变异系数的统计推断及其应用  

The Statistical Inference of Variation Coefficient of Sample and Its Applications

作　　者：吴媚[1,2] 顾赛赛[1] 

机构地区：[1]东南大学数学系,江苏南京210096 [2]南京化工职业技术学院基础部,江苏南京210048

出　　处：《铜仁学院学报》2010年第1期139-141,144,共4页Journal of Tongren University

摘　　要：变异系数是反映总体离散程度的重要指标。应用delta方法研究了样本变异系数的渐近分布,进一步构造了其置信区间及检验统计量,并用Monte Carlo方法给出了置信区间的模拟覆盖概率和检验的模拟功效,最后分析了一组实际考试成绩。Variation Coefficient is an important indicator to reflect the overall degree of dispersion.In this paper,we studied the asymptotic distribution of variation coefficient of sample by the delta method,and further established confidence interval and test statistics,and gave the simulation coverage probability of confidence intervals and the simulation effectiveness of test by Monte Carlo method,and finally we analyzed a group of practical examination results by the method obtained from this paper.

关 键 词：变异系数 delta方法 区间估计 假设检验 

分 类 号：O212[理学—概率论与数理统计]