手法を比較

	Quantile-on-Quantile (QQ) 回帰	ARMAモデル（自己回帰移動平均）
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2015	1970
提唱者	Sim and Zhou	George E. P. Box and Gwilym M. Jenkins
種類	Nonparametric quantile regression	Time series model
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.	Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day.
別名	QQ regression, QQ approach, quantile-on-quantile approach, nonparametric quantile regression	ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
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 ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.