메뉴 건너뛰기




Volumn 87, Issue 4, 2000, Pages 805-821

Testing for nonlinearity with partially observed time series

Author keywords

Euler scheme; Irregularity sample data; Kalman filter; Lagrange multiplier test; Stochastic differential equation

Indexed keywords


EID: 24944431600     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/87.4.805     Document Type: Article
Times cited : (12)

References (35)
  • 3
    • 0039044701 scopus 로고
    • Threshold ARMA processes in continuous time
    • Ed. H. Tong River Edge, NJ: World Scientific
    • BROCKWELL, P. J. (1993). Threshold ARMA processes in continuous time. In Dimension Estimation and Models, Ed. H. Tong, pp. 170-90. River Edge, NJ: World Scientific.
    • (1993) Dimension Estimation and Models , pp. 170-190
    • Brockwell, P.J.1
  • 5
    • 0001326007 scopus 로고    scopus 로고
    • The current position of statistics: A personal view (with Discussion)
    • COX, D. R. (1997). The current position of statistics: a personal view (with Discussion). Int. Statist. Rev. 65, 261-90.
    • (1997) Int. Statist. Rev , vol.65 , pp. 261-290
    • Cox, D.R.1
  • 7
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm (with Discussion)
    • DEMPSTER, A. P., LAIRD, N. M. & RUBIN, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm (with Discussion). J. R. Statist. Soc. B 39, 1-38.
    • (1977) J. R. Statist. Soc. , vol.39 B , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 12
    • 0002939889 scopus 로고
    • A Tukey nonadditivity-type test for time series nonlinearity
    • KEENAN, D. M. (1985). A Tukey nonadditivity-type test for time series nonlinearity. Biometrika 72, 39-44.
    • (1985) Biometrika , vol.72 , pp. 39-44
    • Keenan, D.M.1
  • 16
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the EM algorithm
    • LOUIS, T. A. (1982). Finding the observed information matrix when using the EM algorithm. J. R. Statist. Soc. B 44, 226-33.
    • (1982) J. R. Statist. Soc. , vol.44 B , pp. 226-233
    • Louis, T.A.1
  • 19
    • 70350303608 scopus 로고
    • Non-linear time series models and dynamical systems
    • Ed. E. J. Hannan, P. R. Krishnaiah and M. M. Rao New York: Elsevier Science
    • OZAKI, T. (1985). Non-linear time series models and dynamical systems. In Handbook of Statistics, 5: Time Series in the Time Domain, Ed. E. J. Hannan, P. R. Krishnaiah and M. M. Rao, pp. 25-83. New York: Elsevier Science.
    • (1985) Handbook of Statistics, 5: Time Series in the Time Domain , pp. 25-83
    • Ozaki, T.1
  • 20
    • 0002913686 scopus 로고
    • A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach
    • OZAKI, T. (1992). A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: a local linearization approach. Statist. Sinica 2, 113-35.
    • (1992) Statist. Sinica , vol.2 , pp. 113-135
    • Ozaki, T.1
  • 21
    • 0001146404 scopus 로고
    • A portmanteau test for self-exciting threshold autoregressive-type nonlinearity in time series
    • PETRUCCELLI, J. D. & DAVIES, N. (1986). A portmanteau test for self-exciting threshold autoregressive-type nonlinearity in time series. Biometrika 73, 687-94.
    • (1986) Biometrika , vol.73 , pp. 687-694
    • Petruccelli, J.D.1    Davies, N.2
  • 23
    • 0032341232 scopus 로고    scopus 로고
    • Approximation of continuous time stochastic processes by a local linearisation method
    • SHOJI, I. (1998). Approximation of continuous time stochastic processes by a local linearisation method. Math. Comp. 67, 287-98.
    • (1998) Math. Comp. , vol.67 , pp. 287-298
    • Shoji, I.1
  • 24
    • 0001338266 scopus 로고    scopus 로고
    • Comparative study of estimation methods for continuous time stochastic processes
    • SHOJI, I. & OZAKI, T. (1997). Comparative study of estimation methods for continuous time stochastic processes. J. Time Ser. Anal. 18, 485-506.
    • (1997) J. Time Ser. Anal. , vol.18 , pp. 485-506
    • Shoji, I.1    Ozaki, T.2
  • 25
    • 0000852819 scopus 로고    scopus 로고
    • A statistical method of estimation and simulation for systems of stochastic differential equations
    • SHOJI, I. & OZAKI, T. (1998). A statistical method of estimation and simulation for systems of stochastic differential equations. Biometrika 85, 240-3.
    • (1998) Biometrika , vol.85 , pp. 240-243
    • Shoji, I.1    Ozaki, T.2
  • 26
    • 0000844245 scopus 로고
    • Uniform asymptotic normality of the maximum likelihood estimator
    • SWEETING, T. J. (1980). Uniform asymptotic normality of the maximum likelihood estimator. Ann. Statist. 8, 1375-81.
    • (1980) Ann. Statist. , vol.8 , pp. 1375-1381
    • Sweeting, T.J.1
  • 28
    • 0002392160 scopus 로고
    • A personal overview of non-linear time series analysis from a chaos perspective (with Discussion)
    • TONG, H. (1995). A personal overview of non-linear time series analysis from a chaos perspective (with Discussion). Scand J. Statist. 22, 399-445.
    • (1995) Scand J. Statist. , vol.22 , pp. 399-445
    • Tong, H.1
  • 29
    • 33746836088 scopus 로고
    • On tests for threshold type nonlinearity in irregularly spaced time series
    • TONG, H. & YEUNG, I. (1990). On tests for threshold type nonlinearity in irregularly spaced time series. J. Statist. Comp. Simul. 34, 177-94.
    • (1990) J. Statist. Comp. Simul. , vol.34 , pp. 177-194
    • Tong, H.1    Yeung, I.2
  • 30
    • 0008155417 scopus 로고
    • On tests for SETAR-type nonlinearity in partially observed time series
    • TONG, H. & YEUNG, I. (1991). On tests for SETAR-type nonlinearity in partially observed time series. Appl. Statist. 40, 43-62.
    • (1991) Appl. Statist. , vol.40 , pp. 43-62
    • Tong, H.1    Yeung, I.2
  • 31
    • 0034413735 scopus 로고    scopus 로고
    • A note on the covariance structure of a continuous-time ARMA process
    • TSAI, H. & CHAN, K. S. (2000). A note on the covariance structure of a continuous-time ARMA process. Statist. Sinica 10, 989-98.
    • (2000) Statist. Sinica , vol.10 , pp. 989-998
    • Tsai, H.1    Chan, K.S.2
  • 32
    • 0001146403 scopus 로고
    • Nonlinearity tests for time series
    • TSAY, R. S. (1986). Nonlinearity tests for time series. Biometrika 73, 461-6.
    • (1986) Biometrika , vol.73 , pp. 461-466
    • Tsay, R.S.1
  • 33
    • 84950428199 scopus 로고
    • Testing and modeling threshold autoregressive process
    • TSAY, R. S. (1989). Testing and modeling threshold autoregressive process. J. Am. Statist. Assoc. 84, 231-40.
    • (1989) J. Am. Statist. Assoc. , vol.84 , pp. 231-240
    • Tsay, R.S.1
  • 34
    • 0001332750 scopus 로고
    • Numerical computation of the matrix exponential with accuracy estimate
    • WARD, R. C. (1977). Numerical computation of the matrix exponential with accuracy estimate. SIAM J. Numer. Anal. 14, 600-10.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 600-610
    • Ward, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.