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Volumn 153, Issue 1-2, 2012, Pages 233-268

Graphical modelling of multivariate time series

Author keywords

Global Markov property; Granger causality; Graphical models; Multivariate time series

Indexed keywords


EID: 84861778291     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-011-0345-8     Document Type: Article
Times cited : (165)

References (53)
  • 1
    • 0007360887 scopus 로고
    • Dynamic modeling and causality
    • Aalen, O. O.: Dynamic modeling and causality. Scand. Actuar. J. 177-190 (1987).
    • (1987) Scand. Actuar. J , pp. 177-190
    • Aalen, O.O.1
  • 3
    • 33747261602 scopus 로고    scopus 로고
    • Adaptive parameter estimation in multivariate self-exciting threshold autoregressive models
    • Arnold M., Günther R.: Adaptive parameter estimation in multivariate self-exciting threshold autoregressive models. Commun. Stat. Simul. Comput. 30, 257-275 (2001).
    • (2001) Commun. Stat. Simul. Comput. , vol.30 , pp. 257-275
    • Arnold, M.1    Günther, R.2
  • 5
    • 0035377249 scopus 로고    scopus 로고
    • Partial directed coherence: a new concept in neural structure determination
    • Baccalá L. A., Sameshima K.: Partial directed coherence: a new concept in neural structure determination. Biol. Cybern. 84, 463-474 (2001).
    • (2001) Biol. Cybern. , vol.84 , pp. 463-474
    • Baccalá, L.A.1    Sameshima, K.2
  • 6
    • 0001023182 scopus 로고
    • Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH approach
    • Bollerslev T.: Modelling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH approach. Rev. Econ. Stat. 72, 498-505 (1990).
    • (1990) Rev. Econ. Stat. , vol.72 , pp. 498-505
    • Bollerslev, T.1
  • 8
    • 0023686914 scopus 로고
    • Maximum likelihood analysis of spike trains of interacting nerve cells
    • Brillinger D. R.: Maximum likelihood analysis of spike trains of interacting nerve cells. Biol. Cybern. 59, 189-200 (1988).
    • (1988) Biol. Cybern. , vol.59 , pp. 189-200
    • Brillinger, D.R.1
  • 9
    • 0023926904 scopus 로고
    • The maximum likelihood approach to the identification of neuronal firing systems
    • Brillinger D. R.: The maximum likelihood approach to the identification of neuronal firing systems. Ann. Biomed. Eng. 16, 3-16 (1988).
    • (1988) Ann. Biomed. Eng. , vol.16 , pp. 3-16
    • Brillinger, D.R.1
  • 10
    • 0001926010 scopus 로고    scopus 로고
    • Remarks concerning graphical models for time series and point processes
    • Brillinger D. R.: Remarks concerning graphical models for time series and point processes. Revista de Econometria 16, 1-23 (1996).
    • (1996) Revista De Econometria , vol.16 , pp. 1-23
    • Brillinger, D.R.1
  • 11
    • 0036003734 scopus 로고    scopus 로고
    • Mixing and moment properties of various GARCH and stochastic volatitlity models
    • Carrasco M., Chen X.: Mixing and moment properties of various GARCH and stochastic volatitlity models. Econ. Theory 18, 17-39 (2002).
    • (2002) Econ. Theory , vol.18 , pp. 17-39
    • Carrasco, M.1    Chen, X.2
  • 12
    • 0010801703 scopus 로고
    • The general equivalence of Granger and Sims causality
    • Chamberlain G.: The general equivalence of Granger and Sims causality. Econometrica 50, 569-581 (1982).
    • (1982) Econometrica , vol.50 , pp. 569-581
    • Chamberlain, G.1
  • 14
    • 0034354940 scopus 로고    scopus 로고
    • Graphical interaction models for multivariate time series
    • Dahlhaus R.: Graphical interaction models for multivariate time series. Metrika 51, 157-172 (2000).
    • (2000) Metrika , vol.51 , pp. 157-172
    • Dahlhaus, R.1
  • 15
    • 3843140273 scopus 로고    scopus 로고
    • Causality and graphical models in time series analysis
    • P. Green, N. Hjort, and S. Richardson (Eds.), Oxford: University Press
    • Dahlhaus R., Eichler M.: Causality and graphical models in time series analysis. In: Green, P., Hjort, N., Richardson, S. (eds) Highly structured stochastic systems, pp. 115-137. University Press, Oxford (2003).
    • (2003) Highly Structured Stochastic Systems , pp. 115-137
    • Dahlhaus, R.1    Eichler, M.2
  • 16
    • 0002384709 scopus 로고
    • Conditional independence in statistical theory (with discussion)
    • Dawid A. P.: Conditional independence in statistical theory (with discussion). J. R. Stat. Soc. Ser. B 41, 1-31 (1979).
    • (1979) J. R. Stat. Soc. Ser. B , vol.41 , pp. 1-31
    • Dawid, A.P.1
  • 17
    • 0000508704 scopus 로고
    • Conditional independence for statistical operations
    • Dawid A. P.: Conditional independence for statistical operations. Ann. Stat. 8, 598-617 (1980).
    • (1980) Ann. Stat. , vol.8 , pp. 598-617
    • Dawid, A.P.1
  • 18
    • 33847373658 scopus 로고    scopus 로고
    • Graphical models for composable finite markov processes
    • Didelez V.: Graphical models for composable finite markov processes. Scand. J. Stat. 34, 169-185 (2007).
    • (2007) Scand. J. Stat. , vol.34 , pp. 169-185
    • Didelez, V.1
  • 19
    • 0003155075 scopus 로고
    • Mixing Properties and Examples
    • Springer, New York
    • Doukhan, P.: Mixing Properties and Examples. In: Lecture Notes in Statistics, vol. 85. Springer, New York (1994).
    • (1994) Lecture Notes in Statistics , vol.85
    • Doukhan, P.1
  • 20
    • 38949107955 scopus 로고    scopus 로고
    • Binary models for marginal independence
    • Drton M., Richardson T. S.: Binary models for marginal independence. J. R. Stat. Soc. Ser. B 70(2), 287-309 (2008).
    • (2008) J. R. Stat. Soc. Ser. B , vol.70 , Issue.2 , pp. 287-309
    • Drton, M.1    Richardson, T.S.2
  • 22
    • 25444446654 scopus 로고    scopus 로고
    • A graphical approach for evaluating effective connectivity in neural systems
    • Eichler M.: A graphical approach for evaluating effective connectivity in neural systems. Philos. Trans. R. Soc. B 360, 953-967 (2005).
    • (2005) Philos. Trans. R. Soc. B , vol.360 , pp. 953-967
    • Eichler, M.1
  • 23
    • 44949096463 scopus 로고    scopus 로고
    • Graphical modelling of dynamic relationships in multivariate time series
    • In: Winterhalder, M., Schelter, B., Timmer, J. (eds.), Wiley-VCH, London
    • Eichler, M.: Graphical modelling of dynamic relationships in multivariate time series In: Winterhalder, M., Schelter, B., Timmer, J. (eds.) Handbook of Time Series Analysis, pp. 335-372. Wiley-VCH, London (2006).
    • (2006) Handbook of Time Series Analysis , pp. 335-372
    • Eichler, M.1
  • 24
    • 33847242530 scopus 로고    scopus 로고
    • Granger causality and path diagrams for multivariate time series
    • Eichler M.: Granger causality and path diagrams for multivariate time series. J. Econ. 137, 334-353 (2007).
    • (2007) J. Econ. , vol.137 , pp. 334-353
    • Eichler, M.1
  • 25
    • 77951094136 scopus 로고    scopus 로고
    • Causal inference from multivariate time series: What can be learned from granger causality
    • In: Glymour, C., Wang, W., Westerståhl, D. (eds.), College Publications, London
    • Eichler, M.: Causal inference from multivariate time series: What can be learned from granger causality. In: Glymour, C., Wang, W., Westerståhl, D. (eds.) Proceedings from the 13th International Congress of Logic, Methodology and Philosophy of Science, College Publications, London (2009).
    • (2009) Proceedings from the 13th International Congress of Logic, Methodology and Philosophy of Science
    • Eichler, M.1
  • 27
    • 84974122247 scopus 로고
    • Multivariate simultaneous GARCH
    • Engle R. F., Kroner K. F.: Multivariate simultaneous GARCH. Econ. Theory 11, 122-150 (1995).
    • (1995) Econ. Theory , vol.11 , pp. 122-150
    • Engle, R.F.1    Kroner, K.F.2
  • 29
  • 31
    • 0001546180 scopus 로고
    • The chain graph Markov property
    • Frydenberg M.: The chain graph Markov property. Scand. J. Stat. 17, 333-353 (1990).
    • (1990) Scand. J. Stat. , vol.17 , pp. 333-353
    • Frydenberg, M.1
  • 33
    • 27844549943 scopus 로고
    • Qualitative threshold ARCH models
    • Gouriéroux C., Monfort A.: Qualitative threshold ARCH models. J. Econ. 52, 159-199 (1992).
    • (1992) J. Econ. , vol.52 , pp. 159-199
    • Gouriéroux, C.1    Monfort, A.2
  • 34
    • 0000351727 scopus 로고
    • Investigating causal relations by econometric models and cross-spectral methods
    • Granger C. W. J.: Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37, 424-438 (1969).
    • (1969) Econometrica , vol.37 , pp. 424-438
    • Granger, C.W.J.1
  • 35
    • 0038275115 scopus 로고
    • Autoregressive modeling and causal ordering of econometric variables
    • Hsiao C.: Autoregressive modeling and causal ordering of econometric variables. J. Econ. Dyn. Control 4, 243-259 (1982).
    • (1982) J. Econ. Dyn. Control , vol.4 , pp. 243-259
    • Hsiao, C.1
  • 36
    • 0033244552 scopus 로고    scopus 로고
    • On the validity of the Markov interpretation of path diagrams of Gaussian structural equations systems with correlated errors
    • Koster J. T. A.: On the validity of the Markov interpretation of path diagrams of Gaussian structural equations systems with correlated errors. Scand. J. Stat. 26, 413-431 (1999).
    • (1999) Scand. J. Stat. , vol.26 , pp. 413-431
    • Koster, J.T.A.1
  • 37
    • 3543026188 scopus 로고    scopus 로고
    • Marginalizing and conditioning in graphical models
    • Koster J. T. A.: Marginalizing and conditioning in graphical models. Bernoulli 8, 817-840 (2002).
    • (2002) Bernoulli , vol.8 , pp. 817-840
    • Koster, J.T.A.1
  • 40
    • 0035528164 scopus 로고    scopus 로고
    • Separation and completeness properties for AMP chain graph Markov models
    • Levitz M., Perlman M. D., Madigan D.: Separation and completeness properties for AMP chain graph Markov models. Ann. Stat. 29, 1751-1784 (2001).
    • (2001) Ann. Stat. , vol.29 , pp. 1751-1784
    • Levitz, M.1    Perlman, M.D.2    Madigan, D.3
  • 41
    • 24344475712 scopus 로고    scopus 로고
    • Towards a unified approach for proving geometric ergodicity and mixing properties of nonlinear autoregressive processes
    • Liebscher E.: Towards a unified approach for proving geometric ergodicity and mixing properties of nonlinear autoregressive processes. J. Time Ser. Anal. 26, 669-689 (2005).
    • (2005) J. Time Ser. Anal. , vol.26 , pp. 669-689
    • Liebscher, E.1
  • 42
    • 0041364641 scopus 로고    scopus 로고
    • 1 geometric ergodicity of a multivariate nonlinear AR model with an ARCH term
    • 1 geometric ergodicity of a multivariate nonlinear AR model with an ARCH term. Stat. Probab. Lett. 51, 121-130 (2001).
    • (2001) Stat. Probab. Lett. , vol.51 , pp. 121-130
    • Lu, Z.1    Jiang, Z.2
  • 45
    • 44649108316 scopus 로고    scopus 로고
    • Finding directed acyclic graphs for vector autoregressions
    • J. Antoch (Ed.), Heidelberg: Physica-Verlag
    • Oxley L., Reale M., Tunnicliffe Wilson G.: Finding directed acyclic graphs for vector autoregressions. In: Antoch, J. (eds) Proceedings in Computational Statistics 2004, pp. 1621-1628. Physica-Verlag, Heidelberg (2004).
    • (2004) Proceedings in Computational Statistics 2004 , pp. 1621-1628
    • Oxley, L.1    Reale, M.2    Tunnicliffe Wilson, G.3
  • 47
    • 0002885754 scopus 로고
    • Graphoids: a graph based logic for reasoning about relevancy relations
    • B. D. Boulay, D. Hogg, and L. Steel (Eds.), Amsterdam: North-Holland
    • Pearl J., Paz A.: Graphoids: a graph based logic for reasoning about relevancy relations. In: Boulay, B. D., Hogg, D., Steel, L. (eds) Advances of Artificial Intelligence-II, pp. 357-363. North-Holland, Amsterdam (1987).
    • (1987) Advances of Artificial Intelligence-II , pp. 357-363
    • Pearl, J.1    Paz, A.2
  • 48
    • 0345800447 scopus 로고    scopus 로고
    • Identification of vector AR models with recursive structural errors using conditional independence graphs
    • Reale M., Tunnicliffe Wilson G.: Identification of vector AR models with recursive structural errors using conditional independence graphs. Stat. Methods Appl. 10, 49-65 (2001).
    • (2001) Stat. Methods Appl. , vol.10 , pp. 49-65
    • Reale, M.1    Tunnicliffe Wilson, G.2
  • 51
    • 20744459144 scopus 로고    scopus 로고
    • Structural learning with time-varying components: tracking the cross-section of financial time series
    • Talih M., Hengartner N.: Structural learning with time-varying components: tracking the cross-section of financial time series. J. R. Stat. Soc. Ser. B 67, 321-341 (2005).
    • (2005) J. R. Stat. Soc. Ser. B , vol.67 , pp. 321-341
    • Talih, M.1    Hengartner, N.2


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