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| Quantilregression (nichtparametrische Varianten)× | Kernel Density Estimation und Verteilungstests (KDE)× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1978 | 1956 |
| Urheber≠ | Koenker & Bassett | Rosenblatt (1956); Parzen (1962); textbook treatment by Silverman |
| Typ≠ | Quantile regression (nonparametric variants) | Nonparametric density estimation |
| Wegweisende Quelle≠ | Koenker, R. & Bassett, G. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ | Rosenblatt, M. (1956). Remarks on Some Nonparametric Estimates of a Density Function. Annals of Mathematical Statistics, 27(3), 832-837. DOI ↗ |
| Aliasnamen≠ | quantile regression, median regression, distribution-free quantile regression, Kantil Regresyon (Nonparametric Varyantlar) | kernel density estimate, KDE, Parzen window estimation, nonparametric density estimation |
| Verwandt≠ | 5 | 4 |
| Zusammenfassung≠ | 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. | 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. |
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