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Volumn 4, Issue , 2010, Pages 232-274

The arma alphabet soup: A tour of ARMA model variants

Author keywords

Autocovariance function; Counts; Long memory; Short memory; Stochastic volatility; Time series

Indexed keywords


EID: 84857427480     PISSN: None     EISSN: 19357516     Source Type: Journal    
DOI: 10.1214/09-SS060     Document Type: Review
Times cited : (44)

References (119)
  • 2
    • 0001089258 scopus 로고
    • An integer-valued pth-order autoregressive structure (INAR (p)) process
    • Alzaid, A. A. and Al-Osh, M. (1990). An integer-valued pth-order autoregressive structure (INAR (p)) process. Journal of Applied Probability 27 314-324.
    • (1990) Journal of Applied Probability , vol.27 , pp. 314-324
    • Alzaid, A.A.1    Al-Osh, M.2
  • 4
    • 0018345540 scopus 로고
    • An algorithm for the exact likelihood of a mixed autoregressive-moving average process
    • Ansley, C. F. (1979). An algorithm for the exact likelihood of a mixed autoregressive-moving average process. Biometrika 66 59-65.
    • (1979) Biometrika , vol.66 , pp. 59-65
    • Ansley, C.F.1
  • 5
    • 0038134196 scopus 로고    scopus 로고
    • Large sample properties of parameter estimates for periodic ARMA models
    • Basawa, I. V. and Lund, R. (2001). Large sample properties of parameter estimates for periodic ARMA models. Journal of Time Series Analysis 22 651-663.
    • (2001) Journal of Time Series Analysis , vol.22 , pp. 651-663
    • Basawa, I.V.1    Lund, R.2
  • 7
    • 0040673601 scopus 로고    scopus 로고
    • A note on calculating autocovariances of long-memory processes
    • Bertelli, S. and Caporin, M. (2002). A note on calculating autocovariances of long-memory processes. Journal of Time Series Analysis 23 503-508.
    • (2002) Journal of Time Series Analysis , vol.23 , pp. 503-508
    • Bertelli, S.1    Caporin, M.2
  • 8
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroskedasticity
    • Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics 31 307-327.
    • (1986) Journal of Econometrics , vol.31 , pp. 307-327
    • Bollerslev, T.1
  • 12
    • 0001523794 scopus 로고
    • Strict stationarity of generalized autoregressive processes
    • Bougerol, P. and Picard, N. (1992). Strict stationarity of generalized autoregressive processes. The Annals of Probability 20 1714-1730.
    • (1992) The Annals of Probability , vol.20 , pp. 1714-1730
    • Bougerol, P.1    Picard, N.2
  • 14
    • 0035731935 scopus 로고    scopus 로고
    • Least absolute deviation estimation for all-pass time series models
    • Breidt, F. J., Davis, R. A. and Trindade, A. A. (2001). Least absolute deviation estimation for all-pass time series models. Annals of Statistics 29 919-946.
    • (2001) Annals of Statistics , vol.29 , pp. 919-946
    • Breidt, F.J.1    Davis, R.A.2    Trindade, A.A.3
  • 16
    • 0013333372 scopus 로고    scopus 로고
    • Continuous-time ARMA processes
    • (D. N. Shanbhag and C. R. Rao, eds.). Hand-book of Statistics, Elsevier
    • Brockwell, P. J. (2001). Continuous-time ARMA processes. In Stochastic Processes: Theory and Methods, (D. N. Shanbhag and C. R. Rao, eds.). Hand-book of Statistics 19 249-276. Elsevier.
    • (2001) Stochastic Processes: Theory and Methods , vol.19 , pp. 249-276
    • Brockwell, P.J.1
  • 19
    • 20444479512 scopus 로고    scopus 로고
    • Lèvy-driven and fractionally integrated ARMA processes with continuous-time paramaters
    • Brockwell, P. J. and Marquardt, T. (2005). Lèvy-driven and fractionally integrated ARMA processes with continuous-time paramaters. Statistica Sinica 15 477-494.
    • (2005) Statistica Sinica , vol.15 , pp. 477-494
    • Brockwell, P.J.1    Marquardt, T.2
  • 20
    • 0001040447 scopus 로고
    • Testing for threshold autoregression
    • Chan, K. S. (1990). Testing for threshold autoregression. Annals of Statistics 18 1886-1894.
    • (1990) Annals of Statistics , vol.18 , pp. 1886-1894
    • Chan, K.S.1
  • 22
    • 0040585177 scopus 로고    scopus 로고
    • State space modeling of long-memory processes
    • Chan, N. H. and Palma, W. (1998). State space modeling of long-memory processes. Annals of Statistics 26 719-740.
    • (1998) Annals of Statistics , vol.26 , pp. 719-740
    • Chan, N.H.1    Palma, W.2
  • 23
    • 33645882527 scopus 로고    scopus 로고
    • Estimation of long-memory time series models: A survey of different likelihood-based methods
    • Chan, N. H. and Palma, W. (2006). Estimation of long-memory time series models: A survey of different likelihood-based methods. Advances in Econo-metrics 20 89-121.
    • (2006) Advances In Econo-metrics , vol.20 , pp. 89-121
    • Chan, N.H.1    Palma, W.2
  • 25
    • 33745671141 scopus 로고    scopus 로고
    • On the correlation matrix of the discrete Fourier transform and the fast solution of large Toeplitz systems for long-memory time series
    • Chen, W., Hurvich, C. M. and Lu, Y. (2006). On the correlation matrix of the discrete Fourier transform and the fast solution of large Toeplitz systems for long-memory time series. Journal of the American Statistical Association 101 812-822.
    • (2006) Journal of the American Statistical Association , vol.101 , pp. 812-822
    • Chen, W.1    Hurvich, C.M.2    Lu, Y.3
  • 26
  • 27
    • 33747789955 scopus 로고    scopus 로고
    • Analysis of high dimensional multivariate stochastic volatility models
    • Chib, S., Nardari, F. and Shephard, N. (2006). Analysis of high dimensional multivariate stochastic volatility models. Journal of Econometrics 134 341-371.
    • (2006) Journal of Econometrics , vol.134 , pp. 341-371
    • Chib, S.1    Nardari, F.2    Shephard, N.3
  • 29
    • 70350729736 scopus 로고    scopus 로고
    • A new look at time series of counts
    • Cui, Y. and Lund, R. (2009). A new look at time series of counts. Biometrika 96 781-792.
    • (2009) Biometrika , vol.96 , pp. 781-792
    • Cui, Y.1    Lund, R.2
  • 30
    • 0002790886 scopus 로고    scopus 로고
    • Modeling time series of count data
    • (S. Ghosh, ed.). Statistics Textbooks Monograph, Marcel Dekker, New York
    • Davis, R. A., Dunsmuir, W. T. M. and Wang, Y. (1999). Modeling time series of count data. In Asymptotics, Nonparametrics and Time Series, (S. Ghosh, ed.). Statistics Textbooks Monograph 63-113. Marcel Dekker, New York.
    • (1999) Asymptotics, Nonparametrics and Time Series , pp. 63-113
    • Davis, R.A.1    Dunsmuir, W.T.M.2    Wang, Y.3
  • 31
    • 3843066519 scopus 로고    scopus 로고
    • Observation-driven models for Poisson counts
    • Davis, R. A., Dunsmuir, W. and Streett, S. B. (2003). Observation-driven models for Poisson counts. Biometrika 90 777-790.
    • (2003) Biometrika , vol.90 , pp. 777-790
    • Davis, R.A.1    Dunsmuir, W.2    Streett, S.B.3
  • 32
    • 0030365344 scopus 로고    scopus 로고
    • Limit theory for bilinear processes with heavy-tailed noise
    • Davis, R. A. and Resnick, S. I. (1996). Limit theory for bilinear processes with heavy-tailed noise. The Annals of Applied Probability 6 1191-1210.
    • (1996) The Annals of Applied Probability , vol.6 , pp. 1191-1210
    • Davis, R.A.1    Resnick, S.I.2
  • 33
    • 33845537483 scopus 로고
    • Some properties of the parameterization of ARMA systems with unknown order
    • Deistler, M. and Hannan, E. J. (1981). Some properties of the parameterization of ARMA systems with unknown order. Journal of Multivariate Analysis 11 474-484.
    • (1981) Journal of Multivariate Analysis , vol.11 , pp. 474-484
    • Deistler, M.1    Hannan, E.J.2
  • 37
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation
    • Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50 987-1007.
    • (1982) Econometrica , vol.50 , pp. 987-1007
    • Engle, R.F.1
  • 39
    • 84963146757 scopus 로고
    • Modelling the persistence of conditional variances
    • Engle, R. F. and Bollerslev, T. (1986). Modelling the persistence of conditional variances. Econometric Reviews 5 1-50.
    • (1986) Econometric Reviews , vol.5 , pp. 1-50
    • Engle, R.F.1    Bollerslev, T.2
  • 41
    • 84986759400 scopus 로고
    • The estimation and application of long memory time series models
    • Geweke, J. and Porter-Hudak, S. (1983). The estimation and application of long memory time series models. Journal of Time Series Analysis 4 221-238.
    • (1983) Journal of Time Series Analysis , vol.4 , pp. 221-238
    • Geweke, J.1    Porter-Hudak, S.2
  • 42
    • 0000623599 scopus 로고
    • Periodically correlated random sequences
    • Gladyšhev, E. G. (1961). Periodically correlated random sequences. Soviet Math 2 385-388.
    • (1961) Soviet Math , vol.2 , pp. 385-388
    • Gladyšhev, E.G.1
  • 43
    • 84986791780 scopus 로고
    • Acronyms in time series analysis (ATSA)
    • Granger, C. W. J. (1982). Acronyms in time series analysis (ATSA). Journal of Time Series Analysis 3 103-107.
    • (1982) Journal of Time Series Analysis , vol.3 , pp. 103-107
    • Granger, C.W.J.1
  • 45
    • 84986792205 scopus 로고
    • An introduction to long-memory time series models and fractional differencing
    • Granger, C. W. J. and Joyeux, R. (1980). An introduction to long-memory time series models and fractional differencing. 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
  • 47
    • 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
  • 48
    • 0013668707 scopus 로고
    • A test for singularities in Sydney rainfall
    • Hannan, E. J. (1955). A test for singularities in Sydney rainfall. Australian Journal of Physics 8 289-297.
    • (1955) Australian Journal of Physics , vol.8 , pp. 289-297
    • Hannan, E.J.1
  • 49
    • 0000441754 scopus 로고
    • The identification of vector mixed autoregressive-moving average system
    • Hannan, E. J. (1969). The identification of vector mixed autoregressive-moving average system. Biometrika 56 223-225.
    • (1969) Biometrika , vol.56 , pp. 223-225
    • Hannan, E.J.1
  • 51
    • 0000086960 scopus 로고
    • The identification and parameterization of ARMAX and state space forms
    • Hannan, E. J. (1976). The identification and parameterization of ARMAX and state space forms. Econometrica 44 713-723.
    • (1976) Econometrica , vol.44 , pp. 713-723
    • Hannan, E.J.1
  • 52
    • 67649346046 scopus 로고
    • The Statistical Theory of Linear Systems
    • P. R. Krishnaiah, ed.), Academic Press, New York
    • Hannan, E. J. (1979). The Statistical Theory of Linear Systems. In Devel-opments in Statistics (P. R. Krishnaiah, ed.) 83-121. Academic Press, New York.
    • (1979) Devel-opments In Statistics , pp. 83-121
    • Hannan, E.J.1
  • 55
    • 0001917942 scopus 로고
    • Space-time modelling with longmemory dependence: Assessing Ireland's wind power resource
    • Haslett, J. and Raftery, A. E. (1989). Space-time modelling with longmemory dependence: Assessing Ireland's wind power resource. Applied Statistics 38 1-50.
    • (1989) Applied Statistics , vol.38 , pp. 1-50
    • Haslett, J.1    Raftery, A.E.2
  • 56
    • 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
  • 60
    • 84986772869 scopus 로고
    • Stationary discrete autoregressivemoving average time series generated by mixtures
    • Jacobs, P. A. and Lewis, P. A.W. (1983). Stationary discrete autoregressivemoving average time series generated by mixtures. Journal of Time Series Analysis 4 19-36.
    • (1983) Journal of Time Series Analysis , vol.4 , pp. 19-36
    • Jacobs, P.A.1    Lewis, P.A.W.2
  • 61
    • 0001353940 scopus 로고
    • Maximum likelihood fitting of ARMA models to time series with missing observations
    • Jones, R. H. (1980). Maximum likelihood fitting of ARMA models to time series with missing observations. Technometrics 22 389-395.
    • (1980) Technometrics , vol.22 , pp. 389-395
    • Jones, R.H.1
  • 62
    • 0014171912 scopus 로고
    • Time series with periodic structure
    • Jones, R. H. and Brelsford, W. M. (1967). Time series with periodic structure. Biometrika 54 403-408.
    • (1967) Biometrika , vol.54 , pp. 403-408
    • Jones, R.H.1    Brelsford, W.M.2
  • 64
    • 33750414528 scopus 로고    scopus 로고
    • Bayesian wavelet-based methods for the detection of multiple changes of the long memory parameter
    • Ko, K. and Vannucci, M. (2006). Bayesian wavelet-based methods for the detection of multiple changes of the long memory parameter. IEEE Transactions on Signal Processing 54 4461-4470.
    • (2006) IEEE Transactions On Signal Processing , vol.54 , pp. 4461-4470
    • Ko, K.1    Vannucci, M.2
  • 65
    • 0018697703 scopus 로고
    • Asymptotic estimation and hypothesis testing results for vector linear time series models
    • Kohn, R. (1979). Asymptotic estimation and hypothesis testing results for vector linear time series models. Econometrica 47 1005-1030.
    • (1979) Econometrica , vol.47 , pp. 1005-1030
    • Kohn, R.1
  • 67
    • 0030359440 scopus 로고    scopus 로고
    • Parameter estimation for infinite variance fractional ARIMA
    • Kokoszka, P. S. and Taqqu, M. S. (1996). Parameter estimation for infinite variance fractional ARIMA. Annals of Statistics 24 1880-1913.
    • (1996) Annals of Statistics , vol.24 , pp. 1880-1913
    • Kokoszka, P.S.1    Taqqu, M.S.2
  • 69
    • 21744436141 scopus 로고    scopus 로고
    • On fractionally integrated autoregressive moving-average time series models with conditional heteroscedasticity
    • Ling, S. and Li, W. K. (1997). On fractionally integrated autoregressive moving-average time series models with conditional heteroscedasticity. Journal of the American Statistical Association 92 1184-1194.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 1184-1194
    • Ling, S.1    Li, W.K.2
  • 71
    • 0002518113 scopus 로고    scopus 로고
    • Recursive prediction and likelihood evaluation for periodic ARMA models
    • Lund, R. and Basawa, I. V. (2000). Recursive prediction and likelihood evaluation for periodic ARMA models. Journal of Time Series Analysis 21 75-93.
    • (2000) Journal of Time Series Analysis , vol.21 , pp. 75-93
    • Lund, R.1    Basawa, I.V.2
  • 76
    • 0000429129 scopus 로고
    • On the statistical treatment of linear stochastic difference equations
    • Mann, H. B. and Wald, A. (1943). On the statistical treatment of linear stochastic difference equations. Econometrica 11 173-220.
    • (1943) Econometrica , vol.11 , pp. 173-220
    • Mann, H.B.1    Wald, A.2
  • 78
    • 0001179319 scopus 로고
    • Some ARMA models for dependent sequences of Poisson counts
    • McKenzie, E. (1988). Some ARMA models for dependent sequences of Poisson counts. Advances in Applied Probability 20 822-835.
    • (1988) Advances In Applied Probability , vol.20 , pp. 822-835
    • McKenzie, E.1
  • 79
    • 12144287086 scopus 로고    scopus 로고
    • Nonstationarities in financial time series, the long-range dependence, and the IGARCH effects
    • Mikosch, T. and Starica, C. (2004). Nonstationarities in financial time series, the long-range dependence, and the IGARCH effects. Review of Economics and Statistics 86 378-390.
    • (2004) Review of Economics and Statistics , vol.86 , pp. 378-390
    • Mikosch, T.1    Starica, C.2
  • 80
    • 0000641348 scopus 로고
    • Conditional heteroskedasticity in asset returns: A new approach
    • Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica 59 347-370.
    • (1991) Econometrica , vol.59 , pp. 347-370
    • Nelson, D.B.1
  • 82
    • 0034887305 scopus 로고    scopus 로고
    • A seasonal periodic long memory model for monthly river flows
    • Ooms, M. and Franses, P. H. (2001). A seasonal periodic long memory model for monthly river flows. Environmental Modelling & Software 16 559-569.
    • (2001) Environmental Modelling & Software , vol.16 , pp. 559-569
    • Ooms, M.1    Franses, P.H.2
  • 83
    • 0000056141 scopus 로고
    • On periodic and multiple autoregressions
    • Pagano, M. (1978). On periodic and multiple autoregressions. Annals of Statistics 6 1310-1317.
    • (1978) Annals of Statistics , vol.6 , pp. 1310-1317
    • Pagano, M.1
  • 84
    • 0345388980 scopus 로고    scopus 로고
    • Bayesian analysis of autoregressive fractionally integrated moving-average processes
    • Pai, J. S. and Ravishanker, N. (1998). Bayesian analysis of autoregressive fractionally integrated moving-average processes. Journal of Time Series Analysis 19 99-112.
    • (1998) Journal of Time Series Analysis , vol.19 , pp. 99-112
    • Pai, J.S.1    Ravishanker, N.2
  • 86
    • 27644546903 scopus 로고    scopus 로고
    • Efficient estimation of seasonal longrange-dependent processes
    • Palma, W. and Chan, N. H. (2005). Efficient estimation of seasonal longrange-dependent processes. Journal of Time Series Analysis 26 863-892.
    • (2005) Journal of Time Series Analysis , vol.26 , pp. 863-892
    • Palma, W.1    Chan, N.H.2
  • 87
    • 0018985164 scopus 로고
    • A three-stage iterative procedure for space-time modeling
    • Pfeifer, P. E. and Deutsch, S. J. (1980). A three-stage iterative procedure for space-time modeling. Technometrics 22 35-47.
    • (1980) Technometrics , vol.22 , pp. 35-47
    • Pfeifer, P.E.1    Deutsch, S.J.2
  • 91
    • 0011615403 scopus 로고    scopus 로고
    • Bayesian analysis of vector ARMA models using Gibbs sampling
    • Ravishanker, N. and Ray, B. K. (1997). Bayesian analysis of vector ARMA models using Gibbs sampling. Journal of Forecasting 16 177-194.
    • (1997) Journal of Forecasting , vol.16 , pp. 177-194
    • Ravishanker, N.1    Ray, B.K.2
  • 94
    • 84952395470 scopus 로고
    • Moving averages with random coefficients and random coefficient autoregressive models. Communications in Statistics
    • Resnick, S. I. and Willekens, E. (1991). Moving averages with random coefficients and random coefficient autoregressive models. Communications in Statistics. Stochastic Models 7 511-525.
    • (1991) Stochastic Models , vol.7 , pp. 511-525
    • Resnick, S.I.1    Willekens, E.2
  • 95
    • 0039841842 scopus 로고
    • Extreme value theory for moving average processes
    • Rootzén, H. (1986). Extreme value theory for moving average processes. The Annals of Probability 14 612-652.
    • (1986) The Annals of Probability , vol.14 , pp. 612-652
    • Rootzén, H.1
  • 96
    • 79958181154 scopus 로고    scopus 로고
    • Extremes for solutions to stochastic difference equations with regularly varying tails
    • Scotto, M. G. (2007). Extremes for solutions to stochastic difference equations with regularly varying tails. REVSTAT-Statistical Journal 5 229-247.
    • (2007) REVSTAT-Statistical Journal , vol.5 , pp. 229-247
    • Scotto, M.G.1
  • 97
    • 2942595768 scopus 로고    scopus 로고
    • Computation and characterization of autocorrelations and partial autocorrelations in periodic ARMA models
    • Shao, Q. and Lund, R. (2004). Computation and characterization of autocorrelations and partial autocorrelations in periodic ARMA models. Journal of Time Series Analysis 25 359-372.
    • (2004) Journal of Time Series Analysis , vol.25 , pp. 359-372
    • Shao, Q.1    Lund, R.2
  • 99
    • 70349270803 scopus 로고    scopus 로고
    • Multivariate GARCH models
    • T. Andersen, R. Davis, J. Kreib, and T. Mikosch, eds.) Springer, New York
    • Silvennoinen, A. and Teräsvirta, T. (2009). Multivariate GARCH models. In Handbook of Financial Time Series (T. Andersen, R. Davis, J. Kreib, and T. Mikosch, eds.) Springer, New York.
    • (2009) Handbook of Financial Time Series
    • Silvennoinen, A.1    Teräsvirta, T.2
  • 100
    • 44049114907 scopus 로고
    • Maximum likelihood estimation of stationary univariate fractionally integrated time series models
    • Sowell, F. (1992). Maximum likelihood estimation of stationary univariate fractionally integrated time series models. Journal of Econometrics 53 165-188.
    • (1992) Journal of Econometrics , vol.53 , pp. 165-188
    • Sowell, F.1
  • 101
    • 38349051930 scopus 로고    scopus 로고
    • Binomial autoregressive moving average models with an application to U.S. recessions
    • Startz, R. (2008). Binomial autoregressive moving average models with an application to U.S. recessions. Journal of Business and Economic Statistics 26 1-8.
    • (2008) Journal of Business and Economic Statistics , vol.26 , pp. 1-8
    • Startz, R.1
  • 102
    • 21444451585 scopus 로고    scopus 로고
    • Existence and stability of continuous time threshold ARMA processes
    • Stramer, O., Tweedie, R. L. and Brockwell, P. J. (1996). Existence and stability of continuous time threshold ARMA processes. Statistica Sinica 6 715-732.
    • (1996) Statistica Sinica , vol.6 , pp. 715-732
    • Stramer, O.1    Tweedie, R.L.2    Brockwell, P.J.3
  • 105
    • 0018759979 scopus 로고
    • Some results in periodic autoregression
    • Troutman, B. M. (1979). Some results in periodic autoregression. Biometrika 66 219-228.
    • (1979) Biometrika , vol.66 , pp. 219-228
    • Troutman, B.M.1
  • 106
    • 62749084528 scopus 로고    scopus 로고
    • On continuous-time autoregressive fractionally integrated moving average processes
    • Tsai, H. (2009). On continuous-time autoregressive fractionally integrated moving average processes. Bernoulli 15 178-194.
    • (2009) Bernoulli , vol.15 , pp. 178-194
    • Tsai, H.1
  • 107
    • 0034413735 scopus 로고    scopus 로고
    • A note on the covariance structure of a continuous-time ARMA process
    • Tsai, H. and Chan, K. S. (2000). A note on the covariance structure of a continuous-time ARMA process. Statistica Sinica 10 989-998.
    • (2000) Statistica Sinica , vol.10 , pp. 989-998
    • Tsai, H.1    Chan, K.S.2
  • 109
    • 42249100357 scopus 로고    scopus 로고
    • A note on inequality constraints in the GARCH model
    • Tsai, H. and Chan, K. S. (2008). A note on inequality constraints in the GARCH model. Econometric Theory 24 823-828.
    • (2008) Econometric Theory , vol.24 , pp. 823-828
    • Tsai, H.1    Chan, K.S.2
  • 110
    • 84952500802 scopus 로고
    • Parsimonious parameterization of vector autoregressive moving average models
    • Tsay, R. S. (1989). Parsimonious parameterization of vector autoregressive moving average models. Journal of Business and Economic Statistics 7 327-341.
    • (1989) Journal of Business and Economic Statistics , vol.7 , pp. 327-341
    • Tsay, R.S.1
  • 112
    • 58149110795 scopus 로고    scopus 로고
    • On modelling and diagnostic checking of vector periodic autoregressive time series models
    • Ursu, E. and Duchesne, P. (2009). On modelling and diagnostic checking of vector periodic autoregressive time series models. Journal of Time Series Analysis 30 70-96.
    • (2009) Journal of Time Series Analysis , vol.30 , pp. 70-96
    • Ursu, E.1    Duchesne, P.2
  • 113
    • 0022160782 scopus 로고
    • Maximum likelihood estimation for periodic autoregressive moving average models
    • Vecchia, A. V. (1985a). Maximum likelihood estimation for periodic autoregressive moving average models. Technometrics 27 375-384.
    • (1985) Technometrics , vol.27 , pp. 375-384
    • Vecchia, A.V.1
  • 114
    • 0022136566 scopus 로고
    • Periodic autoregressive-moving average (PARMA) modeling with applications to water resources
    • Vecchia, A. V. (1985b). Periodic autoregressive-moving average (PARMA) modeling with applications to water resources. Journal of the American Water Resources Association 21 721-730.
    • (1985) Journal of the American Water Resources Association , vol.21 , pp. 721-730
    • Vecchia, A.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.