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<p>In this paper, we present a new upper bound for the tail probability of the standard normal distribution. By combining our bound with the one proposed by Tate (<i>Annals of Mathematical Statistics</i>, <b>24</b>(1), 132–134, 1953), we offer a concise and effective bound that is suitable for most practical purposes.</p>

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A New Upper Bound of the Tail Probability of Standard Normal Distribution

  • 期刊论文

  • 发表日期：

    2025年2月28日

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  • Changyong Feng,
  • Hongyue Wang,
  • Honghong Liu

摘要

In this paper, we present a new upper bound for the tail probability of the standard normal distribution. By combining our bound with the one proposed by Tate (Annals of Mathematical Statistics, 24(1), 132–134, 1953), we offer a concise and effective bound that is suitable for most practical purposes.