Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run

Savita Chaturvedi; Amit N. Kumar

Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run

Probability 2024-10-02 v1 Statistics Theory Statistics Theory

Authors: Savita Chaturvedi , Amit N. Kumar

Abstract

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.

Keywords

run distribution multi-state trials waiting time pattern generalization DNA frequent patterns

Cite

@article{arxiv.2410.00571,
  title  = {Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run},
  author = {Savita Chaturvedi and Amit N. Kumar},
  journal= {arXiv preprint arXiv:2410.00571},
  year   = {2024}
}

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17 pages

Distribution of a Unified $(k_1,k_2,\ldots,k_m)$-run

Abstract

Keywords

Cite

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