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变异系数相同但未知的两个正态总体的极大似然估计AI 解读

Maximum likelihood estimates are derived for the parameters of two normal populations with coefficients of variation equal but unknown. Formulas are provided for calculating the asymptotic variances and covariances of the estimates. The relative efficiency of the proposed mean estimator with respect to the sample mean is shown to be greater than one. The effect of departures from the assumptions of normality and of equal coefficients of variation on this relative efficiency…

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含随机协变量的 Friedman 检验多元扩展AI 解读

This article investigates a nonparametric procedure for testing for no treatment differences in multivariate two-way layouts with random covariates. The method is an extension of the Friedman χ r 2-test. Permutation and asymptotic permutation distributions are given and various asymptotic relative efficiency results are presented. An example illustrates the method.

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按实验设计获得的时间序列实现AI 解读

This article presents a data analysis approach consisting of a synthesis of experimental design methods and spectral methods of time series analysis which is appropriate in exploratory situations where the recording process generates a long sequence of correlated observations.

按实验设计获取的时间序列实现AI 解读

This article presents a data analysis approach consisting of a synthesis of experimental design methods and spectral methods of time series analysis which is appropriate in exploratory situations where the recording process generates a long sequence of correlated observations.

Friedman 秩检验的多元扩展AI 解读

This paper deals with a multivariate extension of Friedman's χ2 r -test. A rank permutation distribution and the large sample properties of the criterion are studied. The asymptotic relative efficiency (A.R.E.) for a sequence of translation alternatives is studied and bounds are given for certain special cases. It is shown that, under specified conditions, the A.R.E. of this test with respect to the likelihood ratio test is largest when the block dispersion matrices differ…