메뉴 건너뛰기




Volumn 146, Issue 1, 2008, Pages 146-161

Asymptotic and bootstrap tests for linearity in a TAR-GARCH(1,1) model with a unit root

Author keywords

Bootstrap; GARCH; Threshold autoregressive model; Two parameter Brownian motion; Unit root process

Indexed keywords

ASYMPTOTIC ANALYSIS; DISTRIBUTION FUNCTIONS; LAGRANGE MULTIPLIERS; LINEARIZATION; TAR;

EID: 52149110320     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeconom.2008.08.004     Document Type: Article
Times cited : (7)

References (37)
  • 1
    • 0000209591 scopus 로고
    • Optimal tests when a nuisance parameter is present only under the alternative
    • Andrews D.W.K., and Ploberger W. Optimal tests when a nuisance parameter is present only under the alternative. Econometrica 62 (1994) 1383-1414
    • (1994) Econometrica , vol.62 , pp. 1383-1414
    • Andrews, D.W.K.1    Ploberger, W.2
  • 2
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • Bickel P.J., and Freedman D. Some asymptotic theory for the bootstrap. Annals of Statistics 9 (1981) 1196-1217
    • (1981) Annals of Statistics , vol.9 , pp. 1196-1217
    • Bickel, P.J.1    Freedman, D.2
  • 3
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroscedasticity
    • Bollerslev T. Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics 31 (1986) 307-328
    • (1986) Journal of Econometrics , vol.31 , pp. 307-328
    • Bollerslev, T.1
  • 4
    • 70349218800 scopus 로고
    • Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances
    • Bollerslev T., and Wooldridge J.M. Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances. Econometric Reviews 11 (1992) 143-172
    • (1992) Econometric Reviews , vol.11 , pp. 143-172
    • Bollerslev, T.1    Wooldridge, J.M.2
  • 5
    • 52149091499 scopus 로고    scopus 로고
    • Boswijk, H.P., 2001. Testing for a unit root with near-integrated volatility. Universiteit van Amsterdam (unpublished manuscript)
    • Boswijk, H.P., 2001. Testing for a unit root with near-integrated volatility. Universiteit van Amsterdam (unpublished manuscript)
  • 6
    • 0000941038 scopus 로고    scopus 로고
    • Threshold autoregressions with a unit root
    • Caner M., and Hansen B.E. Threshold autoregressions with a unit root. Econometrica 69 (2001) 1555-1596
    • (2001) Econometrica , vol.69 , pp. 1555-1596
    • Caner, M.1    Hansen, B.E.2
  • 7
    • 0036003734 scopus 로고    scopus 로고
    • Mixing and moment properties of various GARCH and stochastic volatility models
    • Carrasco M., and Chen X. Mixing and moment properties of various GARCH and stochastic volatility models. Econometric Theory 18 (2002) 17-39
    • (2002) Econometric Theory , vol.18 , pp. 17-39
    • Carrasco, M.1    Chen, X.2
  • 8
    • 0001040447 scopus 로고
    • Testing for threshold autoregression
    • Chan K.S. Testing for threshold autoregression. The Annals of Statistics 18 (1990) 1886-1894
    • (1990) The Annals of Statistics , vol.18 , pp. 1886-1894
    • Chan, K.S.1
  • 9
    • 0001006940 scopus 로고
    • Percentage points of likelihood ratio tests for threshold autoregression
    • Chan K.S. Percentage points of likelihood ratio tests for threshold autoregression. Journal of Royal Statistical Society B 53 (1991) 691-696
    • (1991) Journal of Royal Statistical Society B , vol.53 , pp. 691-696
    • Chan, K.S.1
  • 10
    • 0001666497 scopus 로고
    • On likelihood ratio tests for threshold autoregression
    • Chan K.S., and Tong H. On likelihood ratio tests for threshold autoregression. Journal of Royal Statistical Society B 52 (1990) 469-476
    • (1990) Journal of Royal Statistical Society B , vol.52 , pp. 469-476
    • Chan, K.S.1    Tong, H.2
  • 12
    • 24944532669 scopus 로고
    • Hypothesis testing when a nuisance parameter is present only under the alternative
    • Davies R.B. Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 74 (1987) 33-43
    • (1987) Biometrika , vol.74 , pp. 33-43
    • Davies, R.B.1
  • 13
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation
    • Engle R.F. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50 (1982) 987-1007
    • (1982) Econometrica , vol.50 , pp. 987-1007
    • Engle, R.F.1
  • 14
    • 33749368377 scopus 로고    scopus 로고
    • Mixing properties of a general class of GARCH(1,1) models without moment assumptions on the observed process
    • Francq C., and Zakoïan J.M. Mixing properties of a general class of GARCH(1,1) models without moment assumptions on the observed process. Econometric Theory 22 (2006) 815-834
    • (2006) Econometric Theory , vol.22 , pp. 815-834
    • Francq, C.1    Zakoïan, J.M.2
  • 15
    • 52149110237 scopus 로고    scopus 로고
    • Gonzalez, M., Gonzalo, J., 1998. Threshold unit root models. Universidad Carlos III de Madrid (unpublished manuscript)
    • Gonzalez, M., Gonzalo, J., 1998. Threshold unit root models. Universidad Carlos III de Madrid (unpublished manuscript)
  • 16
    • 27244447039 scopus 로고    scopus 로고
    • Testing for threshold nonlinearity in short-term interest rates
    • Gospodinov N. Testing for threshold nonlinearity in short-term interest rates. Journal of Financial Econometrics 3 (2005) 344-371
    • (2005) Journal of Financial Econometrics , vol.3 , pp. 344-371
    • Gospodinov, N.1
  • 18
    • 0030373966 scopus 로고    scopus 로고
    • Inference when a nuisance parameter is not identified under the null hypothesis
    • Hansen B.E. Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64 (1996) 413-430
    • (1996) Econometrica , vol.64 , pp. 413-430
    • Hansen, B.E.1
  • 22
    • 84990499552 scopus 로고
    • Some resampling procedures under symmetry
    • Jing B.Y. Some resampling procedures under symmetry. Australian Journal of Statistics 37 (1995) 337-344
    • (1995) Australian Journal of Statistics , vol.37 , pp. 337-344
    • Jing, B.Y.1
  • 23
    • 84974239969 scopus 로고
    • Asymptotic theory for the GARCH(1,1) quasi-maximum likelihood estimator
    • Lee S.W., and Hansen B.E. Asymptotic theory for the GARCH(1,1) quasi-maximum likelihood estimator. Econometric Theory 10 (1994) 29-52
    • (1994) Econometric Theory , vol.10 , pp. 29-52
    • Lee, S.W.1    Hansen, B.E.2
  • 24
    • 0032399852 scopus 로고    scopus 로고
    • Limiting distributions of maximum likelihood estimators for unstable autoregressive moving-average time series with general autoregressive heteroskedastic errors
    • Ling S., and Li W.K. Limiting distributions of maximum likelihood estimators for unstable autoregressive moving-average time series with general autoregressive heteroskedastic errors. Annals of Statistics 26 (1998) 84-125
    • (1998) Annals of Statistics , vol.26 , pp. 84-125
    • Ling, S.1    Li, W.K.2
  • 25
    • 0042532117 scopus 로고    scopus 로고
    • Asymptotic inference for unit root processes with GARCH (1,1) errors
    • Ling S., and Li W.K. Asymptotic inference for unit root processes with GARCH (1,1) errors. Econometric Theory 19 (2003) 541-564
    • (2003) Econometric Theory , vol.19 , pp. 541-564
    • Ling, S.1    Li, W.K.2
  • 26
    • 1542498407 scopus 로고    scopus 로고
    • Estimation and testing for unit root processes with GARCH (1,1) errors: Theory and Monte Carlo evidence
    • Ling S., Li W.K., and McAleer M. Estimation and testing for unit root processes with GARCH (1,1) errors: Theory and Monte Carlo evidence. Econometric Reviews 22 (2003) 179-202
    • (2003) Econometric Reviews , vol.22 , pp. 179-202
    • Ling, S.1    Li, W.K.2    McAleer, M.3
  • 27
    • 0030364024 scopus 로고    scopus 로고
    • Consistency and asymptotic normality of the quasi-maximum likelihood estimator in IGARCH(1,1) and covariance stationary GARCH(1,1) models
    • Lumsdaine R. Consistency and asymptotic normality of the quasi-maximum likelihood estimator in IGARCH(1,1) and covariance stationary GARCH(1,1) models. Econometrica 64 (1996) 575-596
    • (1996) Econometrica , vol.64 , pp. 575-596
    • Lumsdaine, R.1
  • 28
    • 0005832657 scopus 로고    scopus 로고
    • Bootstrapping forecast intervals in ARCH models
    • Miguel J.A., and Olave P. Bootstrapping forecast intervals in ARCH models. Test 8 (1999) 345-364
    • (1999) Test , vol.8 , pp. 345-364
    • Miguel, J.A.1    Olave, P.2
  • 29
    • 84972091517 scopus 로고
    • Stationarity and persistence in the GARCH (1,1,) model
    • Nelson D.B. Stationarity and persistence in the GARCH (1,1,) model. Econometric Theory 6 (1990) 318-334
    • (1990) Econometric Theory , vol.6 , pp. 318-334
    • Nelson, D.B.1
  • 30
    • 52149091275 scopus 로고    scopus 로고
    • Pascual, L., Romo, J., Ruiz, E., 2000. Forecasting returns and volatilities in GARCH process using the bootstrap. Working paper 00-68. Universidad Carlos III de Madrid
    • Pascual, L., Romo, J., Ruiz, E., 2000. Forecasting returns and volatilities in GARCH process using the bootstrap. Working paper 00-68. Universidad Carlos III de Madrid
  • 32
    • 84947392504 scopus 로고
    • Tests of the hypothesis that a linear regression obeys two separate regimes
    • Quandt R. Tests of the hypothesis that a linear regression obeys two separate regimes. Journal of the American Statistical Association 55 (1960) 324-330
    • (1960) Journal of the American Statistical Association , vol.55 , pp. 324-330
    • Quandt, R.1
  • 33
    • 0005837363 scopus 로고    scopus 로고
    • Distribution theory for unit root tests with conditional heteroskedasticity
    • Seo B. Distribution theory for unit root tests with conditional heteroskedasticity. Journal of Econometrics 91 (1999) 113-144
    • (1999) Journal of Econometrics , vol.91 , pp. 113-144
    • Seo, B.1
  • 36
    • 0000235574 scopus 로고    scopus 로고
    • Testing for threshold autoregression with conditional heteroskedasticity
    • Wong C.S., and Li W.K. Testing for threshold autoregression with conditional heteroskedasticity. Biometrika 84 (1997) 407-418
    • (1997) Biometrika , vol.84 , pp. 407-418
    • Wong, C.S.1    Li, W.K.2
  • 37
    • 0348237082 scopus 로고    scopus 로고
    • Testing for double threshold autoregressive conditional heteroscedastic model
    • Wong C.S., and Li W.K. Testing for double threshold autoregressive conditional heteroscedastic model. Statistica Sinica 10 (2000) 173-189
    • (2000) Statistica Sinica , vol.10 , pp. 173-189
    • Wong, C.S.1    Li, W.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.