A Note on Unbiased Estimation of the Standard Deviation

A Note on Unbiased Estimation of the Standard Deviation
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关于标准差无偏估计的注释

DOI:
10.1080/00031305.1969.10481865
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发表时间:
1969
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通讯作者:
Richard M. Brugger
Richard M. Brugger
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文献类型:
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作者:
Richard M. Brugger

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为了得到上述[2]的精度的概念,仅需要计算N的小值的c的值,并将这些值与(I?(二)以德为本。这已经完成,并在表1中给出。由于统计学中的许多工作都是处理有效位数有限的数据,因此建议当N为6或更大时,公式(2)是令人满意的。此外,这样一个简单的公式很容易被统计人员记住,也无需查阅表格。
To get an idea of the precision of [2] above, it is only necessary to compute values of c for small values of N and compare these values with corresponding values of (I? given by Bolch [2]. This has been done and is given in Table 1. Since much work in statistics deals with data with a limited number of significant digits, it is suggested that for N of 6 or larger, formula (2) is satisfactory. Furthermore, such a simple formula can easily be remembered by statisticians, and the need to consult a table is eliminated.