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Maximum likelihood and restricted maximum likelihood estimation for a class of Gaussian Markov random fields

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  • Victor De Oliveira
  • Marco Ferreira

Abstract

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  • Victor De Oliveira & Marco Ferreira, 2011. "Maximum likelihood and restricted maximum likelihood estimation for a class of Gaussian Markov random fields," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(2), pages 167-183, September.
    • Handle: RePEc:spr:metrik:v:74:y:2011:i:2:p:167-183
    DOI: 10.1007/s00184-009-0295-7
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    References listed on IDEAS

    as
    1. Ferreira, Marco A.R. & De Oliveira, Victor, 2007. "Bayesian reference analysis for Gaussian Markov random fields," Journal of Multivariate Analysis, Elsevier, vol. 98(4), pages 789-812, April.
    2. Håvard Rue, 2001. "Fast sampling of Gaussian Markov random fields," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 325-338.
    3. Julian Besag & Jeremy York & Annie Mollié, 1991. "Bayesian image restoration, with two applications in spatial statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(1), pages 1-20, March.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Li, Mengyuan & Yu, Dalei & Bai, Peng, 2013. "A note on the existence and uniqueness of quasi-maximum likelihood estimators for mixed regressive, spatial autoregression models," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 568-572.
    2. Ferreira, Marco A.R. & Porter, Erica M. & Franck, Christopher T., 2021. "Fast and scalable computations for Gaussian hierarchical models with intrinsic conditional autoregressive spatial random effects," Computational Statistics & Data Analysis, Elsevier, vol. 162(C).
    3. Kęstutis Dučinskas & Lina Dreižienė, 2018. "Risks of Classification of the Gaussian Markov Random Field Observations," Journal of Classification, Springer;The Classification Society, vol. 35(3), pages 422-436, October.
    4. Lisa Henn & James S. Hodges, 2014. "Multiple Local Maxima in Restricted Likelihoods and Posterior Distributions for Mixed Linear Models," International Statistical Review, International Statistical Institute, vol. 82(1), pages 90-105, April.

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