Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929522505416704 |
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| author | Chaturvedi, Savita Kumar, Amit N. |
| author_facet | Chaturvedi, Savita Kumar, Amit N. |
| contents | We explore a unified $(k_1,k_2,\ldots,k_m)$-run in multi-state trials, examining its distributional properties and waiting time distribution. Our study reveals that this particular run serves as a generalization encompassing various patterns. Additionally, we discuss various results pertaining to existing patterns as special cases. To illustrate our findings, we provide an application related to DNA frequent patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run Chaturvedi, Savita Kumar, Amit N. Probability Statistics Theory We explore a unified $(k_1,k_2,\ldots,k_m)$-run in multi-state trials, examining its distributional properties and waiting time distribution. Our study reveals that this particular run serves as a generalization encompassing various patterns. Additionally, we discuss various results pertaining to existing patterns as special cases. To illustrate our findings, we provide an application related to DNA frequent patterns. |
| title | Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run |
| topic | Probability Statistics Theory |
| url | https://arxiv.org/abs/2410.00571 |