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Weak runs in sequences of binary trials

Author

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  • Spiros D. Dafnis

    (Agricultural University of Athens)

  • Frosso S. Makri

    (University of Patras)

Abstract

In the present paper the metric of distance is adapted to a sequence of binary trials and the concept of r-weak runs is introduced and defined. The new structure gives rise to new families of binomial-type distributions, which are studied in the case of independent but not necessarily identically distributed binary trials. It is highlighted how the new theoretical results can be profitably applied to various fields, such as Agriculture, Finance and Reliability Engineering.

Suggested Citation

  • Spiros D. Dafnis & Frosso S. Makri, 2022. "Weak runs in sequences of binary trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(5), pages 573-603, July.
    • Handle: RePEc:spr:metrik:v:85:y:2022:i:5:d:10.1007_s00184-021-00842-1
    DOI: 10.1007/s00184-021-00842-1
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    References listed on IDEAS

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    6. Frosso Makri & Zaharias Psillakis, 2013. "Exact distributions of constrained (k, ℓ) strings of failures between subsequent successes," Statistical Papers, Springer, vol. 54(3), pages 783-806, August.
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    Cited by:

    1. Spiros D. Dafnis & Frosso S. Makri, 2023. "Distributions Related to Weak Runs With a Minimum and a Maximum Number of Successes: A Unified Approach," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-24, March.

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