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| カーネル密度推定と分布検定 (KDE)× | 分位点回帰× | |
|---|---|---|
| 分野≠ | 統計学 | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1956 | 1978 |
| 提唱者≠ | Rosenblatt (1956); Parzen (1962); textbook treatment by Silverman | Koenker & Bassett |
| 種類≠ | Nonparametric density estimation | Conditional quantile regression |
| 原典≠ | Rosenblatt, M. (1956). Remarks on Some Nonparametric Estimates of a Density Function. Annals of Mathematical Statistics, 27(3), 832-837. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| 別名≠ | kernel density estimate, KDE, Parzen window estimation, nonparametric density estimation | conditional quantile regression, regression quantiles, Kantil Regresyon |
| 関連≠ | 4 | 5 |
| 概要≠ | Kernel Density Estimation is a nonparametric method that estimates a continuous probability density by placing a smooth kernel function over each observation, without assuming any parametric distribution. It traces back to Rosenblatt (1956) and the textbook treatment by Silverman (1986), and it also supports distribution-comparison tests built on the estimated densities. | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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