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مدل ARCH (ناهمسان‌گسیختگی شرطی خودرگرسیو)×مدل ARMA (میانگین متحرک خودرگرسیو)×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهRegression modelRegression model
سال پیدایش19821970
پدیدآورRobert F. EngleGeorge E. P. Box and Gwilym M. Jenkins
نوعConditional volatility modelTime series model
منبع بنیادینEngle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
نام‌های دیگرARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
مرتبط65
خلاصهThe ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.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.
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ScholarGateمقایسهٔ روش‌ها: ARCH model · ARMA model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare