A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913840153755648 |
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| author | Yoshida, Yuuya |
| author_facet | Yoshida, Yuuya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13426 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time Yoshida, Yuuya Probability Combinatorics 60E05 68R15 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. |
| title | A simple proof of the formula of Solov'ev--Nielsen--Blom for the expected waiting time |
| topic | Probability Combinatorics 60E05 68R15 |
| url | https://arxiv.org/abs/2410.13426 |