Polynomial Time Relatively Computable Triangular Arrays in a Multinomial Setting
Probability
2016-06-07 v2
Abstract
We extend the methods and results of [arXiv 1603.04896] to the setting of multinomial distributions satisfying certain properties. These include all the multinomial distributions arising from the direct proof of the Central Limit Theorem given in [arXiv: 1507.00357], which, by results of that paper, constitutes essentially full generality for the situations in which the Central Limit Theorem holds.
Cite
@article{arxiv.1603.06006,
title = {Polynomial Time Relatively Computable Triangular Arrays in a Multinomial Setting},
author = {Vladimir Dobric and Patricia Garmirian and Lee J. Stanley},
journal= {arXiv preprint arXiv:1603.06006},
year = {2016}
}
Comments
Garmirian and Stanley sadly report the passing of Vladimir Dobric in April 2015. Stanley is the corresponding author. 19 pages. New version resubmitted on 6 June 2016. There are no changes to the mathematical content, but we have expanded upon the exposition in the Introduction in the hope of better motivating the results