A Statistical Approach to Broken Stick Problems

Rahul Mukerjee

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 15, 5629-5637

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, 3≤ k ≤ n, and show how a statistical approach, through a linear transformation of variables, yields simple solutions that also allow fast computation.

Date: 2024
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DOI: 10.1080/03610926.2023.2224909

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