विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| सुदृढ़ ग्रेंजर कार्य-कारण परीक्षण× | वेक्टर ऑटोरिग्रेशन (VAR) मॉडल× | |
|---|---|---|
| क्षेत्र | अर्थमिति | अर्थमिति |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 2006 (robust variant); 1969 (original Granger) | 2005 |
| प्रवर्तक≠ | Hacker & Hatemi-J (robust bootstrap variant); Granger (original causality concept) | Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition |
| प्रकार≠ | Hypothesis test | Multivariate time-series model |
| मौलिक स्रोत≠ | Hacker, R. S., & Hatemi-J, A. (2006). Tests for causality between integrated variables using asymptotic and bootstrap distributions: Theory and application. Applied Economics, 38(13), 1489–1500. DOI ↗ | Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗ |
| उपनाम | bootstrap Granger causality, heteroscedasticity-robust Granger causality, non-asymptotic Granger causality test, RGC | vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon |
| संबंधित | 4 | 4 |
| सारांश≠ | Robust Granger causality extends the classic Granger causality framework by using bootstrap-based or heteroscedasticity-robust critical values rather than asymptotic chi-squared tables. This makes the test reliable in finite samples and when the data exhibit non-normality, heteroscedasticity, or near-integration, settings where the standard F- or Wald-based test is known to over-reject. | Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005). |
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