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Useful inequalities for the longest run distribution

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  • Muselli, Marco

Abstract

General inequalities for the distribution of the longest success run in Bernoulli trials are found through a direct combinatorial analysis. Their employment allows the derivation of a new lower bound which can be used in the achievement of theoretical results.

Suggested Citation

  • Muselli, Marco, 2000. "Useful inequalities for the longest run distribution," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 239-249, February.
    • Handle: RePEc:eee:stapro:v:46:y:2000:i:3:p:239-249
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    Cited by:

    1. Frosso Makri & Zaharias Psillakis, 2011. "On runs of length exceeding a threshold: normal approximation," Statistical Papers, Springer, vol. 52(3), pages 531-551, August.

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