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A Kolmogorov inequality for the sum of independent Bernoulli random variables with unequal means

Author

Listed:
  • Turner, Danny W.
  • Young, Dean M.
  • Seaman, John W.

Abstract

This note presents a Kolmogorov inequality for the partial sums of a sequence of independent Bernoulli random variables with unequal means.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:23:y:1995:i:3:p:243-245
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    References listed on IDEAS

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    1. 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.
    2. 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. 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.
    2. Rodokanakis, Stavros, 2010. "Comparing the Probability of Unemployment in Northern Greece vis-à-vis the Entire Country," The Journal of Economic Asymmetries, Elsevier, vol. 7(1), pages 137-174.
    3. 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.
    4. 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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    5. 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.

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