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Algorithm 518: Incomplete Bessel Function I0. The Von Mises Distribution [S14]
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 3 ,  Issue 3  (September 1977) table of contents
Pages: 279 - 284  
Year of Publication: 1977
ISSN:0098-3500
Author
Geoffrey W. Hill  Division of Mineral Chemistry, CSIRO, Port Melbourne, Australia
Publisher
ACM  New York, NY, USA
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APPENDICES and SUPPLEMENTS
computes the left tail area of the Von Mises distribution, which is equal to the incomplete modified Bessel function of the first kind and zero-th order (I0)
Gams: C10b1,L5a1v


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
ADAMS, A.G. Algorithm 39. Areas under the normal curve Comptr. J. 12 (1969), 197-198.
 
2
AMOS, D.E. Computation of modified Bessel functions and their ratios. Math. Comput 28{ (1974), 239-251.
 
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BATSCHELET, n. Statistical methods for the analysis of problems in animal orientation and certain biological rhythms. Monograph, Amer. Inst. Biol. Sci., Washington, D.C., 1965.
 
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HIL~, G.W. New approximations to the yon Mines distribution. B~ometr~ka 68, 3 (1976), 673-676
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GUMBEL, E.J., GREENWOOD, J.A., AND DURAND, D. The circular normal distribution: theory and tables. J. Amer. Statist. Assn. $8 (1953), 131-152.
 
7
MARDIA, K.V. Slat~stics of Directional Data. Academic Press, New York, 1972.
 
8
MARDIA, K.V., AND ZEMROCK, P.J. Algorithm AS 86. The von Mises distribution function. A ppl. Statist aS (1975), 268-272.
 
9
VoN MIsEs, R. Uber die "Ganzzahlighkeit" der Atomgewicht und verwandte Fragen. Physikahsche Z. 19 (1918), 490-500.


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