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2015 | 7 | nr 2 | 91--110
Tytuł artykułu

Common Trends and Common Cycles - Bayesian Approach

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In 1993 Engle and Kozicki proposed the notion of common features of which one example is a serial correlation common feature. We say that stationary, non-innovation processes exhibit common serial correlation when there exists at least one linear combination of them which is an innovation. Later on in 1993 Vahid and Engle combined the notions of cointegration among I(1) processes with common serial correlation within their first differences. It is commonly known that cointegrated time series have vector error correction (VEC) representation. The existence of common serial correlation leads to an additional reduced rank restriction imposed on the VEC model's parameters. This type of restriction was later termed a strong form (SF) reduced rank structure, as opposed to a weak one introduced in 2006 by Hecq, Palm and Urbain. The main aim of the present paper is to construct the Bayesian vector error correction model with these additional strong form restrictions. The empirical validity of investigating both the short- and long-run co-movements between macroeconomic time series will be illustrated by the analysis of the price-wage nexus in the Polish economy. (original abstract)
Rocznik
Tom
7
Numer
Strony
91--110
Opis fizyczny
Twórcy
  • Cracow University of Economics, Poland
Bibliografia
  • [1] Abbas A.E., Bakir N.O., Klutke G-A., Sun Z. (2013), Effects of risk aversion on the value of information in two-action decision problems, Decision Analysis 10(3), 257-275.
  • [2] Athanasopoulos G., Guillén O.T. de Carvalho, Issler J.V., Vahid F. (2011), Model selection, estimation and forecasting in VAR models with short-run and long-run restrictions, Journal of Econometrics 164, 116-129.
  • [3] Byrne S. Girolami M. (2013), Geodesic Monte Carlo on embedded manifolds, Scandinavian Journal of Statistics 40, 825-845.
  • [4] Chikuse Y. (2002),Statistics on special manifolds, Lecture Notes in Statistics, vol. 174, Springer-Verlag, New York.
  • [5] De Wall D.J. (1979), On the normalizing constant for the Bingham-von Mises-Fisher matrix distribution, South African Statistical Journal 13, 103-112.
  • [6] Engle R.F., Kozicki S. (1993), Testing for common features, Journal of Business and Economic Statistics 11, 369-380.
  • [7] Ericsson N.R. (1993), Comment (to the paper Testing for common features by Engle and Kozicki), Journal of Business and Economic Statistics 11, 380-383.
  • [8] Hecq A., Palm F.C., Urbain J.P. (2006), Common cyclical features analysis in VAR models with cointegration, Journal of Econometrics 132, 117-141.
  • [9] Hoff P.D. (2009), Simulation of the Matrix Bingham-von Mises-Fisher Distribution, with applications to multivariate and relation data, Journal of Computational and Graphical Statistics 18, 438-456.
  • [10] James (1954), Normal multivariate analysis and the orthogonal group, Annals of Mathematical Statistics 25, 40-75.
  • [11] Juselius K. (2007),The Cointegrated VAR Model. Methodology and Applications, Oxford University Press, second edition
  • [12] Khatri C.G., Mardia K.V. (1977), The von Mises-Fisher matrix distribution in orientation statistics, Journal of the Royal Statistical Society, Series B, 39, 95-106.
  • [13] Koop G., León-González R., Strachan R. (2010), Efficient posterior simulation for cointegrated models with priors on the cointegration space, Econometric Reviews 29, 224-242.
  • [14] Strachan R., Inder (2004), Bayesian analysis of the error correction model, Journal of Econometrics 123, 307-0325.
  • [15] Villani M. (2005), Bayesian reference analysis of cointegration, Econometric Theory 21, 326-357.
  • [16] Vahid F., Engle R.F. (1993), Common trends and common cycles, Journal of Applied Econometrics 8, 341-360.
  • [17] Vahid F., Issler J.V. (2002), The importance of common cyclical features in VAR analysis: a Monte-Carlo study, Journal of Econometrics 109, 341-363.
  • [18] Verdinell I., Wasserman L. (1995), Computing Bayes factors using a generalization of the Savage-Dickey Density Ratio, Journal of the American Statistical Association 90, 614-618.
  • [19] Wróblewska J. (2011), Bayesian analysis of weak form reduced rank structure in VEC models, Central European Journal of Economic Modelling and Econometrics 3, 169-186.
  • [20] Wróblewska J. (2012), Bayesian analysis of weak form polynomial reduced rank structures in VEC models, Central European Journal of Economic Modelling and Econometrics 4, 253-267.
  • [21] Zellner A. (1971), An introduction to Bayesian inference in econometrics, J. Wiley, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.ekon-element-000171383869

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