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arXiv · 2410.13426

A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time

Yuuya Yoshida
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Abstract

Solov'ev (1966), Nielsen (1973), and Blom (1982) independently showed a formula for the expected waiting time until a given finite pattern first occurs in random data. In this paper, we give a simple and combinatorial proof of the formula.

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Yuuya Yoshida. 2024-10-17. A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time. https://doi.org/10.1090/tpms%2F1233

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