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Asian Journal of Mathematics & Statistics
Efficient approximation for the Von Mises concentration parameter.
Author(s)
A. G. Hussin
Centre for Foundation Studies in Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
I. B. Mohamed
Institute of Mathematical Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
Abstract
This study discusses some of the approximation which can be used to obtain the maximum likelihood estimate of the concentration parameter of the Von Mises distribution. This study shows that the efficient approximation may also be obtained by solving the equation for the ratio of the modified Bessel function of first kind of order one and first kind of order zero. The closed-from solution for parameter concentration is also given. We have found out that the new proposed method performs well especially for large k.
Publication Details
Page(s)
165-169
DOI
DOI not available
Published
Journal: Asian Journal of Mathematics & Statistics, Volume: 1, Issue: 3, Year: 2008
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