Algorithm 518: Incomplete Bessel Function I0. The Von Mises Distribution [S14]

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Algorithm 518: Incomplete Bessel Function I0. The Von Mises Distribution [S14]

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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 references index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

VMISES (518.gz) (1 KB)

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.
	3	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.
	4	HIL~, G.W. New approximations to the yon Mines distribution. B~ometr~ka 68, 3 (1976), 673-676
	5	I. D. Hill , S. A. Joyce, Algorithm 304: Normal curve integral, Communications of the ACM, v.10 n.6, p.374-375, June 1967 [doi>10.1145/363332.363411]
	6	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.