of Chiang Mai University
Citation: Chiang Mai Journal of Science 42, 2 (April 2015), 528 - 537
Abstract: 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 .
URI: http://it.science.cmu.ac.th/ejournal/dl.php?journal_id=5774
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66824
ISSN: 0125-2526
Appears in Collections:CMUL: Journal Articles

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