메뉴 건너뛰기




Volumn 33, Issue 6, 2005, Pages 2529-2552

Testing for a linear MA model against threshold MA models

Author keywords

Invertibility; Likelihood ratio test; MA model; Marked empirical process; Threshold MA model

Indexed keywords


EID: 33644918840     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053605000000598     Document Type: Article
Times cited : (54)

References (36)
  • 1
    • 0031575130 scopus 로고    scopus 로고
    • A note on the ergodicity of non-linear autoregressive model
    • MR1467442
    • AN, H. Z. and CHEN, S. G. (1997). A note on the ergodicity of non-linear autoregressive model. Statist. Probab. Lett. 34 365-372. MR1467442
    • (1997) Statist. Probab. Lett. , vol.34 , pp. 365-372
    • An, H.Z.1    Chen, S.G.2
  • 2
    • 0001390272 scopus 로고
    • A Kolmogorov-Smirnov type statistic with application to test for nonlinearity in time series
    • AN, H. Z. and CHENG, B. (1991). A Kolmogorov-Smirnov type statistic with application to test for nonlinearity in time series. Internat. Statist. Rev. 59 287-307.
    • (1991) Internat. Statist. Rev. , vol.59 , pp. 287-307
    • An, H.Z.1    Cheng, B.2
  • 3
    • 21444457053 scopus 로고    scopus 로고
    • The geometrical ergodicity of nonlinear autoregressive models
    • MR1422412
    • AN, H. Z. and HUANG, F. C. (1996). The geometrical ergodicity of nonlinear autoregressive models. Statist. Sinica 6 943-956. MR1422412
    • (1996) Statist. Sinica , vol.6 , pp. 943-956
    • An, H.Z.1    Huang, F.C.2
  • 4
    • 0001162133 scopus 로고
    • Tests for parameter instability and structural change with unknown change point
    • MR1231678
    • ANDREWS, D. W. K. (1993). Tests for parameter instability and structural change with unknown change point. Econometrica 61 821-856. MR1231678
    • (1993) Econometrica , vol.61 , pp. 821-856
    • Andrews, D.W.K.1
  • 6
    • 84981411556 scopus 로고
    • On the existence of stationary threshold autoregressive moving-average processes
    • MR1165659
    • BROCKWELL, P., Liu, J. and TWEEDIE, R. L. (1992). On the existence of stationary threshold autoregressive moving-average processes. J. Time Ser. Anal. 13 95-107. MR1165659
    • (1992) J. Time Ser. Anal. , vol.13 , pp. 95-107
    • Brockwell, P.1    Liu, J.2    Tweedie, R.L.3
  • 7
    • 0000941038 scopus 로고    scopus 로고
    • Threshold autoregression with a unit root
    • MR1865221
    • CANER, M. and HANSEN, B.E. (2001). Threshold autoregression with a unit root. Econometrica 69 1555-1596. MR1865221
    • (2001) Econometrica , vol.69 , pp. 1555-1596
    • Caner, M.1    Hansen, B.E.2
  • 8
    • 0001040447 scopus 로고
    • Testing for threshold autoregression
    • MR1074443
    • CHAN, K. S. (1990). Testing for threshold autoregression. Ann. Statist. 18 1886-1894. MR1074443
    • (1990) Ann. Statist. , vol.18 , pp. 1886-1894
    • Chan, K.S.1
  • 9
    • 0001006940 scopus 로고
    • Percentage points of likelihood ratio tests for threshold autoregression
    • MR1125726
    • CHAN, K. S. (1991). Percentage points of likelihood ratio tests for threshold autoregression. J. Roy. Statist. Soc. Ser. B 53 691-696. MR1125726
    • (1991) J. Roy. Statist. Soc. Ser. B , vol.53 , pp. 691-696
    • Chan, K.S.1
  • 10
    • 21144465257 scopus 로고
    • Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model
    • MR1212191
    • CHAN, K. S. (1993). Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model. Ann. Statist. 21 520-533. MR1212191
    • (1993) Ann. Statist. , vol.21 , pp. 520-533
    • Chan, K.S.1
  • 12
    • 0000773483 scopus 로고
    • On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations
    • MR0798881
    • CHAN, K. S. and TONG, H. (1985). On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations. Adv. in Appl. Probab. 17 666-678. MR0798881
    • (1985) Adv. in Appl. Probab. , vol.17 , pp. 666-678
    • Chan, K.S.1    Tong, H.2
  • 13
    • 0001666497 scopus 로고
    • On likelihood ratio tests for threshold autoregression
    • MR1086798
    • CHAN, K. S. and TONG, H. (1990). On likelihood ratio tests for threshold autoregression. J. Roy. Statist. Soc. Ser. B 52 469-476. MR1086798
    • (1990) J. Roy. Statist. Soc. Ser. B , vol.52 , pp. 469-476
    • Chan, K.S.1    Tong, H.2
  • 14
    • 0001138071 scopus 로고    scopus 로고
    • Limiting properties of the least squares estimator of a continuous threshold autoregressive model
    • MR1649122
    • CHAN, K. S. and TSAY, R. S. (1998). Limiting properties of the least squares estimator of a continuous threshold autoregressive model. Biometrika 85 413-426. MR1649122
    • (1998) Biometrika , vol.85 , pp. 413-426
    • Chan, K.S.1    Tsay, R.S.2
  • 15
    • 0013423787 scopus 로고
    • On the ergodicity of TAR(1) processes
    • MR1129777
    • CHEN, R. and TSAY, R. S. (1991). On the ergodicity of TAR(1) processes. Ann. Appl. Probab. 1613-634. MR1129777
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 613-634
    • Chen, R.1    Tsay, R.S.2
  • 16
    • 0012630442 scopus 로고    scopus 로고
    • On threshold moving-average models
    • MR1624163
    • DE GOOIJER, J. G. (1998). On threshold moving-average models. J. Time Ser. Anal. 19 1-18. MR1624163
    • (1998) J. Time Ser. Anal. , vol.19 , pp. 1-18
    • De Gooijer, J.G.1
  • 17
    • 0030373966 scopus 로고    scopus 로고
    • Inference when a nuisance parameter is not identified under the null hypothesis
    • MR1375740
    • HANSEN, B. E. (1996). Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64 413-430. MR1375740
    • (1996) Econometrica , vol.64 , pp. 413-430
    • Hansen, B.E.1
  • 18
    • 0001028687 scopus 로고    scopus 로고
    • Sample splitting and threshold estimation
    • MR1769379
    • HANSEN, B. E. (2000). Sample splitting and threshold estimation. Econometrica 68 575-603. MR1769379
    • (2000) Econometrica , vol.68 , pp. 575-603
    • Hansen, B.E.1
  • 19
    • 33644883387 scopus 로고    scopus 로고
    • Fitting a two phase linear regression model
    • MR1923333
    • KOUL, H. L. (2000). Fitting a two phase linear regression model. J. Indian Statist. Assoc. 38 331-353. MR1923333
    • (2000) J. Indian Statist. Assoc. , vol.38 , pp. 331-353
    • Koul, H.L.1
  • 20
    • 0037211063 scopus 로고    scopus 로고
    • Asymptotics of M-estimators in two-phase linear regression models
    • MR1947962
    • KOUL, H. L., QIAN, L. and SURGAILIS, D. (2003). Asymptotics of M-estimators in two-phase linear regression models. Stochastic Process. Appl. 103 123-154. MR1947962
    • (2003) Stochastic Process. Appl. , vol.103 , pp. 123-154
    • Koul, H.L.1    Qian, L.2    Surgailis, D.3
  • 21
    • 0000421758 scopus 로고    scopus 로고
    • Efficient estimation in nonlinear autoregressive time-series models
    • MR1468305
    • KOUL, H. L. and SCHICK, A. (1997). Efficient estimation in nonlinear autoregressive time-series models. Bernoulli 3 247-277. MR1468305
    • (1997) Bernoulli , vol.3 , pp. 247-277
    • Koul, H.L.1    Schick, A.2
  • 22
    • 0033243865 scopus 로고    scopus 로고
    • Nonparametric model checks for time series
    • MR1701108
    • KOUL, H. L. and STUTE, W. (1999). Nonparametric model checks for time series. Ann. Statist. 27 204-236. MR1701108
    • (1999) Ann. Statist. , vol.27 , pp. 204-236
    • Koul, H.L.1    Stute, W.2
  • 23
    • 0033236711 scopus 로고    scopus 로고
    • On the probabilistic properties of a double threshold ARMA conditional heteroskedastic model
    • MR1737046
    • LING, S. (1999). On the probabilistic properties of a double threshold ARMA conditional heteroskedastic model. J. Appl. Probab. 36 688-705. MR1737046
    • (1999) J. Appl. Probab. , vol.36 , pp. 688-705
    • Ling, S.1
  • 24
    • 33644921810 scopus 로고    scopus 로고
    • Weak convergence for marked empirical processes of stationary sequences and goodness-of-fit tests for time series models
    • Dept. Mathematics, Hong Kong Univ. Science and Technology
    • LING, S. (2003). Weak convergence for marked empirical processes of stationary sequences and goodness-of-fit tests for time series models. Working paper, Dept. Mathematics, Hong Kong Univ. Science and Technology.
    • (2003) Working Paper
    • Ling, S.1
  • 25
    • 0037847450 scopus 로고    scopus 로고
    • On adaptive estimation in nonstationary ARMA models with GARCH errors
    • MR1983545
    • LING, S. and MCALEER, M. (2003). On adaptive estimation in nonstationary ARMA models with GARCH errors. Ann. Statist. 31 642-676. MR1983545
    • (2003) Ann. Statist. , vol.31 , pp. 642-676
    • Ling, S.1    Mcaleer, M.2
  • 26
    • 0031571472 scopus 로고    scopus 로고
    • On a threshold autoregression with conditional heteroscedastic variances
    • MR1468167
    • LIU, J., LI, W. K. and LI, C. W. (1997). On a threshold autoregression with conditional heteroscedastic variances. J. Statist. Plann. Inference 62 279-300. MR1468167
    • (1997) J. Statist. Plann. Inference , vol.62 , pp. 279-300
    • Liu, J.1    Li, W.K.2    Li, C.W.3
  • 27
    • 0002334936 scopus 로고
    • On strict stationarity and ergodicity of a nonlinear ARMA model
    • MR1165221
    • LIU, J. and SUSKO, E. (1992). On strict stationarity and ergodicity of a nonlinear ARMA model. J. Appl. Probab. 29 363-373. MR1165221
    • (1992) J. Appl. Probab. , vol.29 , pp. 363-373
    • Liu, J.1    Susko, E.2
  • 28
    • 0009918339 scopus 로고    scopus 로고
    • On maximum likelihood estimators for a threshold autoregression
    • MR1671666
    • QIAN, L. (1998). On maximum likelihood estimators for a threshold autoregression. J. Statist. Plann. Inference 75 21-46. MR1671666
    • (1998) J. Statist. Plann. Inference , vol.75 , pp. 21-46
    • Qian, L.1
  • 29
    • 0031520116 scopus 로고    scopus 로고
    • Nonparametric model checks for regression
    • MR1439316
    • STUTE, W. (1997). Nonparametric model checks for regression. Ann. Statist. 25 613-641. MR1439316
    • (1997) Ann. Statist. , vol.25 , pp. 613-641
    • Stute, W.1
  • 30
    • 0002627237 scopus 로고
    • On a threshold model
    • (C. H. Chen, ed.). Sijthoff and Noordhoff, Amsterdam
    • TONG, H. (1978). On a threshold model. In Pattern Recognition and Signal Processing (C. H. Chen, ed.) 101-141. Sijthoff and Noordhoff, Amsterdam.
    • (1978) Pattern Recognition and Signal Processing , pp. 101-141
    • Tong, H.1
  • 32
    • 0000762810 scopus 로고
    • Conditional heteroscedastic time series models
    • MR0898364
    • TSAY, R. S. (1987). Conditional heteroscedastic time series models. J. Amer. Statist. Assoc. 82 590-604. MR0898364
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 590-604
    • Tsay, R.S.1
  • 33
    • 84950428199 scopus 로고
    • Testing and modeling threshold autoregressive processes
    • MR0999683
    • TSAY, R. S. (1989). Testing and modeling threshold autoregressive processes. J. Amer. Statist. Assoc. 84 231-240. MR0999683
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 231-240
    • Tsay, R.S.1
  • 34
    • 0032354661 scopus 로고    scopus 로고
    • Testing and modeling multivariate threshold models
    • MR1649212
    • TSAY, R. S. (1998). Testing and modeling multivariate threshold models. J. Amer. Statist. Assoc. 93 1188-1202. MR1649212
    • (1998) J. Amer. Statist. Assoc. , vol.93 , pp. 1188-1202
    • Tsay, R.S.1
  • 35
    • 0000235574 scopus 로고    scopus 로고
    • Testing for threshold autoregression with conditional heteroscedasticity
    • MR1467056
    • WONG, C. S. and LI, W. K. (1997). Testing for threshold autoregression with conditional heteroscedasticity. Biometrika 84 407-418. MR1467056
    • (1997) Biometrika , vol.84 , pp. 407-418
    • Wong, C.S.1    Li, W.K.2
  • 36
    • 0348237082 scopus 로고    scopus 로고
    • Testing for double threshold autoregressive conditional heteroscedastic model
    • MR1742107
    • WONG, C. S. and LI, W. K. (2000). Testing for double threshold autoregressive conditional heteroscedastic model. Statist. Sinica 10 173-189. MR1742107
    • (2000) Statist. Sinica , vol.10 , pp. 173-189
    • Wong, C.S.1    Li, W.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.