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Shrinkage estimator in normal mean vector estimation based on conditional maximum likelihood estimators

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  • Park, Junyong

Abstract

Estimation of normal mean vector has broad applications such as small area estimation, estimation of nonparametric functions and estimation of wavelet coefficients. In this paper, we propose a new shrinkage estimator based on conditional maximum likelihood estimator incorporating with Stein’s risk unbiased estimator (SURE) when data have the normality. We present some theoretical work and provide numerical studies to compare with some existing methods.

Suggested Citation

  • Park, Junyong, 2014. "Shrinkage estimator in normal mean vector estimation based on conditional maximum likelihood estimators," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 1-6.
    • Handle: RePEc:eee:stapro:v:93:y:2014:i:c:p:1-6
    DOI: 10.1016/j.spl.2014.06.005
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    References listed on IDEAS

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    1. Fan J. & Li R., 2001. "Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1348-1360, December.
    2. Johnstone, Iain & Silverman, Bernard W., 2005. "EbayesThresh: R Programs for Empirical Bayes Thresholding," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 12(i08).
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    Cited by:

    1. Park, Junyong, 2018. "Simultaneous estimation based on empirical likelihood and general maximum likelihood estimation," Computational Statistics & Data Analysis, Elsevier, vol. 117(C), pages 19-31.

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