English

Stirling numbers with higher level and records

Probability 2023-05-05 v1 Combinatorics

Abstract

In this present paper, we show that the Stirling numbers of the first kind with higher level connected with the probability distribution of the number of records and record times in the so-called F^{\alpha}-scheme. In addition, we determine the location of the maximum of the Stirling numbers of the first kind with higher level.

Keywords

Cite

@article{arxiv.2305.02684,
  title  = {Stirling numbers with higher level and records},
  author = {F. A. Shiha},
  journal= {arXiv preprint arXiv:2305.02684},
  year   = {2023}
}

Comments

13 pages

R2 v1 2026-06-28T10:25:27.861Z