เปรียบเทียบวิธี

	การถดถอยควอนไทล์บนควอนไทล์ (Quantile-on-Quantile (QQ) Regression)	แบบจำลอง ARMA (Autoregressive Moving Average)
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	2015	1970
ผู้ริเริ่ม	Sim and Zhou	George E. P. Box and Gwilym M. Jenkins
ประเภท	Nonparametric quantile regression	Time series model
แหล่งต้นตำรับ	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.
ชื่อเรียกอื่น	QQ regression, QQ approach, quantile-on-quantile approach, nonparametric quantile regression	ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
ที่เกี่ยวข้อง	6	5
สรุป	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.