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The Multivariate Linear Hypothesis with Nonnormal Errors and a Classical Setting for the Structure of Inference in a Special Case

J. G. Saw刊期 1970-12 · 卷 57（3）Biometrika已编入正刊

非正态误差下的多元线性假设与特殊情形的结构推断经典框架AI 解读

SUMMARY The distribution theory is given attendant on a model wherein a matrix of observable random variables is linearly related to a matrix of error random variables. This gives rise to an alternative derivation of Fraser's structural distribution on parameters for the linear model. The error variables are not necessarily normal, though when they are an alternative derivation of the Wishart density emerges together with some other results of possible interest.

检验与推断
被引 0 次 ↗OpenAlex · 核验
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The multivariate linear hypothesis with nonnormal errors and a classical setting for the structure of inference in a special case

J. G. SAW刊期 1970 · 卷 57（3）Biometrika已编入正刊

非正态误差下的多元线性假设及特殊情形的经典推断结构AI 解读

SUMMARY The distribution theory is given attendant on a model wherein a matrix of observable random variables is linearly related to a matrix of error random variables. This gives rise to an alternative derivation of Fraser's structural distribution on parameters for the linear model. The error variables are not necessarily normal, though when they are an alternative derivation of the Wishart density emerges together with some other results of possible interest.

检验与推断
被引 3 次 ↗OpenAlex · 核验
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Linear estimates of a population scale parameter

F. C. BARNETT · K. MULLEN · J. G. SAW刊期 1967 · 卷 54（3-4）Biometrika已编入正刊

总体尺度参数的线性估计AI 解读

Downton (1966) proposed an estimator, σ*, for σ, the standard deviation of a normal population. This estimator is a simple linear combination of the order statistics of a sample from the population. In the present paper, four moments of σ* are given in closed form and the use of Y = (μ − μo)/σ* is investigated as a possible competitor to the usual Student‘s test on the location of the normal population. It is shown that a test based on Y is almost as powerful as Student’s…

一般估计检验与推断
被引 31 次 ↗OpenAlex · 核验
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Efficient moment estimators when the variables are dependent with special reference to type II censored normal data

J. G. SAW刊期 1962 · 卷 49（1-2）Biometrika已编入正刊

变量相依时的有效矩估计：以第二类删失正态数据为例AI 解读

pair of equations in ,u and &, the maximum likelihood estimates of ,u and o, are tiresome to handle computationally (Gupta, 1952). Though some considerable attention has been given to the solution of the maximum likelihood equations in this case (Cohen, 1957), and various alternatives to the maximum likelihood estimators have been proposed (Sarhan & Greenberg, 1956, 1958; Saw, 1959), it remains an interesting field in which to apply the methods suggested in this paper.…

极大与准极大似然
被引 1 次 ↗OpenAlex · 核验
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The bias of the maximum likelihood estimates of the location and scale parameters given a type II censored normal sample

J. G. SAW刊期 1961 · 卷 48（3-4）Biometrika已编入正刊

Ⅱ型删失正态样本中位置与尺度参数极大似然估计的偏差AI 解读

J. G. SAW; The bias of the maximum likelihood estimates of the location and scale parameters given a type II censored normal sample, Biometrika, Volume 48, Issu

极大与准极大似然
被引 16 次 ↗OpenAlex · 核验
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