Journal of Computational and Applied Mathematics2022,Vol.40310.DOI:10.1016/j.cam.2021.113846

Multiple consecutive runs of multi-state trials: Distributions of (k(1), k(2), ... , k(l)) patterns

Kong, Yong
Journal of Computational and Applied Mathematics2022,Vol.40310.DOI:10.1016/j.cam.2021.113846

Multiple consecutive runs of multi-state trials: Distributions of (k(1), k(2), ... , k(l)) patterns

Kong, Yong1
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作者信息

  • 1. Yale Univ
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Abstract

The pattern (k(1), k(2), ... , k(l)) is defined to have at least k(1) consecutive 1's followed by at least k(2) consecutive 2's, ... , followed by at least k(l) consecutive l's. By iteratively applying the method that was developed previously to decouple the combinatorial complexity involved in studying complicated patterns in random sequences, the distribution of pattern (k(1), k(2), ... , k(l)) is derived for arbitrary e. Numerical examples are provided to illustrate the results. (c) 2021 Elsevier B.V. All rights reserved.

Key words

Runs statistics/Generating function/(k1/k2/.../k(l)) pattern/Multi-state trials/Pattern in random sequences/RANDOM SEQUENCES/LONGEST RUNS/NUMBER/APPEARANCES/EVENTS

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量25
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