@inproceedings{e7894c0a3c874af2849be0124f72033a,
title = "A Refinement of the Multinomial Distribution with Application",
abstract = "A refinement of the multinomial distribution is presented where the number of inversions in the sequence of outcomes is tallied. This refinement of the multinomial distribution is its joint distribution with the number of inversions in the accompanying experiment. An application of this additional information is described in which the number of inversions acts as a proxy measure of homogeneity (or lack thereof) in the sequence of outcomes.",
keywords = "05A05, 60E05, Multinomial distribution, Permutation inversion statistic, q-multinomial theorem",
author = "Sills, {Andrew V.}",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 1st Southern Georgia Mathematics Conference, SGMC 2021 ; Conference date: 02-04-2021 Through 03-04-2021",
year = "2024",
doi = "10.1007/978-3-031-69706-7_9",
language = "English",
isbn = "9783031697050",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "225--242",
editor = "Divine Wanduku and Shijun Zheng and Zhan Chen and Andrew Sills and Haomin Zhou and Ephraim Agyingi",
booktitle = "Applied Mathematical Analysis and Computations I - 1st SGMC",
address = "Germany",
}