“Cramér–von Mises test”的概念、定义、翻译、参考文献-科学参考

Cramér–von Mises test

Statistics

An alternative to the Kolmogorov–Smirnov test for testing the hypothesis that a set of data come from a specified continuous distribution. The test was suggested independently by Cramér in 1928 and von Mises in 1931. The test statistic W (sometimes written as W²) is formally defined by $Cramér–von Mises test$ where F₀(x) is the distribution function specified by the null hypothesis, F_n(x) is the sample distribution function, and f₀(x)=F₀′(x). In practice the statistic is calculated using $Cramér–von Mises test$ where $Cramér–von Mises test$ and x_(j) is the jth ordered observation (x₍₁₎≤x₍₂₎≤⋯≤x_(n)).
The test has been adapted for use with discrete random variables, for cases where parameters have to be estimated from the data, and for comparing two samples. A modification leads to the Anderson–Darling test.

单词	Cramér–von Mises test
释义	Cramér–von Mises test Statistics An alternative to the Kolmogorov–Smirnov test for testing the hypothesis that a set of data come from a specified continuous distribution. The test was suggested independently by Cramér in 1928 and von Mises in 1931. The test statistic W (sometimes written as W²) is formally defined by $Cramér–von Mises test$ where F₀(x) is the distribution function specified by the null hypothesis, F_n(x) is the sample distribution function, and f₀(x)=F₀′(x). In practice the statistic is calculated using $Cramér–von Mises test$ where $Cramér–von Mises test$ and x_(j) is the jth ordered observation (x₍₁₎≤x₍₂₎≤⋯≤x_(n)). The test has been adapted for use with discrete random variables, for cases where parameters have to be estimated from the data, and for comparing two samples. A modification leads to the Anderson–Darling test.
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