Demiconvergence of processes indexed by two indices

Annie Millet; Louis Sucheston

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

  • Volume: 19, Issue: 2, page 175-187
  • ISSN: 0246-0203

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Millet, Annie, and Sucheston, Louis. "Demiconvergence of processes indexed by two indices." Annales de l'I.H.P. Probabilités et statistiques 19.2 (1983): 175-187. <http://eudml.org/doc/77207>.

@article{Millet1983,
author = {Millet, Annie, Sucheston, Louis},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {processes indexed by two indices; demiconvergence; amart},
language = {eng},
number = {2},
pages = {175-187},
publisher = {Gauthier-Villars},
title = {Demiconvergence of processes indexed by two indices},
url = {http://eudml.org/doc/77207},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Millet, Annie
AU - Sucheston, Louis
TI - Demiconvergence of processes indexed by two indices
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 2
SP - 175
EP - 187
LA - eng
KW - processes indexed by two indices; demiconvergence; amart
UR - http://eudml.org/doc/77207
ER -

References

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  1. [1] K. Astbury, Amarts indexed by directed sets. Ann. Prob., t. 6, 1978, p. 267-278. Zbl0378.60017MR464394
  2. [2] D. Bakry, Sur la régularité des trajectoires des martingales à deux indices.Z. Wahrscheinlichkeitstheorie verw. Geb., t. 50, 1979, p. 149-157. Zbl0419.60051MR551608
  3. [3] R. Cairoli, Une inégalité pour martingales à indices multiples. Séminaire de Probabilité IV. Université de Strasbourg. Lecture Notes in Math., t. 124, p. 1-27. Berlin, Heidelberg, New York. Springer, 1970. Zbl0218.60045MR270424
  4. [4] R. Cairoli and J.B. Walsh, Stochastic integrals in the plane, Acta Math., t. 134, 1975, p. 111-183. Zbl0334.60026MR420845
  5. [5] G.A. Edgar and L. Sucheston, Démonstrations de lois des grands nombres par les sous-martingales descendantes. C. R. Acad. Sci. Paris, t. 292, Série I, 1981, p. 967-969. Zbl0471.60035MR631108
  6. [6] H. Heinich, Convergence de sous-martingales positives dans un Banach réticulé, C. R. Acad. Sci. Paris, t. 286, 1978, p. 279-280. Zbl0383.60046MR486301
  7. [7] A. Millet and L. Sucheston, Convergence of classes of amarts indexed by directed sets, Canadian J. Math., t. 32, 1980, p. 86-125. Zbl0448.60036MR559789
  8. [8] A. Millet and L. Sucheston, A characterization of Vitali Conditions in terms of maximal inequalities, Ann. Prob., t. 8, 1980, p. 339-349. Zbl0428.60053MR566598
  9. [9] A. Millet and L. Sucheston, On regularity of multiparameter amarts and martingales, Z. Wahrscheinlichkeitstheorie verw. Geb., t. 56, 1981, p. 21-45. Zbl0438.60042MR612158
  10. [10] P.A. Meyer, Théorie élémentaire des processus à deux indices. Lecture Notes Math., t. 863, 1981, p. 1-39. Springer-Verlag. Zbl0461.60072MR630303
  11. [11] J. Neveu, Discrete parameter martingales. Amsterdam, North Holland, 1975. Zbl0345.60026MR402915
  12. [12] H.H. Schaefer, Banach lattices and positive operators, Springer-Verlag, Berlin, 1975. Zbl0296.47023MR423039
  13. [13] R.T. Smythe, Strong laws of large numbers for r-dimensional arrays of random variables, Ann. Prob., t. 1, 1973, p. 164-170. Zbl0258.60026MR346881

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