The Probability Distribution for Draws Until First Success Without Replacement
The Probability Distribution for Draws Until First Success Without Replacement
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没有替换的情况下第一次成功之前平局的概率分布
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
John Ahlgren
中科院分区：
文献类型：
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作者：
John Ahlgren
我们考虑两个不同对象的瓮设置，“好”和“坏”，并分析无替换的抽奖次数，直到挑选到一个好的对象。尽管此设置的预期抽奖次数是标准教科书练习，但我们计算了方差，并表明该分布收敛于几何分布。
We consider the urn setting with two different objects, ``good' and ``bad', and analyze the number of draws without replacement until a good object is picked. Although the expected number of draws for this setting is a standard textbook exercise, we compute the variance, and show that this distribution converges to the geometric distribution.