Title:
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Copula approach to residuals of regime-switching models (English) |
Author:
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Petričková, Anna |
Author:
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Komorníková, Magda |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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48 |
Issue:
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3 |
Year:
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2012 |
Pages:
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550-566 |
Summary lang:
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English |
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Category:
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math |
. |
Summary:
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The autocorrelation function describing the linear dependence is not suitable for description of residual dependence of the regime-switching models. In this contribution, inspired by Rakonczai ([20]), we will model the residual dependence of the regime-switching models (SETAR, LSTAR and ESTAR) with the autocopulas (Archimedean, EV and their convex combinations) and construct improved quality models for the original real time series. (English) |
Keyword:
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autocopula |
Keyword:
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time series |
Keyword:
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residuals |
Keyword:
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regime-switching models |
MSC:
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62A10 |
MSC:
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93E12 |
idMR:
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MR2975806 |
. |
Date available:
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2012-08-31T16:03:46Z |
Last updated:
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2013-09-24 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/142956 |
. |
Reference:
|
[1] Akintug, B., Rasmussen, P. F.: A Markov switching model for annual hydrologic time series.Water Resour. Res. 41 (2005). 10.1029/2004WR003605 |
Reference:
|
[2] Arlt, J., Arltová, M.: Finanční časové rady.Grada Publishing a. s., Praha 2003. |
Reference:
|
[3] Brock, W. A., Dechert, W. D., Scheinkman, J. A., Le Baron, B.: A test for independence based on the correlation dimension.Econometr. Rev. 15 (1996), 197–235. Zbl 0893.62034, MR 1410877, 10.1080/07474939608800353 |
Reference:
|
[4] Campbell, S. D.: Specification Testing and Semiparametric Estimation of Regime Switching Models: An Examination of the US Short Term Interest Rate.Department of Economics, Brown University, 2002. |
Reference:
|
[5] Dacco, R., Satchell, S.: Why do regime-switching models forecast so badly?.J. Forecast. 18 (1999), 1–16. 10.1002/(SICI)1099-131X(199901)18:1<1::AID-FOR685>3.0.CO;2-B |
Reference:
|
[6] Embrechts, P., Lindskog, F., McNail, A.: Modeling dependence with copulas and applications to risk management.In: Handbook of Heavy Tailed Distributions in Finance (S. Rachev, ed.), Elsevier 8 (2001), pp. 329–384. |
Reference:
|
[7] Enders, W., Pascalau, R.: Pretesting the Out-of-sample Forecasting Properties of STAR Models.http://www.faculty.plattsburgh.edu, 2010. |
Reference:
|
[8] Franses, P. H., Van Dijk, D.: Non-linear Time Series Models in Empirical Finance.Cambridge University Press, Cambridge 2000. |
Reference:
|
[9] Genest, C., Favre, A. C.: Everything you always wanted to know about copula modeling but were afraid to ask.J. Hydrolog. Engrg. (2007), 347–368. 10.1061/(ASCE)1084-0699(2007)12:4(347) |
Reference:
|
[10] Ghoudi, K., Khoudraji, A., Rivest, L. P.: Propriétés statistisques des copules de valeurs extremes bidimensionnelles.Canad. J. Statist. 26 (1998), 1, 187–197. MR 1624413, 10.2307/3315683 |
Reference:
|
[11] Granger, C. W. J., Teräsvirta, T.: Modelling Nonlinear Economic Relationships.Oxford University Press, Oxford 1993. Zbl 0893.90030 |
Reference:
|
[12] Grønneberg, S., Hjort, N. L.: The copula information criterion.In: Statistical Research Report 7, Dept. of Math. University of Oslo, 2008. |
Reference:
|
[13] Hamilton, J. D.: A new approach to the economic analysis of nonstationary time series subject to change in regime.Econometrica 57 (1989), 357–384. MR 0996941, 10.2307/1912559 |
Reference:
|
[14] Joe, H.: Models and Dependence Concepts.Chapman and Hall, London 1997. Zbl 0990.62517, MR 1462613 |
Reference:
|
[15] Komorník, J., Komorníková, M.: Copula approach to residuals of Markov-Switching models for economic time series.In: Proc. AGOP 2011, pp. 39–43. |
Reference:
|
[16] Montgomery, A., Zarnowitz, V., Tsay, R., Tiao, G.: Forecasting the U.S. unemployment rate.J. Amer. Statist. Assoc. 93 (1998), 478–493. Zbl 0918.62091, 10.1080/01621459.1998.10473696 |
Reference:
|
[17] Nelsen, R. B.: An introduction to copulas.In: Lecture Notes in Statistics 139, Springer-Verlag, New York 1999. Zbl 1152.62030, MR 1653203 |
Reference:
|
[18] Prokhorov, A.: A goodness-of-fit test for copulas.In: MPRA Paper 9998, 2008, online at http://mpra.ub.uni-muenchen.de/9998. |
Reference:
|
[19] Rakonczai, P.: On modeling and prediction of multivariate extremes with applications to enviromental data.In: Licentiate Theses in Mathematical Sciences (2009), pp. 83–109. |
Reference:
|
[20] Rakonczai, P., Márkus, L., Zempléni, A.: Autocopulas: Investigating the interdependence structure of stationary time series.Methodology Comput. Appl. Probab. 14 (2012), 1, 149–167. Zbl 1241.62126, MR 2875096, 10.1007/s11009-011-9230-2 |
Reference:
|
[21] Teräsvirta, T.: Specification, estimation, and evaluation of smooth transition autoregressive models.J. Amer. Statist. Assoc. 89 (1994), 208–218. |
Reference:
|
[22] Teräsvirta, T.: Forecasting economic variables with nonlinear models.In: Handbook of Economic Forecasting (G. Elliot, C. Granger, and A. Timmermann, eds.), Elsevier 8, Amsterdam 2006. |
Reference:
|
[23] White, H.: Maximum likelihood estimation of misspecified models.Econometrica 50 (1982), 1–26. Zbl 0518.62092, MR 0640163, 10.2307/1912526 |
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