A survey on the general central limit problem in Banach spaces

E. Giné

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978)

  • page 1-17

How to cite

top

Giné, E.. "A survey on the general central limit problem in Banach spaces." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1977-1978): 1-17. <http://eudml.org/doc/109179>.

@article{Giné1977-1978,
author = {Giné, E.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {Central Limit Theorem; Shift-Compactness Prohorov Metric; Poisson Measures; Separable Banach Space},
language = {eng},
pages = {1-17},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {A survey on the general central limit problem in Banach spaces},
url = {http://eudml.org/doc/109179},
year = {1977-1978},
}

TY - JOUR
AU - Giné, E.
TI - A survey on the general central limit problem in Banach spaces
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 17
LA - eng
KW - Central Limit Theorem; Shift-Compactness Prohorov Metric; Poisson Measures; Separable Banach Space
UR - http://eudml.org/doc/109179
ER -

References

top
  1. 1 de Acosta, A. (1970). Existence and convergence of probability measures in Banach spaces. Trans. Amer. Math. Soc.152273-298. Zbl0226.60007MR267614
  2. 2 de Acosta, A. and Samur, J. (1977). Infinitely divisible probability measures and the converse Kolmogorov inequality in Banach spaces. Studia Math. (To appear). Zbl0426.60003MR565155
  3. 3 de Acosta, A., Araujo, A. and Giné, E. (1977). On Poisson measures, Gaussian measures and the central limit theorem in Banach spaces. Advances in Probability, Vol. IV. M. Dekker, New York. (To appear). MR515429
  4. 4 Araujo, A. (1975). On the central limit theorem in Panach spaces. J. Multivariate Analysis. (To appear). Zbl0404.60017MR520969
  5. 5 Araujo, A. and Giné, E. (1976). Type, cotype and Levy measures on Banach spaces. Ann. Probability. (To appear). Zbl0384.60003
  6. 6 Araujo, A. and Giné, E. (1977). On tails and domains of attraction of stable measures in Banach spaces. Trans. Amer. Math. Soc. (To appear). Zbl0408.60007MR521695
  7. 7 Araujo, A. and Gine, E. (1978). On row sums of triangular arrays and their accompanying Poisson measures in Panach spaces. Preprint. (To appear). 
  8. 8 Dettweiler, E. (1976). Grezwetsätze für Wahrscheinlichkeitsmasse auf Badrikianschen Räumen. Z. Wahrscheinlichkeitstheorie verw. Geb.34285-311. Zbl0309.60010MR402849
  9. 9 Giné, E. (1978). The general central limit theorem in lp, 2≤p&lt;∞. Preprint. (To appear). 
  10. 10 Giné, E. and León, J. (1977). On the central limit theorem in Hilbert space. IVIC preprint series in Math. #5. To appear in Proc. 1st Conference of Math. at the service of man. Barcelona. Zbl0432.60011
  11. 11 Gnedenko, B. and Kolmogorov, A. (1954). Limit distributions for sums of independent random variables. Addison-Wesley, Cam-bridge, Mass. Zbl0056.36001MR62975
  12. 12 Hoffmann-Jorgensen, J. and Pisier, G. (1976). The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability4587-599. Zbl0368.60022MR423451
  13. 13 Le Cam, L. (1965). On the distribution of sums of independent random variables. Pernoulli, Bayes, Laplace (Proceedings of a a Seminar), 179-202. Springer-Verlag, Perlin and New York. Zbl0139.35203MR199871
  14. 14 Le Cam, L. (1970). Remarques sur le théorème limite centrale dans les spaces localement convexes. Les probabilités sur les structures algébriques, 233, 249. CNRS, Paris. Zbl0231.60005MR410832
  15. 15 Maurey, B. et Pisier, G. (1976). Séries de variables aleatoires vectorielles independentes et proprietés géometriques des spaces de Banach. Studia Math.5845-90. Zbl0344.47014MR443015
  16. 16 Parthasarathy, K.R. (1967). Probability measures on metric spaces. Academic Press, New York. Zbl0153.19101MR226684
  17. 17 Varadhan, S.R.S. (1962). Limit theorems for sums of independent random variables with values in a Hilbert space. Sankhya24213-238. Zbl0113.34101MR171305
  18. 18 Woyczinski, W. (1977). Geometry and martingales in Banach spaces, Part II: independent increments. Advances in Probability, Vol. IV. (To appear). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.