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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Telescoping Sums, Permutations, and First Occurrence Distributions

Godbole, Anant, Hao, Jie 01 December 2016 (has links) (PDF)
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.
ascents
cycles
pattern avoidance
permutations
telescoping series
Mathematics and Statistics

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