正态总体中方差的两步置信区间
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.