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| Wald-Wolfowitz 游程检验× | 柯尔莫哥洛夫-斯米尔诺夫检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1940 | 1933 |
| 提出者≠ | Abraham Wald & Jacob Wolfowitz | Andrey Nikolaevich Kolmogorov; Nikolai Vasilyevich Smirnov |
| 类型≠ | Nonparametric randomness test | Nonparametric goodness-of-fit test |
| 开创性文献≠ | Wald, A. & Wolfowitz, J. (1940). On a test whether two samples are from the same population. Annals of Mathematical Statistics, 11(2), 147–162. DOI ↗ | Kolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari, 4, 83–91. link ↗ |
| 别名≠ | Wald-Wolfowitz test, runs test for randomness, Runs Testi (Wald-Wolfowitz) | KS test, K-S test, one-sample KS test, Kolmogorov-Smirnov Testi |
| 相关≠ | 5 | 2 |
| 摘要≠ | The Wald-Wolfowitz runs test is a nonparametric hypothesis test that determines whether a sequence of observations — coded as a series of binary symbols — follows a random pattern or contains systematic structure. Introduced by Abraham Wald and Jacob Wolfowitz in 1940, the test counts the number of uninterrupted runs of identical symbols and asks whether that count is consistent with random arrangement. | The Kolmogorov-Smirnov (KS) test is a nonparametric goodness-of-fit test that assesses whether a sample comes from a specified theoretical distribution, such as the normal or exponential. First formalised by Andrey Kolmogorov in 1933 and further developed by Nikolai Smirnov in 1948, it compares the empirical cumulative distribution function of the observed data against a target theoretical CDF and quantifies their maximum absolute deviation. |
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