विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| कॉपुला मॉडल (गॉसियन, टी, क्लेटन, गंबेल, फ्रैंक)× | जोहान्सन सह-एकीकरण परीक्षण और सदिश त्रुटि सुधार मॉडल× | |
|---|---|---|
| क्षेत्र | वित्त | वित्त |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 1959 | 1991 |
| प्रवर्तक≠ | Sklar (1959); dependence-concept treatment by Joe (1997) | Søren Johansen |
| प्रकार≠ | Dependence model | Multivariate cointegration / vector error correction model |
| मौलिक स्रोत≠ | Sklar, A. (1959). Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut Statistique de l'Université de Paris, 8, 229-231. link ↗ | Johansen, S. (1991). Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models. Econometrica, 59(6), 1551-1580. DOI ↗ |
| उपनाम≠ | copulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank) | Johansen test, VECM, vector error correction model, multivariate cointegration |
| संबंधित≠ | 5 | 3 |
| सारांश≠ | Copula models are a family of functions that describe the dependence structure between variables separately from their individual (marginal) distributions. The foundation is Sklar's theorem (1959), which shows that any multivariate distribution can be split into its marginals plus a copula; Joe (1997) developed the modern catalogue of dependence concepts. They are central to portfolio risk and credit modelling. | The Johansen procedure is a multivariate cointegration framework, introduced by Søren Johansen in 1991, that tests for long-run equilibrium relationships among several I(1) time series. It determines how many cointegrating vectors link the series and then builds a Vector Error Correction Model (VECM) to describe the short-run dynamics around that equilibrium. |
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