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On the estimation of the parameters of a power spectrum

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  • Rice, John

Abstract

Three methods of estimating the parameters of a power spectrum are analyzed. The three methods are shown to give consistent and, under certain conditions, asymptotically equivalent results. However, one method, based on an approximate likelihood analysis, is seen to be superior to the other two in some respects.

Suggested Citation

  • Rice, John, 1979. "On the estimation of the parameters of a power spectrum," Journal of Multivariate Analysis, Elsevier, vol. 9(3), pages 378-392, September.
    • Handle: RePEc:eee:jmvana:v:9:y:1979:i:3:p:378-392
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    Cited by:

    1. Isabel Silva & M. Eduarda Silva & Isabel Pereira & Nélia Silva, 2005. "Replicated INAR(1) Processes," Methodology and Computing in Applied Probability, Springer, vol. 7(4), pages 517-542, December.
    2. Kakizawa, Yoshihide, 1997. "Parameter estimation and hypothesis testing in stationary vector time series," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 225-234, May.
    3. Angela Ferretti & L. Ippoliti & P. Valentini & R. J. Bhansali, 2023. "Long memory conditional random fields on regular lattices," Environmetrics, John Wiley & Sons, Ltd., vol. 34(5), August.
    4. Maria Eduarda Silva & Vera Lúcia Oliveira, 2005. "Difference Equations for the Higher Order Moments and Cumulants of the INAR(p) Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(1), pages 17-36, January.
    5. Maria Eduarda Da Silva & Vera Lúcia Oliveira, 2004. "Difference Equations for the Higher‐Order Moments and Cumulants of the INAR(1) Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(3), pages 317-333, May.
    6. Lee, Seonjoo & Shen, Haipeng & Truong, Young, 2021. "Sampling properties of color Independent Component Analysis," Journal of Multivariate Analysis, Elsevier, vol. 181(C).
    7. Rahiala, Markku, . "On the Identification and Estimation of Multiple Input Transfer Function Models with Autocorrelated Errors," ETLA A, The Research Institute of the Finnish Economy, number 8, June.
    8. Tata Subba Rao & Granville Tunnicliffe Wilson & Joao Jesus & Richard E. Chandler, 2017. "Inference with the Whittle Likelihood: A Tractable Approach Using Estimating Functions," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(2), pages 204-224, March.

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