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| Suy luận ngẫu nhiên Fisher× | Suy luận Bootstrap× | Phương pháp lấy mẫu lại Jackknife× | Hồi quy phân vị (Các biến thể phi tham số)× | |
|---|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê | Thống kê |
| Họ | Regression model | Regression model | Regression model | Regression model |
| Năm ra đời≠ | 1935 | 1979 | 1956 | 1978 |
| Người khởi xướng≠ | Ronald A. Fisher | Bradley Efron | Quenouille (1956); reviewed by Miller (1974) | Koenker & Bassett |
| Loại≠ | Exact permutation-based inference | Resampling-based inference | Resampling / bias and variance estimation | Quantile regression (nonparametric variants) |
| Công trình gốc≠ | Fisher, R. A. (1935). The Design of Experiments. Oliver & Boyd. link ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗ | Koenker, R. & Bassett, G. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Tên gọi khác | fisher randomization test, permutation inference, exact randomization test, randomizasyon çıkarımı (fisher exact randomization) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | leave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örnekleme | quantile regression, median regression, distribution-free quantile regression, Kantil Regresyon (Nonparametric Varyantlar) |
| Liên quan | 5 | 5 | 5 | 5 |
| Tóm tắt≠ | Randomization inference, introduced by Ronald A. Fisher in The Design of Experiments (1935), computes an exact p-value by evaluating a test statistic across all possible treatment assignments under Fisher's sharp null hypothesis. It is regarded as the gold standard for analysing designed experiments because its validity rests on the known assignment mechanism rather than on distributional assumptions. | Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples. | The jackknife is a classical resampling method that estimates the bias and variance of a statistic by systematically recomputing it with one observation left out at a time. Introduced by Quenouille in 1956 and later reviewed by Miller in 1974, it predates the bootstrap and remains a simple, deterministic tool for assessing estimator stability. | Quantile regression, introduced by Koenker and Bassett in 1978, models a chosen conditional quantile (such as the median or the 25th and 75th percentiles) of a continuous outcome rather than its mean. Its nonparametric variants fit these quantile relationships without assuming a distribution for the errors, making them a robust complement to mean-based regression on skewed data. |
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