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On almost symmetric sequences inL p

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References

  1. D. J. Aldous, Limit theorems for subsequences of arbitrarily dependent sequences of random variables,Z. Wahrscheinlichkeitstheorie verw. Gebiete,40 (1977), 59–82.

    Article  Google Scholar 

  2. I. Berkes and H. P. Rosenthal, Almost exchangeable sequences of random variables,Z. Wahrscheinlichkeitstheorie verw. Gebiete,70 (1985), 473–507.

    Article  Google Scholar 

  3. P. Billingsley,Convergence of Probability Measures, Wiley (New York, 1968).

    Google Scholar 

  4. P. Billingsley and F. Topsøe, Uniformity in weak convergence,Z. Wahrscheinlichkeitstheorie verw. Gebiete,7 (1967), 1–16.

    Article  Google Scholar 

  5. W. Feller,An Introduction to Probability Theory and its Applications, Vol. II, 2nd Edition, Wiley (New York, 1970).

    Google Scholar 

  6. S. Guerre, Types and suites symétriques dansL p, 1≦p<+∞,Israel J. Math. (to appear).

  7. S. Guerre, Sur les suites presque échangeables dansL q, 1≦q<2,Israel J. Math. (to appear).

  8. S. Guerre and Y. Raynaud, On sequences with no almost symmetric subsequence.Longhorn Notes, University of Texas, 1985–86, pp. 83–93.

  9. W. B. Johnson, B. Maurey, G. Schechtman and L. Tzafriri,Symmetric structures in Banach spaces, Memoirs of the AMS, No. 217 (Providence, Rhode Island, 1979).

  10. P. Lévy, Propriétés asymptotiques des sommes aléatoires indépendantes ou enchaînées,Journ. de Math.,14 (1935), 347–402.

    Google Scholar 

  11. J. Marczinkiewicz and A. Zygmund, Quelques théorèmes sur les fonctions indépendantes,Studia Math.,7 (1938), 104–120.

    Google Scholar 

  12. B. Maurey,Sur un résultat de H. P. Rosenthal, unpublished manuscript.

  13. R. Ranga Rao, Relations between weak and uniform convergence of measures with applications,Ann. of Math. Statist.,33 (1962), 659–680.

    Google Scholar 

  14. H. P. Rosenthal, On subspaces ofL p,Ann. of Math.,97 (1973), 344–373.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda U. 13-15, H-1053, Budapest

    I. Berkes

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  1. I. Berkes
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Research supported by Hungarian National Foundation for Scientific Research, Grant No. 1808.

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Berkes, I. On almost symmetric sequences inL p . Acta Math Hung 54, 269–278 (1989). https://doi.org/10.1007/BF01952057

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  • DOI: https://doi.org/10.1007/BF01952057

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