CONFIDENCE LIMITS FOR THE EXPECTED VALUE OF AN ARBITRARY BOUNDED RANDOM VARIABLE WITH A CONTINUOUS DISTRIBUTION FUNCTION

CONFIDENCE LIMITS FOR THE EXPECTED VALUE OF AN ARBITRARY BOUNDED RANDOM VARIABLE WITH A CONTINUOUS DISTRIBUTION FUNCTION
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具有连续分布函数的任意有界随机变量期望值的置信限

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发表时间：
1969
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通讯作者：
T. W. Anderson
T. W. Anderson
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文献类型：
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作者：
T. W. Anderson

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摘要：考虑一个随机变量X，对于已知有限数a和b (a < b)，具有连续累积分布函数F(X)，使得F(a) = 0， F(b) = 1。分布函数F(x)未知。从这个分布中抽取一个大小为n的样本。期望值EX的置信限适用于所有具有（a, b）的连续分布函数。
Abstract : Consider a random variable X with a continuous cumulative distribution function F(x) such that F(a) = 0 and F(b) = 1 for known finite numbers a and b (a < b). The distribution function F(x) is unknown. A sample of size n is drawn from this distribution. Confidence limits for the expected value EX are to be found that hold for all continuous distribution functions with (a, b).