Scholarlink

The normal distribution is used extensively in probability theory, statistics, and the natural and social sciences. It is also called the Gaussian distribution because Carl Friedrich Gauss, in 1809, used it to analyze astronomical data. The normal distribution was (a) first introduced by Abraham de Moivre in 1733, as an approximation to a binomial distribution (b) used by Laplace, in 1774, as an approximation to hypergeometric distribution to analyze errors of experiments and (c) employed, in the past, by Legendre, Peirce, Galton, Lexis, Quetelet, etc. The normal distribution can be used as an approximation to other distributions because the standardized sum of a large number of independent and identically distributed random variables is approximately normally distributed. Thus, the normal distribution can be used when a large number of non-normal distribution correspond more closely to observed values.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Normal Distribution: Its Properties, Importance, and Applications in Science

  • 工具书词条

  • 发表日期：

    2025年

查看全文
  • Pushpa Narayan Rathie,
  • Luan Carlos de Sena Monteiro Ozelim,
  • Miodrag Lovric

摘要

The normal distribution is used extensively in probability theory, statistics, and the natural and social sciences. It is also called the Gaussian distribution because Carl Friedrich Gauss, in 1809, used it to analyze astronomical data. The normal distribution was (a) first introduced by Abraham de Moivre in 1733, as an approximation to a binomial distribution (b) used by Laplace, in 1774, as an approximation to hypergeometric distribution to analyze errors of experiments and (c) employed, in the past, by Legendre, Peirce, Galton, Lexis, Quetelet, etc. The normal distribution can be used as an approximation to other distributions because the standardized sum of a large number of independent and identically distributed random variables is approximately normally distributed. Thus, the normal distribution can be used when a large number of non-normal distribution correspond more closely to observed values.