English

A Statistical Approach to Broken Stick Problems

Statistics Theory 2022-07-19 v1 Statistics Theory

Abstract

Let a stick be broken at random at n-1 points to form n pieces. We consider three problems on forming k-gons with k out of these n pieces, and show how a statistical approach, through a linear transformation of variables, yields simple solutions that also allow fast computation.

Keywords

Cite

@article{arxiv.2207.07879,
  title  = {A Statistical Approach to Broken Stick Problems},
  author = {Rahul Mukerjee},
  journal= {arXiv preprint arXiv:2207.07879},
  year   = {2022}
}
R2 v1 2026-06-25T00:58:09.839Z