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比较拟合优度检验的图形方法AI 解读

SUMMARY A method for comparing tests of normality using their ‘isotones‘, i.e. contours on the surfaces representing p-values, is proposed. Select a family of distributions labelled by two parameters λ1 and λ2 to represent the null and alternative hypotheses. For each (λ1, λ2) take an ‘ideal sample’ from that distribution, calculate the value of the goodness-of-fit statistic and determine the corresponding P-value under the normality assumption. This generates a surface of…

三种简单稳健估计量的 Student t 近似AI 解读

Suppose that Tn is an estimator of a location parameter θ, Sn is an estimator of its standard error, and both are based on a random sample of size n. Then, approximations of (Tn – θ)/Sn in terms of Student's t are convenient and useful in confidence-interval estimation and tests of hypotheses of θ. In this article some moment-based t approximations of studentized trimmed means, the trimean, and Gastwirth's estimator are constructed at the normal and several near-normal…

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