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| Wald-Wolfowitz 游程检验× | Ljung-Box Q自相关检验× | |
|---|---|---|
| 领域≠ | 统计学 | 计量经济学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1940 | 1978 |
| 提出者≠ | Abraham Wald & Jacob Wolfowitz | Greta Ljung & George Box |
| 类型≠ | Nonparametric randomness test | Portmanteau 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 ↗ | Ljung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65(2), 297–303. DOI ↗ |
| 别名≠ | Wald-Wolfowitz test, runs test for randomness, Runs Testi (Wald-Wolfowitz) | Ljung-Box Q Test, Modified Box-Pierce Test, Portmanteau Test for Autocorrelation, Otokorelasyon Portmanteau Testi |
| 相关≠ | 5 | 3 |
| 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 Ljung-Box Q test is a diagnostic portmanteau test proposed by Ljung and Box (1978) to assess whether a group of autocorrelations in a time series residual sequence is jointly zero. It is widely used to evaluate the adequacy of fitted time series models — especially ARIMA models — by testing whether remaining residuals exhibit any systematic pattern. The test is applicable in econometrics, finance, and any field that relies on temporal data modeling. |
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