Document Type
Thesis
Publication Date
1994
Disciplines
Mathematics
Advisor
Jennifer Galovich
Abstract
The major index is a well-known statistic on permutations which is computed by summing the positions of descents in a permutation. Instead of considering descents, this paper investigates what happens when excedances are weighted by position in a permutation. Several theorems are presented concerning various symmetries of the resulting distribution.
Copyright Statement
Available by permission of the author. Reproduction or retransmission of this material in any form is prohibited without expressed written permission of the author.
Recommended Citation
Paulukonis, Ann Marie, "Nothing in Moderation, Everything in Excess: A New Weighted Statistic on Permutations" (1994). Honors Theses, 1963-2015. 468.
https://digitalcommons.csbsju.edu/honors_theses/468