Autoregressive and Mixed Autoregressive-Moving Average Models and Spectra (With 13 Figures)

[1]  G. Yule.  On a Method of Investigating Periodicities in Disturbed Series, with Special Reference to Wolfer's Sunspot Numbers , 1927 .

[2]  M. Bartlett.  On the Theoretical Specification and Sampling Properties of Autocorrelated Time‐Series , 1946 .

[3]  N. Levinson.  The Wiener (Root Mean Square) Error Criterion in Filter Design and Prediction , 1946 .

[4]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[5]  M. Kendall,et al.  A Study in the Analysis of Stationary Time-Series. , 1955 .

[6]  J. W. Tukey,et al.  The Measurement of Power Spectra from the Point of View of Communications Engineering , 1958 .

[7]  朝倉 利光.  R. B. Blackman and J. W. Tukey: The Measurement of Power Spectra, Dover Publications, Inc., New York, 1958, 208頁, 13.5×16cm, $1.85 , 1964 .

[8]  Richard H. Jones,et al.  A Reappraisal of the Periodogram in Spectral Analysis , 1965 .

[9]  E. Guillemin.  The mathematics of circuit analysis , 1965 .

[10]  Robert B. Ash,et al.  Information Theory , 2020, The SAGE International Encyclopedia of Mass Media and Society.

[11]  I. Shapiro,et al.  Theoretical Model for the Chandler Wobble , 1967, Nature.

[12]  J. P. Burg,et al.  Maximum entropy spectral analysis. , 1967 .

[13]  Enders A. Robinson,et al.  Statistical Communication and Detection , 1967 .

[14]  D. G. Watts,et al.  Spectral analysis and its applications , 1968 .

[15]  William C. Davidon,et al.  Variance Algorithm for Minimization , 1968, Comput. J..

[16]  H. Akaike.  Power spectrum estimation through autoregressive model fitting , 1969 .

[17]  G. Wilson.  Factorization of the Covariance Generating Function of a Pure Moving Average Process , 1969 .

[18]  S. Treitel.  PREDICTIVE DECONVOLUTION: THEORY AND PRACTICE , 1969 .

[19]  R. E. Kalman,et al.  Aspects of network and system theory , 1971 .

[20]  ADAPTIVE SIGNAL PROCESSING THROUGH STOCHASTIC APPROXIMATION , 1971 .

[21]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[22]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[23]  H. Akaike.  Maximum likelihood identification of Gaussian autoregressive moving average models , 1973 .

[24]  Hirotugu Akaike,et al.  Maximum likelihood estimation of structural parameters from random vibration data , 1973 .

[25]  R. L. Kashyap,et al.  Real time recursive prediction of river flows , 1973 .

[26]  V. Pisarenko.  The Retrieval of Harmonics from a Covariance Function , 1973 .

[27]  H. Akaike.  Markovian Representation of Stochastic Processes and Its Application to the Analysis of Autoregressive Moving Average Processes , 1974 .

[28]  K. Berk.  Consistent Autoregressive Spectral Estimates , 1974 .

[29]  N. Andersen.  On the calculation of filter coefficients for maximum entropy spectral analysis , 1974 .

[30]  M. Pagano.  Estimation of Models of Autoregressive Signal Plus White Noise , 1974 .

[31]  G. R. Stegen,et al.  Experiments with maximum entropy power spectra of sinusoids , 1974 .

[32]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[33]  T. Ulrich,et al.  Maximum entropy spectral analy-sis and autoregressive decomposition , 1975 .

[34]  E. Parzen.  Multiple Time Series: Determining the Order of Approximating Autoregressive Schemes. , 1975 .

[35]  赤池 弘次,et al.  TIMSAC-74 a time series analysis and control program package , 1975 .

[36]  A. Berkhout,et al.  A COMPARISON BETWEEN WIENER FILTERING, KALMAN FILTERING, AND DETERMINISTIC LEAST SQUARES ESTIMATION* , 1976 .

[37]  John E. Markel,et al.  Linear Prediction of Speech , 1976, Communication and Cybernetics.

[38]  T. Ulrych,et al.  Time series modeling and maximum entropy , 1976 .

[39]  J. Makhoul.  Stable and efficient lattice methods for linear prediction , 1977 .

[40]  O. L. Frost.  Power-Spectrum Estimation , 1977 .

[41]  E. A. Robinson,et al.  THE SPECTRAL FUNCTION OF A LAYERED SYSTEM AND THE DETERMINATION OF THE WAVEFORMS AT DEPTH , 1977 .

[42]  Albert H Nuttall.  Scientific and Engineering Studies; Spectral Estimation. , 1977 .

[43]  L. Marple.  Resolution of conventional Fourier, autoregressive, and special ARMA methods of spectrum analysis , 1977 .

[44]  Masatsugu Ooe,et al.  An optimal complex AR.MA model of the Chandler wobble , 1978 .

[45]  Andrejs Jurkevics,et al.  Representing and simulating strong ground motion , 1978 .

[46]  S. Thomas Alexander,et al.  High resolution spectral analysis of sinusoids in correlated noise , 1978, ICASSP.

[47]  P. Schultz,et al.  Fundamentals of geophysical data processing , 1979 .

[48]  J. Scargle.  Studies in astronomical time series analysis. I - Modeling random processes in the time domain , 1981 .