Theory of statistical estimation.

Theory of statistical estimation.
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DOI:
10.1017/s0305004100009580
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发表时间:
1925-01-01
影响因子:
--
通讯作者:
Fisher, RA
Fisher, RA
中科院分区:
其他
文献类型:
--
作者:
Fisher, RA

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有人向我指出,以下调查中使用的一些统计思想从未得到严格的逻辑定义和分析。例如,频率曲线的概念显然意味着无限的假设群体以明确的方式分布。但同样明显的是,无限假设总体的想法需要比该短语中包含的更精确的逻辑规范。对于密切相关的随机抽样的想法也可以这样说。这些想法已经在实际统计学家的脑海中形成,并且是最近工作的基础;它们的实用价值是毫无疑问的。处理这些想法的逻辑基础并不是我的初衷,但是伯恩赛德博士善意地发表的一些评论使我相信,可能需要为批评列出我认为可以建立这些想法的逻辑基础的方式。
It has been pointed out to me that some of the statistical ideas employed in the following investigation have never received a strictly logical definition and analysis. The idea of a frequency curve, for example, evidently implies an infinite hypothetical population distributed in a definite manner; but equally evidently the idea of an infinite hypothetical population requires a more precise logical specification than is contained in that phrase. The same may be said of the intimately connected idea of random sampling. These ideas have grown up in the minds of practical statisticians and lie at the basis especially of recent work; there can be no question of their pragmatic value. It was no part of my original intention to deal with the logical bases of these ideas, but some comments which Dr Burnside has kindly made have convinced me that it may be desirable to set out for criticism the manner in which I believe the logical foundations of these ideas may be established.