样本变异系数的极限分布及其应用

样本变异系数的极限分布及其应用 THE LIMITING DISTRIBUTION OF THE SAMPLE COEFFICIENT OF VARIATION AND ITS APPLICATIONS 张尧庭 Zhang Yaoting Liu Chuanliang first-author 刘传良 本文讨论了一总体和多总体样本变异系函数的极限分布,并将此结果用于以总体变异系数为指标的因子试验问题,得到了用正交表安排试验时,检验因子水平效应是否相同的统计量以及相应的极限分布。 In this paper, we discussed the limiting distributions of the functions of sample coefficients of variation, when the samples are from several populations. Applying the results to the factorial experiment problems of the coefficients of variation, we obtained the statistics for testing the hypothesis, that the effects of the different levels of a factor are the same, when the experiments are arranged in the orthogonal arrays, and we derived the limiting distribution of the statistics. 1980-03-01 2021-04-01 3