English

Distributions of successions of arbitrary multisets

Combinatorics 2024-05-06 v1

Abstract

By using the matrix formulation of the two-step approach to distributions of patterns in random sequences, recurrence and explicit formulas for the generating functions of successions in random permutations of arbitrary multisets are derived. Explicit formulas for the mean and variance are also obtained.

Keywords

Cite

@article{arxiv.2405.01749,
  title  = {Distributions of successions of arbitrary multisets},
  author = {Yong Kong},
  journal= {arXiv preprint arXiv:2405.01749},
  year   = {2024}
}