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Blockwise empirical Euclidean likelihood for weakly dependent processes

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  • Lin, Lu
  • Zhang, Runchu

Abstract

This paper introduces a method of blockwise empirical Euclidean likelihood for weakly dependent processes. The strong consistency and asymptotic normality of the blockwise empirical Euclidean likelihood estimation are proved. It is deduced that the blockwise empirical Euclidean likelihood ratio statistic is asymptotically a chi-square statistic. These results show that the blockwise empirical Euclidean likelihood estimation is more asymptotically efficient than the original empirical (Euclidean) likelihood estimation and it is useful for weakly dependent processes.

Suggested Citation

  • Lin, Lu & Zhang, Runchu, 2001. "Blockwise empirical Euclidean likelihood for weakly dependent processes," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 143-152, June.
  • Handle: RePEc:eee:stapro:v:53:y:2001:i:2:p:143-152
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    Citations

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    Cited by:

    1. Yuichi Kitamura, 2006. "Empirical Likelihood Methods in Econometrics: Theory and Practice," CIRJE F-Series CIRJE-F-430, CIRJE, Faculty of Economics, University of Tokyo.
    2. Daniel J. Nordman & Helle Bunzel & Soumendra N. Lahiri, 2012. "A Non-standard Empirical Likelihood for Time Series," CREATES Research Papers 2012-55, Department of Economics and Business Economics, Aarhus University.
    3. de Carvalho, Miguel & Oumow, Boris & Segers, Johan & WarchoÅ‚, MichaÅ‚, 2012. "A Euclidean likelihood estimator for bivariate tail dependence," LIDAM Discussion Papers ISBA 2012013, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    4. Zhang, Junjian, 2006. "Empirical likelihood for NA series," Statistics & Probability Letters, Elsevier, vol. 76(2), pages 153-160, January.
    5. Daniel Nordman, 2008. "An empirical likelihood method for spatial regression," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 68(3), pages 351-363, November.
    6. Chen, Xia & Cui, Hengjian, 2008. "Empirical likelihood inference for partial linear models under martingale difference sequence," Statistics & Probability Letters, Elsevier, vol. 78(17), pages 2895-2901, December.
    7. Chioneso S. Marange & Yongsong Qin & Raymond T. Chiruka & Jesca M. Batidzirai, 2023. "A Blockwise Empirical Likelihood Test for Gaussianity in Stationary Autoregressive Processes," Mathematics, MDPI, vol. 11(4), pages 1-20, February.

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