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Sharpened versions of a Kolmogorov's inequality

Author

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  • Antonov, Sergei N.
  • Kruglov, Victor M.

Abstract

Sharpened versions of a Kolmogorov's inequality for sums of independent Bernoulli random variables are proved.

Suggested Citation

  • Antonov, Sergei N. & Kruglov, Victor M., 2010. "Sharpened versions of a Kolmogorov's inequality," Statistics & Probability Letters, Elsevier, vol. 80(3-4), pages 155-160, February.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:3-4:p:155-160
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    References listed on IDEAS

    as
    1. León, Carlos A. & Perron, François, 2003. "Extremal properties of sums of Bernoulli random variables," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 345-354, May.
    2. Mavrikiou, Petroula M., 2007. "Kolmogorov inequalities for the partial sum of independent Bernoulli random variables," Statistics & Probability Letters, Elsevier, vol. 77(11), pages 1117-1122, June.
    3. Olaf Krafft, 1969. "A note on exponential bounds for binomial probabilities," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 21(1), pages 219-220, December.
    4. Turner, Danny W. & Young, Dean M. & Seaman, John W., 1992. "Improved Kolmogorov inequalities for the binomial distribution," Statistics & Probability Letters, Elsevier, vol. 13(3), pages 223-227, February.
    5. Young, Dean M. & Seaman, John W. & Marco, Virgil R., 1987. "A note on a Kolmogorov inequality," Statistics & Probability Letters, Elsevier, vol. 5(3), pages 217-218, April.
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