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正态总体中方差的两步置信区间(英文)
Two-Stage Confidence Intervals for the Variance of a Normal Distribution
【摘要】 利用两阶段抽样,我们具体给出了正态总体方差的一个置信区间,它同时满足可靠度与精度,利用数值计算的方法,我们计算出第一阶段的最优抽样量。此外,我们证明了一次抽样时同时满足可靠度与精度的置信区间的不存在性。
【Abstract】 In this paper, we concretely design a fixed-width confidence interval for the variance σ2 of a normal distribution N(μ,σ2) by two-stage procedures and provide the optimal sample size of the first stage by numerical computations. Moreover, for fixed samples, we establish a proof for the non-existence of fixed-width confidence interval for σ2. .
【关键词】 置信区间;
序贯置信区间;
两步置信区间;
d1一致连续;
【Key words】 Confidence interval; sequential confidence intervals; two-stage confidence intervals; uniformly continuous.;
【Key words】 Confidence interval; sequential confidence intervals; two-stage confidence intervals; uniformly continuous.;
【基金】 Fund of National Nature Science(No.19971001)of China
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,2003年02期
- 【分类号】O211.2
- 【被引频次】5
- 【下载频次】79