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Kolmogorov inequalities for the partial sum of independent Bernoulli random variables

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  • Mavrikiou, Petroula M.

Abstract

In this paper two Kolmogorov inequalities are presented for the sample average of independent (but not necessarily identically distributed) Bernoulli random variables.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:11:p:1117-1122
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    References listed on IDEAS

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    1. Christofides, Tasos C., 1991. "Probability inequalities with exponential bounds for U-statistics," Statistics & Probability Letters, Elsevier, vol. 12(3), pages 257-261, September.
    2. Christofides, Tasos C., 1994. "A Kolmogorov inequality for U-statistics based on Bernoulli kernels," Statistics & Probability Letters, Elsevier, vol. 21(5), pages 357-362, December.
    3. Turner, Danny W. & Young, Dean M. & Seaman, John W., 1995. "A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 243-245, May.
    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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    Cited by:

    1. 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.
    2. Eghbal, N. & Amini, M. & Bozorgnia, A., 2011. "On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1112-1120, August.
    3. Mavrikiou, Petroula M., 2008. "A Kolmogorov inequality for weighted U-statistics," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3294-3297, December.

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