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On expected waiting time until given words appear in random sequence

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  • Maeda, Takashi
  • Unten, Yuya

Abstract

We provide a formula for the expected waiting time until more than one words appear among given words in a random sequence, and show that distributions of random variables of waiting times of words and their reversals are the same.

Suggested Citation

  • Maeda, Takashi & Unten, Yuya, 2023. "On expected waiting time until given words appear in random sequence," Statistics & Probability Letters, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:stapro:v:197:y:2023:i:c:s0167715223000329
    DOI: 10.1016/j.spl.2023.109808
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    References listed on IDEAS

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    1. Sigeo Aki & Katuomi Hirano, 2002. "On Waiting Time for Reversed Patterns in Random Sequences," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(4), pages 713-718, December.
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    1. Sigeo Aki, 2019. "Waiting time for consecutive repetitions of a pattern and related distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(2), pages 307-325, April.

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