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The law of the iterated logarithm for random variables with heavy tails and empirical processes

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Literature Cited

  1. A. de Acosta, “Strong exponential integrability of sums of independent B-valued random vectors,” Probl. Math. Stat.,1, No. 2, 133–150 (1980).

    Google Scholar 

  2. K. S. Alexander, “Rates of growth and sample moduli for weighted empirical processes indexed by sets,” Prob. Theory Relat. Fields.,75, 379–423 (1987).

    Google Scholar 

  3. J. H. J. Einmahl, Multivariate empirical processes. CWI Tract 32, Math. Centrum, Amsterdam (1987).

    Google Scholar 

  4. R. J. Elliot, “Stochastic calculus and applications,” in: Applications of Mathematics, 18, Springer-Verlag, New York (1983).

    Google Scholar 

  5. R. Gill, “Large sample behavior of the product-limit estimator on the whole line,” Ann. Stat.,11, No. 1, 49–58 (1983).

    Google Scholar 

  6. P. S. Griffin, “Laws of the iterated logarithm for symmetric stable processes,” Z. Wahr. Verb. Gebiete,68, 271–285 (1985).

    Google Scholar 

  7. J. Hoffmann-Jørgensen, “Sums of independent Banach space-valued random variables,” Stud. Math.,52, 169–186 (1974).

    Google Scholar 

  8. J. Kuelbs and J. Zinn, “Some stability results for vector-valued random variables,” Ann. Probab.,7, 75–84 (1979).

    Google Scholar 

  9. E. Seneta, “Regularly varying functions,” Lect. Notes Math.,508, Springer-Verlag, Berlin-Heidelberg-New York (1976).

    Google Scholar 

  10. E. V. Slud, “Generalization of an inequality of Birnbaum and Marshall, with applications to grows rates for submartingales,” Stoch. Proc. Appl.,24, 51–60 (1987).

    Google Scholar 

  11. J. A. Wellner, “A martingale inequality for the empirical process,” Ann. Probab.,5, 303–308 (1977).

    Google Scholar 

  12. R. Norvaiša, “Remarks on some stability results for empirical processes,” in press.

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Authors
  1. R. Norvaiša
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Additional information

Department of Mathematics, Vilnius University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 30, No. 2, pp. 337–344, April–June, 1990.

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Norvaiša, R. The law of the iterated logarithm for random variables with heavy tails and empirical processes. Lith Math J 30, 154–159 (1990). https://doi.org/10.1007/BF00970843

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  • DOI: https://doi.org/10.1007/BF00970843

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