Grandes déviations, dynamique de populations et phénomènes malthusiens

Catherine Laredo; Alain Rouault

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 4, page 323-350
  • ISSN: 0246-0203

How to cite

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Laredo, Catherine, and Rouault, Alain. "Grandes déviations, dynamique de populations et phénomènes malthusiens." Annales de l'I.H.P. Probabilités et statistiques 19.4 (1983): 323-350. <http://eudml.org/doc/77217>.

@article{Laredo1983,
author = {Laredo, Catherine, Rouault, Alain},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Malthusian parameter; Chernoff's theorem; supercritical Crump-Mode-Jagers process},
language = {fre},
number = {4},
pages = {323-350},
publisher = {Gauthier-Villars},
title = {Grandes déviations, dynamique de populations et phénomènes malthusiens},
url = {http://eudml.org/doc/77217},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Laredo, Catherine
AU - Rouault, Alain
TI - Grandes déviations, dynamique de populations et phénomènes malthusiens
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 4
SP - 323
EP - 350
LA - fre
KW - Malthusian parameter; Chernoff's theorem; supercritical Crump-Mode-Jagers process
UR - http://eudml.org/doc/77217
ER -

References

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  2. [2] R. Azencott, Cours de l'École d'Été de Saint-Flour. Lecture Notes in Math., n° 774, Springer, 1978. Zbl0435.60028
  3. [3] R. Azencott, G. Ruget, Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Zeits. für Wahr. t. 38, 1977, p. 1-54. Zbl0372.60082MR443097
  4. [4] J.D. Biggins, Chernoff's theorem in the branching random walk. Journ. of Appl. Prob., t. 14, 1977, p. 630-636. Zbl0373.60090MR464415
  5. [5] J.D. Biggins, The asymptotic shape of the branching random walk. Adv. in Appl. Prob., t. 10, 1978, p. 62-84. Zbl0383.60078MR518327
  6. [6] J.D. Biggins, Growth rates in the branching random walk. Zeits. für Wahr. t. 48, 1979, p. 17-34. Zbl0387.60092MR533003
  7. [7] J.D. Biggins, Spatial spread in branching processes, in « Biological growth and spread ». Lecture Notes in Biomath., n° 38, Springer, 1979. Zbl0443.60082MR609346
  8. [8] J.D. Biggins, Private communication, 1980. 
  9. [9] D.L. Burkholder, B.J. Davis, R.F. Gundy, Integral inequalities for convex functions of operators on martingales, 6th Berkeley symposium, t. II, 1970. Zbl0253.60056
  10. [10] P. Jagers, Branching processes with biological applications. Wiley, London, 1979. Zbl0356.60039MR488341
  11. [11] N. Kaplan, S. Asmussen, Branching random walks II. Stochastic Proc. and their Appl., t. 4, 1976, p. 15-31. Zbl0322.60065MR400430
  12. [12] K. Matthes, J. Kerstan, J. Mecke, Infinitely divisible point processes. Wiley Chichester, 1978. Zbl0383.60001MR517931
  13. [13] A. Rouault, Lois empiriques pour les processus de branchement spatiaux homogènes supercritiques. Note aux C. R. A. S., t. 292, 1981, p. 933. Zbl0469.60086MR625371
  14. [14] A. Rouault, Les processus de branchement multitypes spatiaux dans l'asymptotique des grandes déviations, 1981, (à paraître). 
  15. [15] A.D. Ventsel, Rough limit theorems on large deviations for Markov stochastic processes. Theory of Prob. and its Appl., t. 21, n° 2, 1976, p. 227-242 et t. 21, n° 3, 1976, p. 499-512. Zbl0361.60006MR433566

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