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Parameter estimation of hidden periodic model in random fields

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Abstract

Two-dimensional hidden periodic model is an important model in random fields. The model is used in the field of two-dimensional signal processing, prediction and spectral analysis. A method of estimating the parameters for the model is designed. The strong consistency of the estimators is proved.

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References

  1. Brockwell, P. J., Davis, R. A.,Time Series, Theory and Methods, New York: Springer-Verlag, 1987.

    MATH  Google Scholar 

  2. Dudgeon, D. E., Merserean, R. M.,Multidimensional Digital Signal Processing, Englewwood Cliffs: Prentice-Hall, Inc., 1987.

    Google Scholar 

  3. HeShuyuan, On estimating the hidden periodicity of linear time series models,Act. Math. Appl. Sinica, 1987 13(2): 168.

    Google Scholar 

  4. HeShuyuan, The uniform convergence for weighted periodogram of stationary linear random fields, Chin.Ann. of Math., 1995 16B: 331.

    Google Scholar 

  5. HeShuyuan, Estimation of the mixed AR and hidden periodic model,Acta Math. Appl. Sinica, 1997 13(2): 196.

    Article  MATH  MathSciNet  Google Scholar 

  6. Truong-Van.B., A new approach to frequency analysis with amplified harmonics,J. Roy. Statist. Soc., Ser. B, 1990, 52: 203.

    MathSciNet  Google Scholar 

  7. Yacowitz, S., Some contributions to a frequency location method due to He and Kedem,IEEE Tran. on Signal Proc, 1991, 42(5): 1177.

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematical Science, Peking University, 100871, Beijing, China

    He Shuyuan

Authors
  1. He Shuyuan
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19571002).

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Shuyuan, H. Parameter estimation of hidden periodic model in random fields. Sci. China Ser. A-Math. 42, 238–245 (1999). https://doi.org/10.1007/BF02879057

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  • DOI: https://doi.org/10.1007/BF02879057

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