摘要
对于χ2分布利用序贯试验法中的黄金分割法,研究了其在给定α(0<α<1),满足P(a<χ2<b)=1-α的最短区间问题,并进行了计算.然后对于χ2分布参数在给定的置信度下,应用上面方法求得了此时的最短置信区间,对上法求得的最短区间与通常所用的置信区间进行比较,得到在小样本情形下优化后的结果能显著提高估计精度.
Based on the definition of Х^2 distribution fraetile, we use the golden means to compute the minimum length intervals which suit P(a 〈 Х^2 〈 b) = 1 - α, as α is from 0 to 1, and then use the same method to compute the minimum confidence interval for Х^2 distribution parameter. To compare the computed result to the normal, the minimum confidence interval can obviously improve the precision of interval estimation in the case of small sample size.
出处
《合肥学院学报(自然科学版)》
2008年第1期29-31,51,共4页
Journal of Hefei University :Natural Sciences
基金
国家自然科学基金项目(10571001)资助
关键词
Х^2分布
分位数
区间估计
置信区间
Х^2 distribution
fractile
interval estimation
confidence interval