The Game of Band or Bump
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_ | 1866912004333109248 |
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| author | Levin, Bruce |
| author_facet | Levin, Bruce |
| contents | In this report we generalize the game of Book or Band described in Levin (2024) to an arbitrary playing deck with $m$ ranks and $s$ cards in each rank, for a total of $t=ms$ cards. Two events (a band or a bump) are defined in terms of given non-negative integers $0\le l\le u \le s$, not necessarily with $l+u=s$. We derive expressions for the joint stopping time distribution and outcome band or bump in terms of rectangular event probabilities for central multiple hyper-geometric random variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Game of Band or Bump Levin, Bruce Probability Applications 62L05 (primary) 62H05 (secondary) In this report we generalize the game of Book or Band described in Levin (2024) to an arbitrary playing deck with $m$ ranks and $s$ cards in each rank, for a total of $t=ms$ cards. Two events (a band or a bump) are defined in terms of given non-negative integers $0\le l\le u \le s$, not necessarily with $l+u=s$. We derive expressions for the joint stopping time distribution and outcome band or bump in terms of rectangular event probabilities for central multiple hyper-geometric random variables. |
| title | The Game of Band or Bump |
| topic | Probability Applications 62L05 (primary) 62H05 (secondary) |
| url | https://arxiv.org/abs/2407.08062 |