Quelques résultats de convergence en loi vers des processus de Lévy α -stables

Michel Guillemeau

Publications mathématiques et informatique de Rennes (1996-1997)

  • Issue: 2, page 1-19

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Guillemeau, Michel. "Quelques résultats de convergence en loi vers des processus de Lévy $\alpha $-stables." Publications mathématiques et informatique de Rennes (1996-1997): 1-19. <http://eudml.org/doc/274472>.

@article{Guillemeau1996-1997,
author = {Guillemeau, Michel},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {2},
pages = {1-19},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Quelques résultats de convergence en loi vers des processus de Lévy $\alpha $-stables},
url = {http://eudml.org/doc/274472},
year = {1996-1997},
}

TY - JOUR
AU - Guillemeau, Michel
TI - Quelques résultats de convergence en loi vers des processus de Lévy $\alpha $-stables
JO - Publications mathématiques et informatique de Rennes
PY - 1996-1997
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 19
LA - fre
UR - http://eudml.org/doc/274472
ER -

References

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  1. [F] W. Feller : "An introduction to probability theory and its applications", tome 2, Wiley Publications in statistics, 2nd edition, 1957. Zbl0077.12201MR88081
  2. [GI] I.I. Gikhman- A.V. Skorokhod : "Introduction to the theory of random processes", Philadelphia, W.B. Saunders co, 1969. Zbl0132.37902MR247660
  3. [GK] B.V. Gnedenko- A.N. Kolmogorov : "Limit distributions for sums of independant random variables", Addison-Wesley mathematic series, 1954. Zbl0056.36001MR62975
  4. [JMP] A. Jakubowski- J. Mémin- G. Pagès : "Convergence en loi des suites d'intégrales stochastiques sur l'espace D1 de Skorokhod", Probability Theory and related fields81, 111-137, 1989. Zbl0638.60049MR981569
  5. [JS] J. Jacod- A.N. Shiryaev (JS) : "Limit theorems for stochastic processes", Springer-Verlag, 1980. Zbl0635.60021MR959133
  6. [L] P. Lévy : "Fractions continues aléatoires", F.C.A. : Rend. d. circ. math dit Palermo s, 2, 1, 1952, p.170-208 Zbl0048.36101MR66583
  7. [ST] Samorodnitsky- M.S. Taqqu : "Stable non-gaussian random processes", Chapman & Hall, 1994. Zbl0925.60027MR1280932
  8. [SK] A.V. Skorokhod : "Limit theorems for stochastic processes with independent increments", Theory of probability and its applications, 1957. Zbl0969.60007MR94842

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