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Volumn 37, Issue 6 B, 2009, Pages 4046-4087

Break detection in the covariance structure of multivariate time series models

Author keywords

Change points; Covariance; Functional central limit theorem; Multivariate GARCH models; Multivariate time series; Structural breaks

Indexed keywords


EID: 73949121215     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-AOS707     Document Type: Article
Times cited : (320)

References (51)
  • 1
    • 0036405104 scopus 로고    scopus 로고
    • Detecting multiple breaks in financial market volatility dynamics
    • ANDREOU, E. and GHYSELS, E. (2002). Detecting multiple breaks in financial market volatility dynamics. J. Appl. Econometrics 17 579-600.
    • (2002) J. Appl. Econometrics , vol.17 , pp. 579-600
    • ANDREOU, E.1    GHYSELS, E.2
  • 2
    • 0347599235 scopus 로고    scopus 로고
    • Tests for breaks in the conditional co-movements of asset returns
    • MR2026061
    • ANDREOU, E. and GHYSELS, E. (2003). Tests for breaks in the conditional co-movements of asset returns. Statist. Sinica 13 1045-1073. MR2026061
    • (2003) Statist. Sinica , vol.13 , pp. 1045-1073
    • ANDREOU, E.1    GHYSELS, E.2
  • 3
    • 0000115649 scopus 로고
    • Nonstrong mixing autoregressive processes
    • MR0766830
    • ANDREWS, D. W. K. (1984). Nonstrong mixing autoregressive processes. J. Appl. Probab. 21 930-934. MR0766830
    • (1984) J. Appl. Probab , vol.21 , pp. 930-934
    • ANDREWS, D.W.K.1
  • 4
    • 0001758906 scopus 로고
    • Heteroskedasticity and autocorrelation-consistent covariance matrix estimation
    • MR1106513
    • ANDREWS, D. W. K. (1991). Heteroskedasticity and autocorrelation-consistent covariance matrix estimation. Econometrica 59 817-858. MR1106513
    • (1991) Econometrica , vol.59 , pp. 817-858
    • ANDREWS, D.W.K.1
  • 5
    • 33750283431 scopus 로고    scopus 로고
    • Strong approximation for the sums of squares of augmented GARCH sequences
    • MR2248229
    • AUE, A., BERKES, I. and HORVÁTH, L. (2006). Strong approximation for the sums of squares of augmented GARCH sequences. Bernoulli 12 583-608. MR2248229
    • (2006) Bernoulli , vol.12 , pp. 583-608
    • AUE, A.1    BERKES, I.2    HORVÁTH, L.3
  • 6
    • 0346906789 scopus 로고    scopus 로고
    • Estimating and testing linear models with multiple structural changes
    • MR1616121
    • BAI, J. and PERRON, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica 66 47-78. MR1616121
    • (1998) Econometrica , vol.66 , pp. 47-78
    • BAI, J.1    PERRON, P.2
  • 8
    • 53249127568 scopus 로고    scopus 로고
    • The functional central limit theorem for a family of GARCH observations with applications
    • MR2465114
    • BERKES, I., HÖRMANN, S. and HORVÁ TH, L. (2008). The functional central limit theorem for a family of GARCH observations with applications. Statist. Probab. Lett. 78 2725-2730. MR2465114
    • (2008) Statist. Probab. Lett , vol.78 , pp. 2725-2730
    • BERKES, I.1    HÖRMANN, S.2    HORVÁ3    TH, L.4
  • 9
    • 1842441339 scopus 로고    scopus 로고
    • GARCH processes: Structure and estimation
    • MR1997027
    • BERKES, I., HORVÁTH, L. and KOKOSZKA, P. (2003). GARCH processes: Structure and estimation. Bernoulli 9 201-227. MR1997027
    • (2003) Bernoulli , vol.9 , pp. 201-227
    • BERKES, I.1    HORVÁTH, L.2    KOKOSZKA, P.3
  • 10
    • 73949088226 scopus 로고    scopus 로고
    • BILLINGSLEY, P. (1968). Convergence of Probability Measu Res. Wiley, New York. MR0233396
    • BILLINGSLEY, P. (1968). Convergence of Probability Measu Res. Wiley, New York. MR0233396
  • 11
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroskedasticity
    • MR0853051
    • BOLLERSLEV, T. (1986). Generalized autoregressive conditional heteroskedasticity. J. Econometrics 31 307-327. MR0853051
    • (1986) J. Econometrics , vol.31 , pp. 307-327
    • BOLLERSLEV, T.1
  • 12
    • 0001023182 scopus 로고
    • Modeling the coherence in short-run nominal exchange rates: A multivariate generalized ARCH model
    • BOLLERSLEV, T. (1990). Modeling the coherence in short-run nominal exchange rates: A multivariate generalized ARCH model. Rev. Econom. Statist. 74 498-505.
    • (1990) Rev. Econom. Statist , vol.74 , pp. 498-505
    • BOLLERSLEV, T.1
  • 13
    • 73949157077 scopus 로고    scopus 로고
    • BOUGEROL, P. and PICARD, N. (1992). Strict stationarity of generalized autoregressive processes. Ann. Probab. 20 1714-1730. MR1188039
    • BOUGEROL, P. and PICARD, N. (1992). Strict stationarity of generalized autoregressive processes. Ann. Probab. 20 1714-1730. MR1188039
  • 14
    • 0001306015 scopus 로고
    • Stationarity of GARCH processes and of some nonnegative time series
    • MR1165646
    • BOUGEROL, P. and PICARD, N. (1992). Stationarity of GARCH processes and of some nonnegative time series. J. Econometrics 52 115-127. MR1165646
    • (1992) J. Econometrics , vol.52 , pp. 115-127
    • BOUGEROL, P.1    PICARD, N.2
  • 15
    • 0001103803 scopus 로고
    • n with stationary coefficients
    • MR0827336
    • n with stationary coefficients. Adv. in Appl. Probab. 18 211-220. MR0827336
    • (1986) Adv. in Appl. Probab , vol.18 , pp. 211-220
    • BRANDT, A.1
  • 16
    • 73949087924 scopus 로고    scopus 로고
    • BROCKWELL, P. J. and DAVIS, R. A. (1991). Time Series: Theory and Methods, 2nd ed. Springer, New York. MR1093459
    • BROCKWELL, P. J. and DAVIS, R. A. (1991). Time Series: Theory and Methods, 2nd ed. Springer, New York. MR1093459
  • 17
    • 0036003734 scopus 로고    scopus 로고
    • Mixing and moment properties of various GARCH and stochastic volatility models
    • MR1885348
    • CARRASCO, M. and CHEN, X. (2002). Mixing and moment properties of various GARCH and stochastic volatility models. Econometric Theory 18 17-39. MR1885348
    • (2002) Econometric Theory , vol.18 , pp. 17-39
    • CARRASCO, M.1    CHEN, X.2
  • 19
    • 73949131682 scopus 로고    scopus 로고
    • Davidson, J
    • Davidson, J.
  • 20
    • 73949119595 scopus 로고    scopus 로고
    • . Stochastic Limit Theory. Oxford Univ. Press, Oxford. MR1430804
    • (1994). Stochastic Limit Theory. Oxford Univ. Press, Oxford. MR1430804
  • 21
    • 49549085281 scopus 로고    scopus 로고
    • Break detection for a class of nonlinear time series models
    • MR2450899
    • DAVIS, R. A., LEE, T. C. M. and RODRIGUEZ- YAM, G. (2008). Break detection for a class of nonlinear time series models. J. Time Ser. Anal. 29 834-867. MR2450899
    • (2008) J. Time Ser. Anal , vol.29 , pp. 834-867
    • DAVIS, R.A.1    LEE, T.C.M.2    RODRIGUEZ- YAM, G.3
  • 22
    • 0032264526 scopus 로고    scopus 로고
    • The sample autocorrelations of heavy-tailed processes with applications to ARCH
    • MR1673289
    • DAVIS, R. A. and MIKOSCH, T. (1998). The sample autocorrelations of heavy-tailed processes with applications to ARCH. Ann. Statist. 26 2049-2080. MR1673289
    • (1998) Ann. Statist , vol.26 , pp. 2049-2080
    • DAVIS, R.A.1    MIKOSCH, T.2
  • 23
    • 0033474201 scopus 로고    scopus 로고
    • A new weak dependence condition and application to moment inequalities
    • MR1719345
    • DOUKHAN, P. and LOUHICHI, S. (1999). A new weak dependence condition and application to moment inequalities. Stochastic Process. Appl. 84 313-343. MR1719345
    • (1999) Stochastic Process. Appl , vol.84 , pp. 313-343
    • DOUKHAN, P.1    LOUHICHI, S.2
  • 24
    • 73949136081 scopus 로고    scopus 로고
    • ENGLE, R. F. (1982). Autoregressive conditional heteroskedasticity with estimates of the variance of U. K. inflation. Econometrica 50 987-1008. MR0666121
    • ENGLE, R. F. (1982). Autoregressive conditional heteroskedasticity with estimates of the variance of U. K. inflation. Econometrica 50 987-1008. MR0666121
  • 25
    • 45149140983 scopus 로고
    • Asset pricing with a factor ARCH covariance structure: Empirical estimates for treasury bills
    • ENGLE, R. F., NG, V. K. and ROTHSCHILD, M. (1990). Asset pricing with a factor ARCH covariance structure: Empirical estimates for treasury bills. J. Econometrics 45 213-238.
    • (1990) J. Econometrics , vol.45 , pp. 213-238
    • ENGLE, R.F.1    NG, V.K.2    ROTHSCHILD, M.3
  • 27
    • 0043104441 scopus 로고    scopus 로고
    • Estimators and tests for change in the variance
    • MR1406521
    • GOMBAY, E., HORVÁTH, L. and HUŠ KOVÁ, M. (1996). Estimators and tests for change in the variance. Statistics and Decisions 14 145-159. MR1406521
    • (1996) Statistics and Decisions , vol.14 , pp. 145-159
    • GOMBAY, E.1    HORVÁTH, L.2    HUŠ KOVÁ, M.3
  • 28
    • 0037273761 scopus 로고    scopus 로고
    • Inference in ARCH and GARCH models with heavy-tailed errors
    • MR1956860
    • HALL, P. and YAO, Q. (2003). Inference in ARCH and GARCH models with heavy-tailed errors. Econometrica 71 285-317. MR1956860
    • (2003) Econometrica , vol.71 , pp. 285-317
    • HALL, P.1    YAO, Q.2
  • 29
    • 17944381604 scopus 로고    scopus 로고
    • Fourth moment structure of the Garch (p, q) process
    • HE, C. and TERÄSVIRTA, T. (1999). Fourth moment structure of the Garch (p, q) process. Econometric Theory 15 824-846.
    • (1999) Econometric Theory , vol.15 , pp. 824-846
    • HE, C.1    TERÄSVIRTA, T.2
  • 30
    • 48049104157 scopus 로고    scopus 로고
    • Augmented GARCH sequences: Dependence structure and asymptotics
    • HöRMANN, S. (2008). Augmented GARCH sequences: Dependence structure and asymptotics. Bernoulli 14 543-561.
    • (2008) Bernoulli , vol.14 , pp. 543-561
    • HöRMANN, S.1
  • 31
    • 73949160581 scopus 로고    scopus 로고
    • HORN, R. A. and JOHNSON, C. R. (1991). Topics in Matrix Analysis. Cambridge Univ. Press, Cambridge. MR1091716
    • HORN, R. A. and JOHNSON, C. R. (1991). Topics in Matrix Analysis. Cambridge Univ. Press, Cambridge. MR1091716
  • 32
    • 0003153817 scopus 로고
    • Detecting shifts of parameter in gamma sequences with applications to stock price and air traffic flow analysis
    • HSU, D. A. (1979). Detecting shifts of parameter in gamma sequences with applications to stock price and air traffic flow analysis. J. Amer. Statist. As Soc. 74 31-40.
    • (1979) J. Amer. Statist. As Soc , vol.74 , pp. 31-40
    • HSU, D.A.1
  • 33
    • 0000636504 scopus 로고
    • Some limit theorems for stationary processes
    • MR0148125
    • IBRAGIMOV, I. A. (1962). Some limit theorems for stationary processes. Theory Probab. Appl. 7 349-382. MR0148125
    • (1962) Theory Probab. Appl , vol.7 , pp. 349-382
    • IBRAGIMOV, I.A.1
  • 34
    • 33749848531 scopus 로고
    • Use of cumulative sums of squares for retrospective detection of changes of variance
    • MR1294735
    • INCLÁN, C. and TIAO, G. C. (1994). Use of cumulative sums of squares for retrospective detection of changes of variance. J. Amer. Statist. As Soc. 89 913-923. MR1294735
    • (1994) J. Amer. Statist. As Soc , vol.89 , pp. 913-923
    • INCLÁN, C.1    TIAO, G.C.2
  • 35
    • 0032342382 scopus 로고    scopus 로고
    • Strong consistency of estimators for multivariate ARCH models
    • MR1613694
    • JEANTHEAU, T. (1998). Strong consistency of estimators for multivariate ARCH models. Econometric Theory 14 70-86. MR1613694
    • (1998) Econometric Theory , vol.14 , pp. 70-86
    • JEANTHEAU, T.1
  • 36
    • 33746257777 scopus 로고    scopus 로고
    • Matrix exponential GARCH
    • MR2328317
    • KAWAKATSU, H. (2006). Matrix exponential GARCH. J. Econometrics 134 95-128. MR2328317
    • (2006) J. Econometrics , vol.134 , pp. 95-128
    • KAWAKATSU, H.1
  • 37
    • 0001581140 scopus 로고
    • K-sample analogues of the Kolmogorov-Smirnov and Cramér-v. Mises tests
    • MR0102882
    • KIEFER, J. (1959). K-sample analogues of the Kolmogorov-Smirnov and Cramér-v. Mises tests. Ann. Math. Statist. 30 420-447. MR0102882
    • (1959) Ann. Math. Statist , vol.30 , pp. 420-447
    • KIEFER, J.1
  • 38
    • 0000661999 scopus 로고    scopus 로고
    • Change-point estimation in ARCH models
    • MR1762558
    • KOKOSZKA, P. and LEIPUS, R. (2000). Change-point estimation in ARCH models. Bernoulli 6 513-539. MR1762558
    • (2000) Bernoulli , vol.6 , pp. 513-539
    • KOKOSZKA, P.1    LEIPUS, R.2
  • 39
    • 33846041071 scopus 로고    scopus 로고
    • A multivariate generalized orthogonal factor GARCH model
    • MR2338871
    • LANNE, M. and SAIKKONEN, P. (2007). A multivariate generalized orthogonal factor GARCH model. J. Bus. Econom. Statist. 25 61-75. MR2338871
    • (2007) J. Bus. Econom. Statist , vol.25 , pp. 61-75
    • LANNE, M.1    SAIKKONEN, P.2
  • 41
    • 84940499148 scopus 로고    scopus 로고
    • MIKOSCH, T. (2003). Modeling dependence and tails of financial time series. In: Extreme Values in Finance, Telecommunications, and the Environment (B. Finkenstaedt and H. Rootzen, eds.) 185-286. Chapman & Hall, Boca Raton, FL.
    • MIKOSCH, T. (2003). Modeling dependence and tails of financial time series. In: Extreme Values in Finance, Telecommunications, and the Environment (B. Finkenstaedt and H. Rootzen, eds.) 185-286. Chapman & Hall, Boca Raton, FL.
  • 42
    • 33744810886 scopus 로고    scopus 로고
    • Stable limits of martingale transforms with application to the estimation of GARCH parameters
    • MR2275251
    • MIKOSCH, T. and STRAUMANN, D. (2006). Stable limits of martingale transforms with application to the estimation of GARCH parameters. Ann. Statist. 34 493-522. MR2275251
    • (2006) Ann. Statist , vol.34 , pp. 493-522
    • MIKOSCH, T.1    STRAUMANN, D.2
  • 43
    • 0000641348 scopus 로고
    • Conditional heteroskedasticity in asset returns: A new approach
    • MR1097532
    • NELSON, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica 59 347-370. MR1097532
    • (1991) Econometrica , vol.59 , pp. 347-370
    • NELSON, D.B.1
  • 44
    • 9944266131 scopus 로고    scopus 로고
    • Weak dependence: Models and applications to econometrics
    • MR2101950
    • NZE, P. A. and DOUKHAN, P. (2004). Weak dependence: Models and applications to econometrics. Econometric Theory 20 995-1045. MR2101950
    • (2004) Econometric Theory , vol.20 , pp. 995-1045
    • NZE, P.A.1    DOUKHAN, P.2
  • 45
    • 73949127754 scopus 로고    scopus 로고
    • PETROV, V. V. (1995). Limit Theorems of Probability Theory. Oxford Univ. Press, Oxford. MR1353441
    • PETROV, V. V. (1995). Limit Theorems of Probability Theory. Oxford Univ. Press, Oxford. MR1353441
  • 46
    • 73949096228 scopus 로고    scopus 로고
    • PÖTSCHER, B. M. and PRUCHA, I. R. (1997). Dynamic Nonlinear Econometric Models, Asymptotic Theory. Springer, New York. MR1468737
    • PÖTSCHER, B. M. and PRUCHA, I. R. (1997). Dynamic Nonlinear Econometric Models, Asymptotic Theory. Springer, New York. MR1468737
  • 47
    • 34547849519 scopus 로고    scopus 로고
    • SERBAN, M., BROCKWELL, A., LEHOCZKY, J. and SR i va s tava, S. (2007). Modelling the dynamic dependence structure in multivariate financial time series. J. Time Ser. Anal. 28 763-782. MR2395913
    • SERBAN, M., BROCKWELL, A., LEHOCZKY, J. and SR i va s tava, S. (2007). Modelling the dynamic dependence structure in multivariate financial time series. J. Time Ser. Anal. 28 763-782. MR2395913
  • 48
    • 70349270803 scopus 로고    scopus 로고
    • Multivariate GARCH models
    • T. G. Andersen, R. A. Davis, J.-P. Kreiss and T. Mikosch, eds, Springer, New York
    • SILVENNOINEN, A. and TERÄSVIRTA, T. (2008). Multivariate GARCH models. In: Handbook of Financial Time Series (T. G. Andersen, R. A. Davis, J.-P. Kreiss and T. Mikosch, eds.) 201-229. Springer, New York.
    • (2008) Handbook of Financial Time Series , pp. 201-229
    • SILVENNOINEN, A.1    TERÄSVIRTA, T.2
  • 49
    • 85100687359 scopus 로고    scopus 로고
    • TSAY, R. S. (2005). Analysis of Financial Time Series, 2nd ed. Wiley, New York. MR2162112
    • TSAY, R. S. (2005). Analysis of Financial Time Series, 2nd ed. Wiley, New York. MR2162112
  • 50
    • 33644796481 scopus 로고    scopus 로고
    • A full-factor multivariate GARCH model
    • MR2028238
    • VRONTOS, I. D., DELLAPORTAS, P. and POLITIS, D. N. (2003). A full-factor multivariate GARCH model. Econom. J. 6 312-334. MR2028238
    • (2003) Econom. J , vol.6 , pp. 312-334
    • VRONTOS, I.D.1    DELLAPORTAS, P.2    POLITIS, D.N.3
  • 51
    • 26444450641 scopus 로고    scopus 로고
    • Nonlinear system theory: Another look at dependence
    • MR2172215
    • WU, W. B. (2005). Nonlinear system theory: Another look at dependence. Proc. Natl. Acad. Sci. USA 102 14150-14154. MR2172215
    • (2005) Proc. Natl. Acad. Sci. USA , vol.102 , pp. 14150-14154
    • WU, W.B.1


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