Convergence of Submartingales to an Increasing Process under Discretization of Filtrations

François Coquet; Jean Mémin

Publications mathématiques et informatique de Rennes (1998)

  • Issue: 2, page 1-5

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Coquet, François, and Mémin, Jean. "Convergence of Submartingales to an Increasing Process under Discretization of Filtrations." Publications mathématiques et informatique de Rennes (1998): 1-5. <http://eudml.org/doc/274426>.

@article{Coquet1998,
author = {Coquet, François, Mémin, Jean},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {convergence of processes in probability; discretization of filtration; submartingale; increasing process},
language = {eng},
number = {2},
pages = {1-5},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Convergence of Submartingales to an Increasing Process under Discretization of Filtrations},
url = {http://eudml.org/doc/274426},
year = {1998},
}

TY - JOUR
AU - Coquet, François
AU - Mémin, Jean
TI - Convergence of Submartingales to an Increasing Process under Discretization of Filtrations
JO - Publications mathématiques et informatique de Rennes
PY - 1998
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 5
LA - eng
KW - convergence of processes in probability; discretization of filtration; submartingale; increasing process
UR - http://eudml.org/doc/274426
ER -

References

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  1. 1. D. Aldous, Stopping times and Tightness. II Ann. Proba., 17, No. 2, p. 586-595, 1989. Zbl0686.60036MR985380
  2. 2. F. Coquet, V. Mackevicius and J. Mémin, Stability in D of Martingales and backward equations under discretization of filtration, Stoch. Proc. Appl., 75, p 235-248, 1998. Zbl0932.60047MR1632205
  3. 3. F. Coquet, J. Mémin and L. Slominski, On weak convergence of filtrations, Preprint 1999. Zbl0987.60009
  4. 4. C. Dellacherie and P. A. Meyer, Probabilités et Potentiels, Vol. 2, Hermann, Paris, 1980. Zbl0138.10402MR566768
  5. 5. J. Jacod and A. N. Shiryaev, Limit Theorems for Stochastic Processes, Springer-Verlag, BerlinHeidelbergNew York, 1987. Zbl1018.60002MR959133

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