مقایسهٔ روش‌ها

	مدل آریما (میانگین متحرک یکپارچه خودرگرسیو)	پچ‌تی‌اس‌تی	جنگل تصادفی
حوزه	اقتصادسنجی	یادگیری عمیق	یادگیری ماشین
خانواده	Regression model	Machine learning	Machine learning
سال پیدایش	2015	2023	2001
پدیدآور	Box & Jenkins (Box-Jenkins methodology)	Nie, Y. et al.	Breiman, L.
نوع	Univariate time-series model	Transformer for time series forecasting	Ensemble (bagging of decision trees)
منبع بنیادین	Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021	Nie, Y., Nguyen, N. H., Sinthong, P. & Kalagnanam, J. (2023). A Time Series is Worth 64 Words: Long-term Forecasting with Transformers. ICLR.	Breiman, L. (2001). Random Forests. Machine Learning, 45, 5–32.
نام‌های دیگر	Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli	PatchTST — Yama Tabanlı Zaman Serisi Transformer, patch-based time series transformer, channel-independent transformer	Rastgele Orman (Random Forest), rastgele orman, random decision forest, bagged tree ensemble
مرتبط	5	3	4
خلاصه	ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).	PatchTST is a patch-based Transformer architecture for time series forecasting, introduced by Nie and colleagues in 2023, that cuts each series into overlapping patches treated as tokens and processes channels independently. It balances computational efficiency with strong accuracy on long-horizon forecasting.	Random Forest is an ensemble learning method, introduced by Leo Breiman in 2001, that grows many decision trees on bootstrap samples of the data and combines their votes to produce strong classification and regression. By pooling many slightly different trees, it produces more accurate and more stable predictions than any single tree.