论文检索

非正态总体下非平衡随机效应模型中F比的零假设与备择分布近似AI 解读

In this article we consider the unbalanced random-effects model as given in (1.1) with random variables from nonormal universes. Assuming that the αi 's are independently distributed of the eij 's, an approximation to the joint distribution of the mean squares (and hence the F ratio) by using Laguerre polynomials is derived. These results are then used to examine the effects of departure from normality on the traditional F-ratio distribution.

摘要暂缺

摘要暂缺

非正态总体样本方差分布的 Roy–Tiku 近似AI 解读

Some justifications for the Roy-Tiku (1962) approximation to the distributions of sample variances by Laguerre polynomial series are provided. It is shown that if one approximates any nonnegative continuous random variable by a finite series of Laguerre polynomials up to the kth degree, then the first k moments of the approximated distribution are equal to the first k moments of the random variable. We also derive an alternative Laguerre series approximation, including the…