- 主题:中心极限定理的名字字面怎么理解?
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FROM 106.121.68.*
The term “central limit theorem” most likely traces back to Georg Pólya. As he recapitulated at the beginning of a paper published in 1920, it was “generally known that the appearance of the Gaussian probability density e–x2” in a great many situations “can be explained by one and the same limit theorem,” which plays “a central role in probability theory” [Pólya 1920, 171]. Laplace had discovered the essentials of this fundamental theorem in 1810, and with the designation “central limit theorem of probability theory,” which was even emphasized in the paper’s title, Pólya gave it the name that has been in general use ever since.
Fischer refers to the paper by G. Pólya, Uber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem, Mathematische Zeitschrift, 8 (1920), pp. 171–181.
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FROM 183.192.19.*
好吧 还是没太明白 怎么就中心 和极限有何关系
【 在 bsxfun 的大作中提到: 】
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: The term “central limit theorem” most likely traces back to Georg Pólya. As he recapitulated at the beginning of a paper published in 1920, it was “generally known that the appearance of the Gaussian probability density e–x2” in a great many situations “can be explained by one and the same limit theorem,” which plays “a central role in probability theory” [Pólya 1920, 171]. Laplace had discovered the essentials of this fundamental theorem in 1810, and with the designation “central limit theorem of probability theory,” which was even emphasized in the paper’s title, Pólya gave it the name that has been in general use ever since.
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FROM 106.121.166.*
中心就是数学期望
极限就是多做几次随机试验,
大概就这么个意思
【 在 trabalhar 的大作中提到: 】
: 好吧 还是没太明白 怎么就中心 和极限有何关系
: tions “can be explained by one and the same limit theorem,” which plays “a central role in probability theory” [Pólya 1920, 171]. Laplace had discovered the essentials of this fundamental theorem in 1810, and with the designation “central limit theo
: rem of probability theory,” which was even emphasized in the paper’s title, Pólya gave it the name that has been in general use ever since.
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FROM 183.131.109.*
明白点了
【 在 easior 的大作中提到: 】
: 中心就是数学期望
: 极限就是多做几次随机试验,
: 大概就这么个意思
: ...................
--来自微微水木3.5.12
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FROM 106.121.166.*
看样子英文阅读有待加强啊。
Pólya第一次在论文中用了“central limit theorem”这个说法。bsxfun贴的那段英文是Pólya文章摘要里提到“central”的部分(原文非英文)。我再引用维基百科中关于为什么Pólya用“central”来命名这个定义的一段话。下面这段话的意思很清楚,Pólya是因为这个定理地位很重要(play a central role)才将其命名为“central”。当然,这里也提了,法国学派对“central”这个词另有解释,认为“central”指的是这个定理描述的是分布的“centre”而不是“tails”。
The actual term "central limit theorem" (in German: "zentraler Grenzwertsatz") was first used by George Pólya in 1920 in the title of a paper.[44][45] Pólya referred to the theorem as "central" due to its importance in probability theory. According to Le Cam, the French school of probability interprets the word central in the sense that "it describes the behaviour of the centre of the distribution as opposed to its tails".[45]
【 在 trabalhar 的大作中提到: 】
: 好吧 还是没太明白 怎么就中心 和极限有何关系
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FROM 162.105.160.*
真费劲啊 汗
【 在 Dionusos 的大作中提到: 】
: 看样子英文阅读有待加强啊。
: Pólya第一次在论文中用了“central limit theorem”这个说法。bsxfun贴的那段英文是Pólya文章摘要里提到“central”的部分(原文非英文)。我再引用维基百科中关于为什么Pólya用“central”来命名这个定义的一段话。下面这段话的意思很清楚,Pólya是因为这个定理地位很重要(play a central role)才将其命名为“central”。当然,这里也提了,法国学派对“central”这个词另有解释,认为“central”指的是这个定理描述的是分布的“centre”而不是“tails”。
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--来自微微水木3.5.12
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FROM 106.121.166.*