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ESTIMATION OF THE MIXED AR AND HIDDEN PERIODIC MODEL 被引量:2

ESTIMATION OF THE MIXED AR AND HIDDEN PERIODIC MODEL
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摘要 Mired AR and hidden periodic model describes more time series than that of simple stationary AR or hidden periodic model and can be used in a variety of practical field., The current statistical analysis methods for stationary AR model and hidden periodic model are used to get strong consistent parameter estimation for the mixed AR and hidden periodic model. The law of iterated logarithm convergence rate is given for the estimator of autoregressive coefficients, for that of hidden frequencies and for that of amplitudes of vibration. Mired AR and hidden periodic model describes more time series than that of simple stationary AR or hidden periodic model and can be used in a variety of practical field., The current statistical analysis methods for stationary AR model and hidden periodic model are used to get strong consistent parameter estimation for the mixed AR and hidden periodic model. The law of iterated logarithm convergence rate is given for the estimator of autoregressive coefficients, for that of hidden frequencies and for that of amplitudes of vibration.
作者 何书元
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1997年第2期196-208,共6页 应用数学学报(英文版)
关键词 Frequency estimation AR process Yule-Walker estimate Strongly consistency Frequency estimation, AR process, Yule-Walker estimate, Strongly consistency
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参考文献15

  • 1P.J. Brockwell and R.A. Davis.Time Series, Theory and Methods. . 1987 被引量:1
  • 2He Shuyuan.On Estimating the Hidden Periodicities in Linear Time Series Models. Acta Mathematicae Applicatae Sinica . 1987 被引量:1
  • 3Wang Jiagang.Some Estimation Problems for Linear Model of Time Series. Chinese Annals of Mathematics . 1983 被引量:1
  • 4An Hongzhi,Chen Zhaoguo and E.J.Hannan.The Maximum of Periodogram. Journal of Multivariate Analysis . 1983 被引量:1
  • 5C. Chatterjee,R.L. Kashyap and G. Boray.Estimation of Close Sinusoidals in Colored Noise andModel Discrimination. IEEE Transactions on Acoustics Speech and Signal Processing . 1987 被引量:1
  • 6He Shuyuan.Convergence of the Maximum of Periodogram. Sys. Sci. and Math. Sci . 1995 被引量:1
  • 7B. Thuong-Van.A New Approach to nequency Analysis with Amplified Harmonics. J. Roy. Statist.Soc. Ser . 1990 被引量:1
  • 8E.J. Hannan.Non-linear Time Series Regression. Journal of Applied Probability . 1971 被引量:1
  • 9Wang Xiaobao.Law of the iterated Logarithm for Periodogram.Chinese J. Appl. Prob. Statist . 1985 被引量:1
  • 10Huang Dawei.Recursive Method for ARMA Model Estimation (I). Acta Mathematicae Applicatae Sinica . 1988 被引量:1

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