On an interval-partitioning scheme
Marcel Neuts; Jian-Min Li; Charles Pearce
Applicationes Mathematicae (1999)
- Volume: 26, Issue: 3, page 347-355
- ISSN: 1233-7234
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top- [1] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, 1965. Zbl0171.38503
- [2] R. L. Adler and L. Flatto, Uniform distribution of Kakutani's interval splitting procedure, Z. Wahrsch. Verw. Gebiete 38 (1977), 253-259. Zbl0362.60014
- [3] D. A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statist. 24 (1953), 239-253. Zbl0053.09902
- [4] S. Gutmann, Interval-dividing processes, Z. Wahrsch. Verw. Gebiete 57 (1981), 339-347. Zbl0459.60032
- [5] S. Kakutani, A problem of equidistribution on the unit interval [0,1], in: Proc. Oberwolfach Conf. on Measure Theory (1975), Lecture Notes in Math. 541, Springer, Berlin, 1976, 369-376.
- [6] S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, Academic Press, New York, 1981.
- [7] R. G. Laha and V. K. Rohatgi, Probability Theory, John Wiley & Sons, New York, 1979.
- [8] J. C. Lootgieter, Sur la répartition des suites de Kakutani, C. R. Acad. Sci. Paris 285A (1977), 403-406. Zbl0367.60018
- [9] T. S. Mountford and S. C. Port, Random splittings of an interval, J. Appl. Probab. 30 (1993), 131-152. Zbl0770.60102
- [10] M. F. Neuts, D. E. Rauschenberg and J.-M. Li, How did the cookie crumble ? Identifying fragmentation procedures, Statist. Neerlandica 51 (1997), 238-251. Zbl0903.60094
- [11] R. Pyke, Spacings, J. Roy. Statist. Soc. Ser. B 27 (1965), 395-449.
- [12] E. Slud, Entropy and maximal spacings for random partitions, Z. Wahrsch. Verw. Gebiete 41 (1978), 341-352. Zbl0353.60019
- [13] W. R. van Zwet, A proof of Kakutani's conjecture on random subdivision of longest intervals, Ann. Probab. 6 (1978), 133-137. Zbl0374.60036