메뉴 건너뛰기




Volumn 55, Issue 1, 2003, Pages 41-68

Consistent and asymptotically normal estimators for cyclically time-dependent linear models

Author keywords

Asymptotic normality; Consistency; Nonstationary processes; Quasi generalized least squares estimator; Time varying models

Indexed keywords

ASYMPTOTIC STABILITY; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION;

EID: 12444297522     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024674428698     Document Type: Article
Times cited : (24)

References (32)
  • 1
    • 84981407157 scopus 로고
    • Parameter estimation for periodic ARMA models
    • Adams, G. J. and Goodwin, G. C. (1995). Parameter estimation for periodic ARMA models, J. Time Ser. Anal., 16, 127-146.
    • (1995) J. Time Ser. Anal. , vol.16 , pp. 127-146
    • Adams, G.J.1    Goodwin, G.C.2
  • 2
    • 0034381604 scopus 로고    scopus 로고
    • An extension problem for discrete-time almost periodically correlated stochastic processes
    • Alpay, D., Freydin, B. and Loubaton, Ph. (2000). An extension problem for discrete-time almost periodically correlated stochastic processes, Linear Algebra Appl., 308, 163-181.
    • (2000) Linear Algebra Appl. , vol.308 , pp. 163-181
    • Alpay, D.1    Freydin, B.2    Loubaton, Ph.3
  • 3
    • 0038473214 scopus 로고    scopus 로고
    • An extension problem for discrete-time periodically correlated stochastic processes
    • Alpay, D., Chevreuil, A. and Loubaton, Ph. (2001). An extension problem for discrete-time periodically correlated stochastic processes, J. Time Ser. Anal., 22, 1-11.
    • (2001) J. Time Ser. Anal. , vol.22 , pp. 1-11
    • Alpay, D.1    Chevreuil, A.2    Loubaton, Ph.3
  • 4
    • 84981459104 scopus 로고
    • Asymptotic results for periodic autoregressive moving-average processes
    • Anderson, P. L. and Vecchia, A. V. (1983). Asymptotic results for periodic autoregressive moving-average processes, J. Time Ser. Anal., 14, 1-18.
    • (1983) J. Time Ser. Anal. , vol.14 , pp. 1-18
    • Anderson, P.L.1    Vecchia, A.V.2
  • 6
    • 0038134196 scopus 로고    scopus 로고
    • Large sample properties of parameter estimates for periodic ARMA models
    • Basawa, I. V. and Lund, R. B. (2001). Large sample properties of parameter estimates for periodic ARMA models, J. Time Ser. Anal., 22, 551-663.
    • (2001) J. Time Ser. Anal. , vol.22 , pp. 551-663
    • Basawa, I.V.1    Lund, R.B.2
  • 7
    • 84981434037 scopus 로고
    • On the invertibility of periodic moving-average models
    • Bentarzi, M. and Hallin, M. (1993). On the invertibility of periodic moving-average models, J. Time Ser. Anal., 15, 262-268.
    • (1993) J. Time Ser. Anal. , vol.15 , pp. 262-268
    • Bentarzi, M.1    Hallin, M.2
  • 10
    • 84947352928 scopus 로고
    • Applications of least squares regression to relationships containing autocorrelated error terms
    • Cochrane, D. and Orcutt, D. H. (1949). Applications of least squares regression to relationships containing autocorrelated error terms, J. Amer. Statist. Assoc., 44, 32-61.
    • (1949) J. Amer. Statist. Assoc. , vol.44 , pp. 32-61
    • Cochrane, D.1    Orcutt, D.H.2
  • 11
    • 0031518090 scopus 로고    scopus 로고
    • Fitting time series models to nonstationary processes
    • Dahlhaus, R. (1997). Fitting time series models to nonstationary processes, Ann. Statist., 25, 1-37.
    • (1997) Ann. Statist. , vol.25 , pp. 1-37
    • Dahlhaus, R.1
  • 12
    • 0012630442 scopus 로고    scopus 로고
    • On threshold moving-average models
    • de Gooijer, J. G. (1998). On threshold moving-average models, J. Time Ser. Anal., 19, 1-18.
    • (1998) J. Time Ser. Anal. , vol.19 , pp. 1-18
    • De Gooijer, J.G.1
  • 13
    • 0038134193 scopus 로고    scopus 로고
    • Random sampling estimation for almost periodically correlated processes
    • Dehay, D. and Monsan, V. (1996). Random sampling estimation for almost periodically correlated processes, J. Time Ser. Anal., 17, 425-445.
    • (1996) J. Time Ser. Anal. , vol.17 , pp. 425-445
    • Dehay, D.1    Monsan, V.2
  • 14
    • 85036258669 scopus 로고
    • Distribution of the estimators for autoregressive time series with a unit root
    • Dickey, D. A. and Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root, J. Amer. Statist. Assoc., 74, 427-431.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 427-431
    • Dickey, D.A.1    Fuller, W.A.2
  • 15
    • 0000402537 scopus 로고
    • Periodically and almost-periodically correlated random processes with continuous time parameter
    • Gladyshev, E. G. (1963). Periodically and almost-periodically correlated random processes with continuous time parameter, Theory Probab. Appl., 8, 173-177.
    • (1963) Theory Probab. Appl. , vol.8 , pp. 173-177
    • Gladyshev, E.G.1
  • 18
    • 0001437332 scopus 로고
    • Non-stationary q-dependent processes and time-varying moving-average models: Invertibility properties and the forecasting problem
    • Hallin, M. (1986). Non-stationary q-dependent processes and time-varying moving-average models: Invertibility properties and the forecasting problem, Adv. in Appl. Probab., 18, 170-210.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 170-210
    • Hallin, M.1
  • 19
    • 0003410290 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • Hamilton, J. D. (1994). Time Series Analysis, Princeton University Press, Princeton, New Jersey.
    • (1994) Time Series Analysis
    • Hamilton, J.D.1
  • 20
    • 12444315380 scopus 로고
    • On a characterization of optimal predictors for nonstationary ARMA processes
    • Kowalski, A. and Szynal, D. (1991). On a characterization of optimal predictors for nonstationary ARMA processes, Stochastic Process. Appl., 37, 71-80.
    • (1991) Stochastic Process. Appl. , vol.37 , pp. 71-80
    • Kowalski, A.1    Szynal, D.2
  • 21
    • 51249170795 scopus 로고
    • On an autoregressive model with time-dependent coefficients
    • Kwoun, G. H. and Yajima, Y. (1986). On an autoregressive model with time-dependent coefficients, Ann. Inst. Statist. Math., 38, 297-309.
    • (1986) Ann. Inst. Statist. Math. , vol.38 , pp. 297-309
    • Kwoun, G.H.1    Yajima, Y.2
  • 22
    • 0002518113 scopus 로고    scopus 로고
    • Recursive prediction and likelihood evaluation for periodic ARMA models
    • Lund, R. B. and Basawa, I. V. (2000). Recursive prediction and likelihood evaluation for periodic ARMA models, J. Time Ser. Anal., 21, 75-93.
    • (2000) J. Time Ser. Anal. , vol.21 , pp. 75-93
    • Lund, R.B.1    Basawa, I.V.2
  • 23
    • 0038134195 scopus 로고    scopus 로고
    • Parsimonious periodic time series modeling
    • Department of Statistics, University of Georgia
    • Lund, R. B., Basawa, I. V. and Shao, Q. (2001). Parsimonious periodic time series modeling, Tech. Report 2001-12, Department of Statistics, University of Georgia.
    • (2001) Tech. Report 2001-12
    • Lund, R.B.1    Basawa, I.V.2    Shao, Q.3
  • 24
    • 21344465822 scopus 로고    scopus 로고
    • Weak law of large numbers for almost periodically correlated processes
    • Makagon, A. and Miamee, A. G. (1996). Weak law of large numbers for almost periodically correlated processes, Proc. Amer. Math. Soc., 124, 1899-1902.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1899-1902
    • Makagon, A.1    Miamee, A.G.2
  • 25
    • 0001550082 scopus 로고
    • Evolutionary spectra and nonstationary processes
    • Priestley, M. B. (1965). Evolutionary spectra and nonstationary processes, J. Roy. Statist. Soc. Ser. B, 27, 204-237.
    • (1965) J. Roy. Statist. Soc. Ser. B , vol.27 , pp. 204-237
    • Priestley, M.B.1
  • 26
    • 38249037778 scopus 로고
    • A note on the properties of some nonstationary ARMA processes
    • Singh, N. and Peiris, M. S. (1987). A note on the properties of some nonstationary ARMA processes, Stochastic Process. Appl., 24, 151-155.
    • (1987) Stochastic Process. Appl. , vol.24 , pp. 151-155
    • Singh, N.1    Peiris, M.S.2
  • 27
    • 77956888888 scopus 로고
    • Hidden periodic autoregressive-moving average models in time series data
    • Tiao, G. C. and Grupe, M. R. (1980). Hidden periodic autoregressive-moving average models in time series data, Biometrica, 67, 365-373.
    • (1980) Biometrica , vol.67 , pp. 365-373
    • Tiao, G.C.1    Grupe, M.R.2
  • 28
    • 84986848963 scopus 로고
    • Least squares estimates and order determination procedures for autoregressive processes with a time dependent variance
    • Tjøstheim, D. and Paulsen, J. (1985). Least squares estimates and order determination procedures for autoregressive processes with a time dependent variance, J. Time Ser. Anal., 6, 117-133.
    • (1985) J. Time Ser. Anal. , vol.6 , pp. 117-133
    • Tjøstheim, D.1    Paulsen, J.2
  • 29
    • 84986870276 scopus 로고
    • Autoregressive processes with a time dependent variance
    • Tyssedal, J. S. and Tjøstheim, D. (1982). Autoregressive processes with a time dependent variance, J. Time Ser. Anal., 3, 209-217.
    • (1982) J. Time Ser. Anal. , vol.3 , pp. 209-217
    • Tyssedal, J.S.1    Tjøstheim, D.2
  • 30
    • 0022136566 scopus 로고
    • Periodic autoregressive-moving average (PARMA) modeling with applications to water resources
    • Vecchia, A. V. (1985). Periodic autoregressive-moving average (PARMA) modeling with applications to water resources, Water Resources Bulletin, 21, 721-730.
    • (1985) Water Resources Bulletin , vol.21 , pp. 721-730
    • Vecchia, A.V.1
  • 31
    • 0000398784 scopus 로고
    • The limiting distribution of serial correlation coefficient in the explosive case
    • White, S. J. (1958). The limiting distribution of serial correlation coefficient in the explosive case, Ann. Math. Statist, 29, 1188-1197.
    • (1958) Ann. Math. Statist , vol.29 , pp. 1188-1197
    • White, S.J.1
  • 32
    • 12444284376 scopus 로고
    • Recursive relations for predictors of nonstationary processes
    • Whittle, P. (1965). Recursive relations for predictors of nonstationary processes, J. Roy. Statist. Soc. Ser. B, 27, 523-532.
    • (1965) J. Roy. Statist. Soc. Ser. B , vol.27 , pp. 523-532
    • Whittle, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.