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Telescoping Sums, Permutations, and First Occurrence Distributions

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.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-16411
Date01 December 2016
CreatorsGodbole, Anant, Hao, Jie
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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