Sur une conjecture de L. E. Dubins

J. C. Lootgieter

Annales de l'I.H.P. Probabilités et statistiques (1981)

  • Volume: 17, Issue: 1, page 97-122
  • ISSN: 0246-0203

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Lootgieter, J. C.. "Sur une conjecture de L. E. Dubins." Annales de l'I.H.P. Probabilités et statistiques 17.1 (1981): 97-122. <http://eudml.org/doc/77159>.

@article{Lootgieter1981,
author = {Lootgieter, J. C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random sequence of subdivisions of the unit interval; conjecture of L. E. Dubins},
language = {fre},
number = {1},
pages = {97-122},
publisher = {Gauthier-Villars},
title = {Sur une conjecture de L. E. Dubins},
url = {http://eudml.org/doc/77159},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Lootgieter, J. C.
TI - Sur une conjecture de L. E. Dubins
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1981
PB - Gauthier-Villars
VL - 17
IS - 1
SP - 97
EP - 122
LA - fre
KW - random sequence of subdivisions of the unit interval; conjecture of L. E. Dubins
UR - http://eudml.org/doc/77159
ER -

References

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  1. [1] R.L. Adler et L. Flatto, Uniform distribution of Kabutani's interval splitting procedure. Z. Wahrschein. verw. Gebiete, t. 38, 1977, p. 253-259. Zbl0362.60014MR447521
  2. [2] K.B. Athreya et N. Kaplan, Convergence of the age-distribution in the one-dimensional supercritical age-dependent branching processes. Ann. Proba., t. 4, n° 1, 1976, p. 38-50. Zbl0356.60048MR400431
  3. [3] K.B. Athreya et K. Rama Murthy, Convergence of state distribution in supercritical multitype Crump-Mode-Jagers branching processes. J. Indian Math. Soc., t. 41, 1977, p. 27-57. Zbl0437.60061MR510110
  4. [4] W. Feller, Introduction to Probability Theory and its Applications. Vol. II, 3e édition, Wiley and Sons. Zbl0138.10207
  5. [5] T.E. Harris, The theory of braching processes. Springer-Verlag. Zbl0117.13002MR163361
  6. [6] P. Jagers, Renewal theory and the almost sure convergence of branching processes. Ark. Math., t. 7, 1968, p. 495-504. Zbl0169.49002MR247675
  7. [7] P. Jagers, Convergence of general branching processes and functionnals thereof.J. Appl. Proba., t. 11, 1974, p. 471-478. Zbl0296.60054MR359042
  8. [8] S. Kakutani, Measure theory. Lectures Notes, Oberwolfach, Proceedings, 1975, 541. 
  9. [9] J.C. Lootgieter, Sur la répartition des suites de Kakutani (I). Ann. Inst. Henri Poincaré, t. XIII, 4, 1977, p. 385-410. Zbl0395.60015MR488241
  10. [10] J.C. Lootgieter, Sur la répartition des suites de Kakutani (II). Ann. Inst. Henri Poincaré, t. XIV, 3, 1978, p. 279-302. Zbl0395.60015MR508930
  11. [11] J.C. Lootgieter, Processus généraux de branchements et procédure de Kakutani généralisée. C. R. Acad. Sci. (Paris), t. 288, Série A, 1979, p. 427-430. Zbl0397.60007MR552069
  12. [12] J. Peyrière, A singular random measure generated by splitting [0, 1]. Z. Wahrschein. Verw. Gebiete, t. 47, 1979, p. 289-297. Zbl0381.60048MR525310
  13. [13] K. Rama-Murthy, Convergence of state distribution in multitype Bellman-Harris and Crump-Mode-Jagers branching processes. Ph. D. Thesis, 1978, Indian Institute of Science. 
  14. [14] R.W. Van Zwet, A proof of a conjecture of Kalutani. Ann. Proba., t. 1, 1978, p. 133-137. Zbl0374.60036MR478307

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