On a. s. convergence of classes of multivalued asymptotic martingales

Sitadri Bagchi

Annales de l'I.H.P. Probabilités et statistiques (1985)

  • Volume: 21, Issue: 4, page 313-321
  • ISSN: 0246-0203

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Bagchi, Sitadri. "On a. s. convergence of classes of multivalued asymptotic martingales." Annales de l'I.H.P. Probabilités et statistiques 21.4 (1985): 313-321. <http://eudml.org/doc/77261>.

@article{Bagchi1985,
author = {Bagchi, Sitadri},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {weak* compact subsets; pramarts; strong convergence; sub-martingale lemma},
language = {eng},
number = {4},
pages = {313-321},
publisher = {Gauthier-Villars},
title = {On a. s. convergence of classes of multivalued asymptotic martingales},
url = {http://eudml.org/doc/77261},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Bagchi, Sitadri
TI - On a. s. convergence of classes of multivalued asymptotic martingales
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1985
PB - Gauthier-Villars
VL - 21
IS - 4
SP - 313
EP - 321
LA - eng
KW - weak* compact subsets; pramarts; strong convergence; sub-martingale lemma
UR - http://eudml.org/doc/77261
ER -

References

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  1. [1] A. Brunel, L. Sucheston, Sur les amarts à valeurs vectorielles, C. R. Acad. Sci. Paris, Série A, t. 283, 1976, p. 1037–1040. Zbl0373.60056MR438466
  2. [2] C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Math., t. 580, 1977. Zbl0346.46038MR467310
  3. [3] R.V. Chacon, L. Sucheston, On convergence of Vector-Valued Asymptotic Martingales, Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 33, 1975, p. 55-59. Zbl0297.60005MR394859
  4. [4] G. Edgar, L. Sucheston, Amart: A class of Asymptotic Martingales, A. Discrete Parameter, J. Multivariate Analysis, t. 6, 1976, p. 193-221. Zbl0336.60033MR413251
  5. [5] L. Egghe, Strong Convergence of Positive Subpramarts in Banach Lattices, Bull. Polish Ac. Sc., t. 31, 9-12, 1983, p. 415-426. Zbl0563.60008MR756924
  6. [6] N. Frangos, On Convergence of Vector-Valued Pramarts and Subpramarts. Zbl0571.60062
  7. [7] F. Hiai, H. Umegaki, Integrals, Conditional Expectations and Martingales of Multivalued Functions, J. Multivariate Analysis, t. 7, 1977, p. 149-182. Zbl0368.60006MR507504
  8. [8] A. Millet, L. Sucheston, Convergence of classes of Amarts Indexed by Directed Sets, Canadian J. of Math., t. 32, 1980, n° 1, p. 86-125. Zbl0448.60036MR559789
  9. [9] J. Neveu, Convergence presque sûre de martingales multivogues, Ann. Inst. Henri Poincaré, t. 8, n° 1, 1972, p. 1-7. Zbl0235.60010MR331504

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