No CrossRef data available.
Article contents
On the infinite divisibility of the von Mises distribution
Published online by Cambridge University Press: 09 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
It is shown, by use of a Bochner-type condition for infinite divisibility, that the von Mises distribution is infinitely divisible for some values of the concentration parameter k, certainly for k < 0.16.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 22 , Issue 3 , November 1976 , pp. 332 - 342
- Copyright
- Copyright © Australian Mathematical Society 1976
References
Grenander, U. and Szegö, G. (1958), Toeplitz Forms and their Applications (University of California Press, Berkeley and Los Angeles, 1958).CrossRefGoogle Scholar
Johansen, S. (1966), ‘An application of extreme point methods to the representation of infinitely divisible distributions’, Z. Wahrscheinlichkeitstheorie verw. Geb. 5, 304–316.CrossRefGoogle Scholar
Kendall, M. G. and Stuart, A. (1968), The Advanced Theory of Statistics, Vol. 3 (Griffin, London, 1968).CrossRefGoogle Scholar
Lewis, T. (1975), ‘Probability functions which are proportional to characteristic functions and the infinite divisibility of the von Mises distribution’, contribution to Perspectives in Probability and Statistics (Papers in Honour of M. S. Bartlett on the Occasion of his Sixty-Fifth Birthday) ed. Gani, J. (Academic Press, London), 19–28.Google Scholar
Mardia, K. V. (1972), Statistics of Directional Data (Academic Press, London and New York, 1972).Google Scholar
Wold, H. (1954), A Study in the Analysis of Stationary Time Series (Almqvist and Wiksell, Stockholm, 2nd edition, 1954).Google Scholar
You have
Access