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A Statistical Approach to Broken Stick Problems

Published 16 Jul 2022 in math.ST and stat.TH | (2207.07879v1)

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.

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