পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| অটো রিগ্রেসিভ কন্ডিশনাল হেটেরোস্কেডাস্টিসিটি (ARCH) মডেল× | ARIMA মডেল (অটোরিগ্রেসিভ ইন্টিগ্রেটেড মুভিং অ্যাভারেজ)× | ডিসি-জিএআরসিএইচ মডেল (ডাইনামিক কন্ডিশনাল কোরিলেশন)× | |
|---|---|---|---|
| ক্ষেত্র | অর্থমিতি | অর্থমিতি | অর্থমিতি |
| পরিবার | Regression model | Regression model | Regression model |
| উদ্ভবের বছর≠ | 1982 | 1970 | 2002 |
| প্রবর্তক≠ | Robert F. Engle | George Box and Gwilym Jenkins | Robert F. Engle |
| ধরন≠ | Conditional volatility model | Time series forecasting model | Multivariate volatility model |
| মৌলিক উৎস≠ | Engle, 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 ↗ | Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗ |
| অপর নাম | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | ARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q) | DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC |
| সম্পর্কিত≠ | 6 | 6 | 5 |
| সারসংক্ষেপ≠ | The 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 ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics. | The DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series. |
| ScholarGateডেটাসেট ↗ |
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