On a method of estimating frequencies

On a method of estimating frequencies
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DOI:
10.2307/2332299
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发表时间:
1945-11-01
期刊:
影响因子:
2.7
通讯作者:
Haldane, JBS
Haldane, JBS
中科院分区:
数学2区
文献类型:
--
作者:
Haldane, JBS

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一个人计算每次试验中一个事件的发生次数,直到发生了m次成功,并指定比率x=m/n,其中n是事件的总数。本文证明了x的频率的无偏估计是m[长虚线]1/n[长虚线]1,并且它的方差是近似的。等于m(n[长划线]m)/n2(n[长划线]1)。一个人计算每次试验中一个事件的发生次数,直到发生m次成功,并指定比率x=m/n,其中n是事件的总数。本文证明了x的频率的无偏估计是m[长虚线]1/n[长虚线]1,并且它的方差是近似的。等于m(n[长划线]m)/n2(n[长划线]1)。
A person counts the occurrences of an event per trial until m successes have occurred and designates the ratio x = m/n, where n is the total number of events. This article proves that an unbiased estimate of the frequency of x is m[long dash]1/n[long dash]1 and that its variance is approx. equal to m(n[long dash]m)/n2(n[long dash]1).A person counts the occurrences of an event per trial until m successes have occurred and designates the ratio x = m/n, where n is the total number of events. This article proves that an unbiased estimate of the frequency of x is m[long dash]1/n[long dash]1 and that its variance is approx. equal to m(n[long dash]m)/n2(n[long dash]1).