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Some confidence intervals for large concentration parameter in von mises distribution.

Author(s)
S. F. Hassan Centre for Foundation Studies in Science, University of Malaya, Malaysia
Y. Z. Zubairi Centre for Foundation Studies in Science, University of Malaya, Malaysia
A. G. Hussin Faculty of Defence Sciences and Technology, National Defence University of Malaysia, Kuala Lumpur, Malaysia
S. Z. Satari Faculty of Defence Sciences and Technology, National Defence University of Malaysia, Kuala Lumpur, Malaysia
Abstract
Von Mises distribution, also known as the natural analog of the normal distribution on real line, has two parameters namely the mean direction and concentration parameter. This paper considers the problem related to finding the best confidence intervals (CI) for a large concentration parameter. Various CI are derived and their performances are evaluated via simulation studies. We found that the CI based on asymptotic distribution of kˆ and CI based on Bootstrap-t Method are good in terms of coverage probability even though the CI based on distribution of mean direction and resultant length gives shorter expected length.
Publication Details
Page(s) 273-284
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 30, Issue: 2, Year: 2014

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