메뉴 건너뛰기




Volumn 91, Issue 436, 1996, Pages 1504-1515

Modeling Flat Stretches, Bursts Outliers in Time Series Using Mixture Transition Distribution Models

Author keywords

Autocorrelation; Autoregressive integrated moving average model; EM algorithm; Mixture transition distribution; Non Gaussian time series; Stationarity

Indexed keywords


EID: 0030327109     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476718     Document Type: Article
Times cited : (112)

References (51)
  • 3
    • 0000501656 scopus 로고
    • Information Theory and an Extension of the Maximum Likelihood Principle
    • B. N. Petrov and F. Csake, Hungary: Akademiai Kiado
    • Akaike, H. (1973), "Information Theory and an Extension of the Maximum Likelihood Principle," in The Second Intemational Symposium on Information Theory, eds. B. N. Petrov and F. Csake, Hungary: Akademiai Kiado, pp. 267-281.
    • (1973) The Second Intemational Symposium on Information Theory , pp. 267-281
    • Akaike, H.1
  • 4
    • 0015385037 scopus 로고
    • Nonlinear Bayesian Estimation Using Gaussian Sum Approximations
    • Alspach, D. L., and Sorenson, H. W. (1972), "Nonlinear Bayesian Estimation Using Gaussian Sum Approximations," IEEE Transactions on Automatic Control, 17,439-448.
    • (1972) IEEE Transactions on Automatic Control , vol.17 , pp. 439-448
    • Alspach, D.L.1    Sorenson, H.W.2
  • 5
    • 0001862769 scopus 로고
    • An Inequality and Associated Maximization Technique in Statistical Estimation for Probabilistic Functions of Markov Processes
    • Q. Shisha, New York: Academic Press
    • Baum, L. E. (1971), "An Inequality and Associated Maximization Technique in Statistical Estimation for Probabilistic Functions of Markov Processes," in Inequalities, Ill: Proceedings of a Symposium, ed. Q. Shisha, New York: Academic Press.
    • (1971) Inequalities, Ill: Proceedings of a Symposium
    • Baum, L.E.1
  • 6
    • 84968503299 scopus 로고
    • Existence of Finite Invariant Measures for Markov Processes
    • Benes, V. E. (1967), "Existence of Finite Invariant Measures for Markov Processes," Proceedings of the American Mathematical Society, 18, 1058-1061.
    • (1967) Proceedings of the American Mathematical Society , vol.18 , pp. 1058-1061
    • Benes, V.E.1
  • 10
    • 84950771789 scopus 로고
    • Estimating Optimal Transformations for Multiple Regression and Correlation
    • Breiman, L., and Friedman, J. H. (1985), "Estimating Optimal Transformations for Multiple Regression and Correlation," Journal ofthe American Statistical Association, 80, 58G-619.
    • (1985) Journal Ofthe American Statistical Association , vol.80 , pp. 588-619
    • Breiman, L.1    Friedman, J.H.2
  • 15
    • 0000959565 scopus 로고
    • First-Order Autoregressive Garnme Sequences and Point Processes
    • Gaver, D. P., and Lewis, P. A. W. (1980), "First-Order Autoregressive Garnme Sequences and Point Processes," Advanced Applications in Probability, 12,727-745.
    • (1980) Advanced Applications in Probability , vol.12 , pp. 727-745
    • Gaver, D.P.1    Lewis, P.A.W.2
  • 17
    • 0007740884 scopus 로고
    • On the Estimation of Small Frequencies in Contingency Tables
    • Good, I. J. (1956), "On the Estimation of Small Frequencies in Contingency Tables," Journal of the Royal Statistical Society, Ser. B, 18, 113-124.
    • (1956) Journal of the Royal Statistical Society, Ser. B , vol.18 , pp. 113-124
    • Good, I.J.1
  • 18
    • 84986792205 scopus 로고
    • An Introduction to LongMemory Time Series Models and Fractional Differening
    • Granger, C. W. J., and Joyeux, R. (1980), "An Introduction to LongMemory Time Series Models and Fractional Differening," Journal of' Time Series Analysis, 1, 15-29.
    • (1980) Journal Of' Time Series Analysis , vol.1 , pp. 15-29
    • Granger, C.W.J.1    Joyeux, R.2
  • 20
    • 0000996386 scopus 로고
    • Maximum Likelihood Estimation From Incomplete Data
    • Hartley, H. O. (1958), "Maximum Likelihood Estimation From Incomplete Data," Biometrics, 14, 174-194.
    • (1958) Biometrics , vol.14 , pp. 174-194
    • Hartley, H.O.1
  • 22
    • 77956890381 scopus 로고
    • Fractional Differencing
    • Hosking, J. R. M. (1981), "Fractional Differencing," Biometrika, 68, 165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.M.1
  • 23
    • 84950459387 scopus 로고
    • Non-Gaussian State-Space Modeling of Nonstationary Time Series
    • Kitagawa, G. (1987), "Non-Gaussian State-Space Modeling of Nonstationary Time Series," Journal of the American Statistical Association, 82, 1032-1041.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 1032-1041
    • Kitagawa, G.1
  • 25
    • 0000845522 scopus 로고
    • Modelling and Residual Analysis of Nonlinear Autoregressive Time Series in Exponential Variables
    • Lawrance, A. J., and Lewis, P. A. W. (1985), "Modelling and Residual Analysis of Nonlinear Autoregressive Time Series in Exponential Variables," Journal of the Royal Statistical Society, Ser. B, 47, 165-202.
    • (1985) Journal of the Royal Statistical Society, Ser. B , vol.47 , pp. 165-202
    • Lawrance, A.J.1    Lewis, P.A.W.2
  • 26
    • 0026533334 scopus 로고
    • Exact Likelihood Evaluation in a Markov Mixture Model for Time Series of Seizure Counts
    • Le, N. D., Leroux, B. L., and Puterman, M. L. (1992), "Exact Likelihood Evaluation in a Markov Mixture Model for Time Series of Seizure Counts," Biometrics, 48, 317-323.
    • (1992) Biometrics , vol.48 , pp. 317-323
    • Le, N.D.1    Leroux, B.L.2    Puterman, M.L.3
  • 27
    • 0020734214 scopus 로고
    • An Introduction to the Application of the Theory of Probabilistic Functions of a Markov Process to Automatic Speech Recognition
    • Levinson, S. E., Rabiner, L. R., and Sandhi, M. M. (1983), "An Introduction to the Application of the Theory of Probabilistic Functions of a Markov Process to Automatic Speech Recognition," The Bell System Technical Journal, 62, 1035-1074.
    • (1983) The Bell System Technical Journal , vol.62 , pp. 1035-1074
    • Levinson, S.E.1    Rabiner, L.R.2    Sandhi, M.M.3
  • 29
    • 0002131817 scopus 로고
    • Approximate Conditional-Mean-Type Smoothers and Interpolators
    • T. Gasser and M. Rosenblatt, Berlin: Springer
    • Martin, R. D. (1979), "Approximate Conditional-Mean-Type Smoothers and Interpolators," in Smoothing Techniques for Curve Estimation, eds. T. Gasser and M. Rosenblatt, Berlin: Springer, pp. 117-143.
    • (1979) Smoothing Techniques for Curve Estimation , pp. 117-143
    • Martin, R.D.1
  • 31
    • 70350324901 scopus 로고
    • Robustness in Time Series and Estimating ARMA Models
    • E. J. Hannan, P. R. Krishnaiah, and M. M. Rao, New York: Elsevier
    • Martin, R. D., and Yohai, V. J. (1985), "Robustness in Time Series and Estimating ARMA Models," in Handbook ofStatistics 5, eds. E. J. Hannan, P. R. Krishnaiah, and M. M. Rao, New York: Elsevier, pp. 119-155.
    • (1985) Handbook Ofstatistics 5 , pp. 119-155
    • Martin, R.D.1    Yohai, V.J.2
  • 32
    • 0001065197 scopus 로고
    • Influence Functionals for Time Series
    • Martin, R. D., and Yohai, V. J. (1986), "Influence Functionals for Time Series," The Annals of Statistics, 14,781-855.
    • (1986) The Annals of Statistics , vol.14 , pp. 781-855
    • Martin, R.D.1    Yohai, V.J.2
  • 33
    • 0040831467 scopus 로고
    • Analysis of Discrete Longitudinal Data: Infinite-Lag Markov Models
    • Y. Dodge, Amsterdam: Elsevier
    • Mehran, F. (1989), "Analysis of Discrete Longitudinal Data: Infinite-Lag Markov Models," in Statistical Data Analysis and Inference, ed. Y. Dodge, Amsterdam: Elsevier, pp. 533-541.
    • (1989) Statistical Data Analysis and Inference , pp. 533-541
    • Mehran, F.1
  • 34
    • 0000251971 scopus 로고
    • Maximum Likelihood Estimation via the ECM Algorithm: A General Framework
    • Meng, X. L., and Rubin, D. B. (1993), "Maximum Likelihood Estimation via the ECM Algorithm: A General Framework," Biometrika, 80, 267-278.
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.L.1    Rubin, D.B.2
  • 37
    • 0040236929 scopus 로고
    • A New Model for Discrete-Valued Time Series: Autocorrelations and Extensions
    • Raftery, A. E. (1985b), "A New Model for Discrete-Valued Time Series: Autocorrelations and Extensions," Rassegna di Metodi Statistici ed Applicazioni, 4, 149-162.
    • (1985) Rassegna Di Metodi Statistici Ed Applicazioni , vol.4 , pp. 149-162
    • Raftery, A.E.1
  • 38
    • 85011157510 scopus 로고
    • Discussion of "Modelling and Residual Analysis of Nonlinear Time Series in Exponential Variables,"
    • A. 1. Lawrance and P. A. W. Lewis (l985)
    • Raftery, A. E. (1985c), Discussion of "Modelling and Residual Analysis of Nonlinear Time Series in Exponential Variables," by A. 1. Lawrance and P. A. W. Lewis (l985), Journal of the Royal Statistical Society, Ser. B, 151547, 185-187.
    • (1985) Journal of the Royal Statistical Society, Ser. B , pp. 151547-152187
    • Raftery, A.E.1
  • 39
    • 0000152396 scopus 로고
    • Change Point and Change Curve Modeling in Stochastic Processes and Spatial Statistics
    • Raftery, A. E. (1994), "Change Point and Change Curve Modeling in Stochastic Processes and Spatial Statistics," Journal ofApplied Statistical Science, 1,403-424.
    • (1994) Journal Ofapplied Statistical Science , vol.1 , pp. 403-424
    • Raftery, A.E.1
  • 40
    • 21344497723 scopus 로고
    • Estimation and Modeling Repeated Patterns in the Mixture Transition Distribution (MTD) Model for HighOrder Markov Chains
    • Raftery, A. E., and Tavare, S. (1994), "Estimation and Modeling Repeated Patterns in the Mixture Transition Distribution (MTD) Model for HighOrder Markov Chains," Applied Statistics, 43, 179-199.
    • (1994) Applied Statistics , vol.43 , pp. 179-199
    • Raftery, A.E.1    Tavare, S.2
  • 41
    • 85011194189 scopus 로고
    • Estimating the Dimension of a Model
    • Schwarz, G. (1978), "Estimating the Dimension of a Model," The Annals of Statistics, 6, 461-464.
    • (1978) The Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 42
    • 0021001521 scopus 로고
    • Monitoring Renal Transplants: An Application of the Multiprocess Kalman Filter
    • Smith, A. F. M., and West, M. (1983), "Monitoring Renal Transplants: An Application of the Multiprocess Kalman Filter," Biometrics, 39, 867-878.
    • (1983) Biometrics , vol.39 , pp. 867-878
    • Smith, A.F.M.1    West, M.2
  • 46
    • 0028100105 scopus 로고
    • Analysis of Agricultural Field Trials in the Presence of Outliers and Fertility Jumps
    • Taplin, R., and Raftery, A. E. (1994), "Analysis of Agricultural Field Trials in the Presence of Outliers and Fertility Jumps," Biometrics, 50, 764-781.
    • (1994) Biometrics , vol.50 , pp. 764-781
    • Taplin, R.1    Raftery, A.E.2
  • 47
    • 0003566072 scopus 로고
    • New York: Oxford University Press
    • Tong, H. (1990), Non-Linear Time Series, New York: Oxford University Press.
    • (1990) Non-Linear Time Series
    • Tong, H.1
  • 48
    • 85011213801 scopus 로고
    • (with discussion), in Proceedings ofthe 45th Session ofthe International Statistical Institute, Amsterdam
    • Wellner, J. A. (1985), "Semiparametric Models: Progress and Problems" (with discussion), in Proceedings ofthe 45th Session ofthe International Statistical Institute, Amsterdam.
    • (1985) Semiparametric Models: Progress and Problems
    • Wellner, J.A.1
  • 50
    • 0000875082 scopus 로고
    • Changes of Variance in First-Order Autoregressive Time Series Models-With an Application
    • Wichern, D. W., Miller, R. B., and Hsu, D. (1976), "Changes of Variance in First-Order Autoregressive Time Series Models-With an Application," Applied Statistics, 25, 248-256.
    • (1976) Applied Statistics , vol.25 , pp. 248-256
    • Wichern, D.W.1    Miller, R.B.2    Hsu, D.3
  • 51
    • 0002210265 scopus 로고
    • On the Convergence Properties of the EM Algorithm
    • Wu, C. F. J. (1983), "On the Convergence Properties of the EM Algorithm," The Annals ofStatistics, 11, 95-103.
    • (1983) The Annals Ofstatistics , vol.11 , pp. 95-103
    • Wu, C.F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.