基于貝葉斯分位回歸理論的截面相依面板協(xié)整研究
[Abstract]:Nonstationary panel data is a frontier issue in econometrics. Among them, panel unit root and cointegration, as the development and extension of time series unit root and traditional cointegration theory in panel data, are of great significance. The cross-sectional dependence between economic, management or financial panel data, especially the panel data of a country (region or individual unit), is a common feature. Therefore, panel co-integration considering the assumption of cross-sectional dependence is more suitable for practical application and is also a hot issue in panel data research. In this paper, we study the panel co-integration with cross-section dependence. In the Bayesian framework, we assume that each section has cross-section dependence characteristics. Combined with Bayesian quantile regression estimation method, we propose a Bayesian quantile co-integration model for panel data. Bayesian quantile co-integration model can give full play to Bayesian method. The advantages of parametric uncertainties and the advantages of quantile regression not only can depict the central trend of the response variables, but also can depict the tail behavior of the variables are illustrated. The method and tool support are provided for describing the long-term equilibrium relationship between the response variables and the covariates more comprehensively, and the research on Panel Cointegration is expanded theoretically. Research methods and research perspectives, in practice, provide technical support and strong basis for quantitative analysis and decision-making of economic management issues.
Aiming at the cross-section dependence between panel data, a class of co-integration model considering the assumption of cross-section dependence is proposed by using the cross-section dependence characteristics of dynamic common factor structural panel data and Bayesian decision theory. The asymmetric Laplace distribution is expressed as exponential by Bayesian quantile regression method. The linear combination of distribution and normal distribution obtains the analytical expression of conditional quantile function posterior estimator, and designs Kalman filter and Gibbs sampling algorithm to estimate and test the model parameters. At the same time, Monte Carlo simulation results show that Bayesian quantile co-integration can be more comprehensive to the co-integration relationship between variables. Make a judgement.
Economic and financial variables often exhibit structural catastrophe because of war, government policies and natural disasters. The occurrence of such structural changes will affect the judgment of traditional linear cointegration test. In the co-integration model, the Fourier series expansion is used to characterize the variable structure features, and the cross-section dependence of panel data is eliminated by removing the cross-section mean, so as to avoid the problem of too many parameters. The simulation results show that Bayesian fractional variable structure co-integration can effectively and comprehensively describe the long-term relationship of the variable structure at each fractional level.
Unlike variable structure co-integration, threshold co-integration mainly studies the case when the co-integration regression model is linear and the error correction term is asymmetric. In this paper, a Bayesian thresholding co-integration model for panel data is proposed. The potential dependence between panel data is eliminated by removing the cross-sectional mean, and the prior distribution of parameters is analyzed to select the appropriate prior parameters. The parameters of the model are estimated by Bayesian quantile regression method. At the same time, the MCMC algorithm is used to estimate the parameters of the co-integration model, and the posterior probability of the co-integration test is calculated to conduct a more comprehensive threshold co-integration test.
The Bayesian fractional cointegration method considering the cross-sectional dependence of panel data is applied to the study of the relationship between crude oil and stock market. Compared with the traditional panel cointegration method, it is found that the Bayesian fractional cointegration method is more comprehensive in describing the linkage relationship between crude oil and stock market, which verifies the Bayesian fractional cointegration. The feasibility and validity of the whole method show that Bayesian grading method can provide all-round and convenient information of model parameter estimation and co-integration test.
【學(xué)位授予單位】:湖南大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2012
【分類(lèi)號(hào)】:F831.51;F416.22;F224
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