两正态总体方差比的置信区间的优化研究
Optimal Confidence Interval For The Ratio Of Variance from Two Normal Distribution
在置信区间端点比值最小的意义下，推导出求解优化置信区间的条件，得到这一区间实际上也就是UMAU(一致最准确无偏)置信区间，并证明了优化置信区间的存在唯一性。对于给定的水平gamma=1-alpha=0.99，求得了样本容量(m-1, n-1)从(4, 5)至(40，40)的范围内的端点值。
Based on minimizing the ratio of the right endpoint to the left endpoint of the confidence interval, we deduce the conditions of the optimal confidence interval for the ratio of variance from two normal distribution, and find the interval is also the UMAU confidence interval. The existence and uniqueness of it are proved. The sample sizes from (5,6) to (41,41) are considered for the given level gamma=0.99.
蔡洁
数学
正态总体，方差比，优化置信区间
normal population ratio of variance optimal confidence interval
蔡洁.两正态总体方差比的置信区间的优化研究[EB/OL].(2007-09-13)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/200709-250.点此复制
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