手法を比較

	Quantile-on-Quantile (QQ) 回帰	Granger因果性検定
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2015	1969
提唱者	Sim and Zhou	Clive W. J. Granger
種類	Nonparametric quantile regression	Causality test (F-test on VAR)
原典	Sim, N., & Zhou, H. (2015). Oil prices, US stock return, and the dependence between their quantiles. Journal of Banking and Finance, 55, 1-8.	Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438.
別名	QQ regression, QQ approach, quantile-on-quantile approach, nonparametric quantile regression	Granger test, GC test, predictive causality test, Granger non-causality test
関連	6	5
概要	Quantile-on-quantile regression is a nonparametric technique that estimates how the quantiles of one variable depend on the quantiles of another. By combining standard quantile regression with local linear smoothing, it produces a full two-dimensional surface of slope coefficients indexed by both the quantile of the outcome and the quantile of the predictor, revealing heterogeneous and asymmetric dependency structures invisible to standard regression.	The Granger causality test is a statistical hypothesis test that determines whether past values of one time series help predict future values of another, beyond what that series' own past already explains. Introduced by Clive Granger in 1969, it is the standard approach for assessing predictive causality in VAR-based time-series analysis.