Convergence of a branching type recursion

M. Cramer; L. Rüschendorf

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 6, page 725-741
  • ISSN: 0246-0203

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Cramer, M., and Rüschendorf, L.. "Convergence of a branching type recursion." Annales de l'I.H.P. Probabilités et statistiques 32.6 (1996): 725-741. <http://eudml.org/doc/77554>.

@article{Cramer1996,
author = {Cramer, M., Rüschendorf, L.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {branching type recursion; contraction method},
language = {eng},
number = {6},
pages = {725-741},
publisher = {Gauthier-Villars},
title = {Convergence of a branching type recursion},
url = {http://eudml.org/doc/77554},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Cramer, M.
AU - Rüschendorf, L.
TI - Convergence of a branching type recursion
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 6
SP - 725
EP - 741
LA - eng
KW - branching type recursion; contraction method
UR - http://eudml.org/doc/77554
ER -

References

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  1. [1] M.A. Arbeiter, Random recursive constructions of self-similar fractal measures. The non-compact case. Prob. Th. Rel. Fields, Vol. 88, 1991, pp. 497-520. Zbl0723.60040MR1105715
  2. [2] R. Durrett and M. Liggett, Fixed points of the smoothing transformation. Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 64, 1983, pp. 275-301. Zbl0506.60097MR716487
  3. [3] Y. Guivarch, Sur une extension de la notion de loi semi-stable. Ann. Inst. H. Poincaré, Vol. 26, 1990, pp. 261-286. Zbl0703.60012MR1063751
  4. [4] R. Holley and T.M. Liggett, Generalized potlach and smoothing processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete, Vol. 55, 1981, pp. 165-195. Zbl0441.60096MR608015
  5. [5] J.P. Kahane and J. Peyrière, Sur certaines martingales de Benoit Mandelbrot. Adv. Math., Vol. 22, 1976, pp. 131-145. Zbl0349.60051MR431355
  6. [6] H.M. Mahmoud, Evolution of Random Search Trees. Wiley, New York, 1992. Zbl0762.68033MR1140708
  7. [7] B. Mandelbrot, Multiplications aléatoires itérées et distributions invariantes par moyenne pondérée aléatoire. C. R. Acad. Sci. Paris, Vol. 278, 1974, pp. 289-292. Zbl0276.60096MR431351
  8. [8] S.T. Rachev, Probability Metrics and the Stability of Stochastic Models. Wiley, New York, 1991. Zbl0744.60004MR1105086
  9. [9] S.T. Rachev and L. Rüschendorf, Probability metrics and recursive algorithms. 1991, To appear in Advances Appl. Prob., 1995. Zbl0829.60094MR1341885

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