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修订与勘误：非负随机变量均值的无分布下置信限
M. Breth, J. S. Maritz, E. J. Williams, Amendments and Corrections: On Distribution-Free Lower Confidence Limits for the Mean of a Nonnegative Random Variable, Biometrika, Vol. 66, No. 3 (Dec., 1979), p. 689
关于非负随机变量均值的分布无关置信下限
M. BRETH, J. S. MARITZ, E. J. WILLIAMS; ‘On distribution-free lower confidence limits for the mean of a nonnegative random variable’, Biometrika, Volume 66
非负随机变量均值的分布无关置信下限
A method for setting a distribution-free lower confidence limit for the mean of a non-negative random variable is developed, and compared with the procedure which relies on asymptotic normality of the distribution of the sample mean.
参数估计中直接论证与信任论证的比较
SUMMARY An approach to the problem of fiducial inference for dispersion on a sphere alternative to that adopted by R. A. Fisher is proposed.
非线性估计中的精确信赖限
SUMMARY In the problem of estimating an unknown parameter of a distribution (in normal regression or in more general situations), the determination of a point estimate and its distribution is contrasted with the setting of fiducial limits for the parameter value. The use of a point estimate is effective for setting fiducial limits only when the estimate is a sufficient statistic for the parameter. Exact fiducial limits can be determined for the non-linear parameters in a…
Summary Hotelling's test of significance for difference in efficiency of predictors is reformulated in terms of regression analysis. A test proposed by Healy is shown to differ from Hotelling’s test in general.
多元分析中的若干精确检验
Some exact significance tests for use in discriminant analysis are derived. A general method of deriving exact tests where sufficient or quasi-sufficient statistics do not exist is indicated.
析因实验中交互作用的解释
Where the joint effects of two or more factors are not additive, a simple model is proposed for representing the effects. The effects of one factor are assumed to be proportional, rather than equal, at different levels of the other factors. The main effects of the first factor are given as weighted averages of the simple effects at the different levels of the other factors, the weights being the estimated factors of proportionality. The weights are given as the latent vector…