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Galton–Watson 分枝过程年龄的非参数估计
Some properties are developed for some nonparametric estimators of the age of a Galton-Watson branching process. A Monte-Carlo simulation shows that these estimators compare favourably with a parametric estimator studied earlier by Stigler (1970).
Galton–Watson 分枝过程年龄的非参数估计
Some properties are developed for some nonparametric estimators of the age of a Galton-Watson branching process. A Monte-Carlo simulation shows that these estimators compare favourably with a parametric estimator studied earlier by Stigler (1970).
杂记：涉及方差分量假设的另一种近似F检验
An alternative procedure is given to that presently used for assigning approximate degrees of freedom to the usual ratio of synthetic mean squares which is used as an approximate F statistic in analysis of variance. The standard procedure assigns pseudo degrees of freedom by treating the numerator and denominator separately, approximating each as a X2 distribution and equating the first two moments. Here the statistic is approximated directly as an F statistic. Monte Carlo…
涉及方差分量正线性组合的 Satterthwaite 检验替代方法
This article proposes a refinement of the usual approximation due to Satterthwaite for making a significance test when the test statistic involves a single mean square in the numerator and a linear combination of mean squares in the denominator, that linear combination involving known positive constants. The test procedure is outlined in detail, and its derivation given in a separate section. The development of the technique essentially involves determining, by successive…
涉及方差分量正线性组合的 Satterthwaite 检验替代方法
This article proposes a refinement of the usual approximation due to Satterthwaite for making a significance test when the test statistic involves a single mean square in the numerator and a linear combination of mean squares in the denominator, that linear combination involving known positive constants. The test procedure is outlined in detail, and its derivation given in a separate section. The development of the technique essentially involves determining, by successive…
样本变异系数的分位点
This paper provides a simple formula for calculating percentage points of the sample coefficient of variation in the case of a normal parent distribution. The expression appears to be better than the existing approximations in the practical range of the population coefficient of variation V = óμ. The final product is a power series in V which agrees to four decimal places with an unpublished table of exact values.
样本变异系数的分位点计算
This paper provides a simple formula for calculating percentage points of the sample coefficient of variation in the case of a normal parent distribution. The expression appears to be better than the existing approximations in the practical range of the population coefficient of variation V = óμ. The final product is a power series in V which agrees to four decimal places with an unpublished table of exact values.