On a confidence interval of given length for the parameter of the binomial and the Poisson distributions
On a confidence interval of given length for the parameter of the binomial and the Poisson distributions
复制标题
在给定长度的二项分布和泊松分布参数的置信区间上
DOI：
--
复制
发表时间：
1961
期刊：
影响因子：
--
通讯作者：
Masao Tanaka
中科院分区：
文献类型：
--
作者：
Masao Tanaka
单阶段抽样构造的置信区间长度是一个随机变量，而序列抽样构造的置信区间长度和置信系数都是给定的。当然，这种方法所需的样本量是一个随机变量。在人口正常的情况下，这类问题已经在几篇论文中讨论过（参见参考文献[2]，[3],[4]）。在本文中，我们将在二项和泊松情况下讨论这个问题。
SummaryThe length of the confidence interval which is constructed by one stage sampling is a random variable, whereas we can construct a confidence interval of given length and of given confidence coefficient by a sequential sampling. Of cource, the sample size required by this method is a random variable. This type of problem has already been discussed in several papers when the population is normal (see references [2], [3], [4]). In this paper we shall discuss this subject in the binomial and Poisson cases.