Skip to main content
Log in

On the rate of convergence to normality for sums of dependent random variables

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J. Chover, On Strassen's version of the log log law,Z. Wahrscheinlichkeitstheorie Verw. Geb.,8 (1967), 83–90.

    Google Scholar 

  2. A. Dvoretzky, Asymptotic normality for sums of dependent random variables,Sixth Berkeley Symposium on Mathematical Statistics and Probability. University of California Press. Vol.2 (1971), 513–535.

    Google Scholar 

  3. Ebragimov,Theory of Probability and its Applications (1963).

  4. W. Feller,An introduction to probability and its applications. Vol. II. John Wiley and Sons Co. (1966).

  5. W. F. Grams,Rates of convergence in the central limit theorem for dependent random variables. Ph. D. Thesis. The Florida State University (1972).

  6. M. Iosifescu, On Strassen's version of the log log law for some classes of dependent random variables,Z. Wahrscheinlichkeitstheorie Verw. Geb.,24 (1972), 155–158.

    Google Scholar 

  7. M. Loeve,Probability Theory. 3rd Edition. D. Van Nostrand Co. (1963).

  8. M. Pinsky, An elementary derivation of Khintchine's estimate for large deviations,Proc. Amer. Math. Soc.,22 (1969), 288–290.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was partly done when the author was at 1973 Carleton Summer Research Institute of Canadian Mathematical Congress. Appreciation is extended to N. R. C. of Canada and the Canadian Mathematical Congress for financial support of this work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Basu, A.K. On the rate of convergence to normality for sums of dependent random variables. Acta Mathematica Academiae Scientiarum Hungaricae 28, 261–265 (1976). https://doi.org/10.1007/BF01896787

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01896787

Keywords

Navigation