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非正态总体下样本方差分布的高斯近似AI 解读

A Gaussian approximation to the distribution of the sample variance is developed using the Wilson-Hilferty (1931) approach. This approximation is compared with the well-known approximations due to Box (1953), Roy and Tiku (1962), and Tan and Wong (1977) by taking the exponential, Laplace, uniform, product normal, Weibull, lognormal, Tine, logistic, and various mixtures of normal distributions as parent populations. The Gaussian approximation, which can be used for…

多元方差分析中似然比统计量分布的正态近似AI 解读

A normal approximation to the null distribution of the likelihood ratio statistic for testing the multivariate general linear hypothesis is developed. This approximation is compared with the well-known approximations due to Box (1949) and Rao (1948). It is found that the approximations due to Box and Rao deteriorate as the number of variables or, in the terminology of one-way classification, the number of groups increases. Moreover, both approximations give poor results when…

多元方差分析中似然比统计量分布的正态近似AI 解读

SUMMARY A normal approximation to the null distribution of the likelihood ratio statistic for testing the multivariate general linear hypothesis is developed. This approximation is compared with the well-known approximations due to Box (1949) and Rao (1948). It is found that the approximations due to Box and Rao deteriorate as the number of variables or, in the terminology of one-way classification, the number of groups increases. Moreover, both approximations give poor…