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适用于两个不同分布的修正 Wilcoxon 检验AI 解读

Given independent samples from the continuous distributions F(x) and G(y), which may be quite different, we here consider using the Wilcoxon or Mann-Whitney test, with the normal approximation, to test between H0: pr(X > Y) = p0 and H1: pr(X > Y)>p0, especially with p0 = ½. A modification of the Wilcoxon test due to Potthoff and to Zaremba is considered. Additional restrictions are introduced to give improved tests. Considerations of asymptotic relative efficiency and Monte…

针对两个不同分布的修正Wilcoxon检验AI 解读

Given independent samples from the continuous distributions F(x) and G(y), which may be quite different, we here consider using the Wilcoxon or Mann-Whitney test, with the normal approximation, to test between H0: pr(X > Y) = p0 and H1: pr(X > Y)>p0, especially with p0 = ½. A modification of the Wilcoxon test due to Potthoff and to Zaremba is considered. Additional restrictions are introduced to give improved tests. Considerations of asymptotic relative efficiency and Monte…

具有较高功效的修正经验分布函数拟合优度检验AI 解读

Modified forms of the Kolmogorov-Smirnov, Cramér-von Mises and Anderson-Darling goodness-of-fit tests have been studied for the situation where parameters have to be estimated. Using Monte Carlo power studies, it is shown that some of the new tests effect improvements over other known tests.

一种依赖性检验AI 解读

A statistic Y is distributed normally with mean g(χ) and variance σ2. A simple method is here given for testing whether or not g(χ) is independent of χ, in a situation where replication is impractical.

一种依赖关系检验AI 解读

A statistic Y is distributed normally with mean g(χ) and variance σ2. A simple method is here given for testing whether or not g(χ) is independent of χ, in a situation where replication is impractical.

关于概率与分位数的推断AI 解读

Summary It is intended to make inferences on the basis of a set of observations resulting from n replicates of an experiment, where each observation X has distribution F(x; θ), in order to provide information about a future performance of the same experiment, or a small number of such future performances. In such a situation the inference should concern the probability of an event occurring in the future experiment, rather than directly concern the parameter θ (a vector in…

降雨发生的概率模型AI 解读

Summary A probability model for the occurrence of wet and dry days at Tel Aviv is proposed as an alternative to an earlier one given by Gabriel and Neumann. The new model, which assumes exponential distributions for the lengths of spells of continuous dryness or continuous rain, is found to fit rainfall data for Tel Aviv well, and to represent certain conditional probabilities more satisfactorily than that of Gabriel and Neumann.