Telescoping Sums, Permutations, and First Occurrence Distributions

Document Type

Article

Publication Date

12-1-2016

Description

Telescoping sums very naturally lead to probability distributions on ℤ+. But are these distributions typically cosmetic and devoid of motivation? In this paper we give three examples of 'first occurrence' distributions, each defined by telescoping sums, and each arising from concrete questions about the structure of permutations.

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