A History of the Central Limit Theorem
A History of the Central Limit Theorem
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中心极限定理的历史
DOI：
10.1007/978-0-387-87857-7
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
H. Fischer
中科院分区：
文献类型：
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作者：
H. Fischer
本研究讨论了从1810年到1950年中心极限定理和相关概率极限定理的历史。在这种情况下，这本书还介绍了历史发展的分析概率论及其工具，如特征函数或时刻。中心极限定理最初是由拉普拉斯推导出来的，它是在经典概率的框架内对独立随机变量和的分布的近似的陈述，它集中在特定的问题和应用上。
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications.