关于 k 阶 Poisson 分布的众数
统计理论
2013-01-07 v4 统计理论
摘要
建立了 k 阶 Poisson 分布众数的尖锐上下界。本文建立的下界优于先前建立的下界。此外，对于 k = 2, 3, 4, 5，证明了一个近期的猜想，从而部分解决了自 1983 年以来的一个开放问题。
关键词
引用
@article{arxiv.1204.3186,
title = {On the modes of the Poisson distribution of order k},
author = {Constantinos Georghiou and Andreas N. Philippou and Abolfazl Saghafi},
journal= {arXiv preprint arXiv:1204.3186},
year = {2013}
}
备注
This article is related to several papers published in the Fibonacci Quarterly and solves partially an open problem since 1983, which was posed again and published in the Proceedings of the Thirteenth International Conference on Fibonacci Numbers and their Applications, Congressus Numerantium, 201 (2010), 382-383