Improvement of the Ushakov bound
Improvement of the Ushakov bound
复制标题
乌沙科夫界的改进
DOI：
10.1080/03610926.2020.1737878
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Tanaka Hidekazu
中科院分区：
文献类型：
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作者：
Kobayashi Kensho;Tanaka Hidekazu
考虑离散单峰分布，提出了一个关于模的尾概率的上界，它比Bienaymé-Chebyshev界和Ushakov界都要尖锐.此外，通过使用所建议的界限，当均值等于众数时，给出了三个标准差范围之外的概率的上界。
Considering a discrete unimodal distribution, an upper bound on a tail probability about a mode is suggested, which can be shown to be sharper than both the Bienaymé-Chebyshev bound and the Ushakov bound. Furthermore, by using the suggested bound, an upper bound on the probability outside the range of three standard deviations is given when a mean equals a mode.