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Applied probability—past, present and future

Published online by Cambridge University Press:  14 July 2016

David G. Kendall
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Abstract

After some reminiscences about the founding of the Applied Probability journals the author discusses three open problems concerned respectively with:

(i) the prehistory of applied probability

(ii) Poisson–Delauney Simplexes

(iii) voids and pancakes in the universe.

Keywords

CENTRAL PLACE THEORYEDGE EFFECTSPANCAKESPOISSON–DELAUNEY SIMPLEXESPREHISTORY OF APPLIED PROBABILITYSPLINTERSVOIDS
Type
Part 1 - Some Thoughts on Applied Probability
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 25 - 30
Copyright
Copyright © Applied Probability Trust 1988 

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References

[1] Heyde, C. C. and Seneta, E. (1977) I. J. Bienaymé: Statistical Theory Anticipated. Springer-Verlag, Berlin.Google Scholar
[2] Icke, V. and Van De Weygaert, R. (1987) Fragmenting the universe, I. Statistics of two-dimensional Voronoi foams. Astron. Astrophys. 184, 16–32.Google Scholar
[3] Kendall, D. G. (1983) The shape of Poisson-Delaunay triangles. In Studies in Probability and Related Topics in Honour of Octav Onicescu, ed. Demetrescu, M. C. and Iosifescu, M., Nagard, Montreal.Google Scholar
[4] Kendall, D. G. (1987) Random Delaunay simplexes in Rm. Proc. Blacksburg Conf. to Honour I. J. Good, to appear in J. Statist. Planning and Inference.Google Scholar
[5] Mardia, K. V., Edwards, R. and Puri, M. L. (1977) Analysis of central place theory. Bull. Internat. Statist. Inst. 47(2), 93–110.Google Scholar
[6] Quine, M. P. and Watson, D. F. (1984) Radial generation of n -dimensional Poisson processes. J. Appl. Prob. 21, 548–557.CrossRefGoogle Scholar
[7] Stoyan, D., Kendall, W. S. and Mecke, J. (1987) Stochastic Geometry and its Applications. Wiley, Chicheser.Google Scholar
[8] Tully, R. B. and Fisher, J. R. (1987) Atlas of Nearby Galaxies. Cambridge University Press, Cambridge.Google Scholar