Efficient simulation of Gaussian Markov random fields by Chebyshev polynomial approximation

Spatial Statistics ◽

10.1016/j.spasta.2019.100359 ◽

2019 ◽

Vol 31 ◽

pp. 100359 ◽

Author(s):

Mike Pereira ◽

Nicolas Desassis

Keyword(s):

Chebyshev Polynomial ◽

Polynomial Approximation ◽

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

Efficient Simulation ◽

Markov Random ◽

Chebyshev Polynomial Approximation

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Sampling from Gaussian Markov random fields conditioned on linear constraints

ANZIAM Journal ◽

10.21914/anziamj.v48i0.131 ◽

2008 ◽

Vol 48 ◽

pp. 1041 ◽

Author(s):

Daniel Peter Simpson ◽

Ian W. Turner ◽

A. N. Pettitt

Keyword(s):

Random Fields ◽

Markov Random Fields ◽

Linear Constraints ◽

Gaussian Markov Random Fields ◽

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

Metrika ◽

10.1007/s00184-009-0295-7 ◽

2009 ◽

Vol 74 (2) ◽

pp. 167-183 ◽

Author(s):

Victor De Oliveira ◽

Marco A. R. Ferreira

Keyword(s):

Maximum Likelihood ◽

Maximum Likelihood Estimation ◽

Random Fields ◽

Markov Random Fields ◽

Likelihood Estimation ◽

Restricted Maximum Likelihood ◽

Gaussian Markov Random Fields ◽

Markov Random ◽

Restricted Maximum Likelihood Estimation

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Adaptive Gaussian Markov random fields with applications in human brain mapping

Journal of the Royal Statistical Society Series C (Applied Statistics) ◽

10.1111/j.1467-9876.2007.00580.x ◽

2007 ◽

Vol 56 (3) ◽

pp. 327-345 ◽

Author(s):

A. Brezger ◽

L. Fahrmeir ◽

A. Hennerfeind

Keyword(s):

Human Brain ◽

Brain Mapping ◽

Random Fields ◽

Markov Random Fields ◽

Human Brain Mapping ◽

Gaussian Markov Random Fields ◽

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Rejoinder on: Some recent work on multivariate Gaussian Markov random fields

Test ◽

10.1007/s11749-018-0608-0 ◽

2018 ◽

Vol 27 (3) ◽

pp. 554-569 ◽

Author(s):

Ying C. MacNab

Keyword(s):

Recent Work ◽

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

Markov Random ◽

Multivariate Gaussian

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Comments on: Some recent work on multivariate Gaussian Markov random fields

Test ◽

10.1007/s11749-018-0609-z ◽

2018 ◽

Vol 27 (3) ◽

pp. 545-548

Author(s):

Stephan R. Sain ◽

Reinhard Furrer

Keyword(s):

Recent Work ◽

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

Markov Random ◽

Multivariate Gaussian

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Theory of Gaussian Markov random fields

C&H/CRC Monographs on Statistics & Applied Probability - Gaussian Markov Random Fields ◽

10.1201/9780203492024.ch2 ◽

2005 ◽

Keyword(s):

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

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On stochastic elliptic boundary value problems associated with gaussian markov random fields

Stochastic Partial Differential Equations and Their Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0007336 ◽

2005 ◽

pp. 222-237 ◽

Author(s):

Loren D. Pitt ◽

Daoyi Wang

Keyword(s):

Boundary Value Problems ◽

Random Fields ◽

Markov Random Fields ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Gaussian Markov Random Fields ◽

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Optimization of the antithetic Gibbs sampler for Gaussian Markov random fields

COMPSTAT ◽

10.1007/978-3-642-57678-2_35 ◽

2000 ◽

pp. 289-294

Author(s):

Johannes M. Dreesman

Keyword(s):

Gibbs Sampler ◽

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

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Theory of Gaussian Markov random ﬁelds

Gaussian Markov Random Fields ◽

10.1201/9780203492024-4 ◽

2005 ◽

pp. 31-100

Keyword(s):

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

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Intrinsic Gaussian Markov random ﬁelds

Gaussian Markov Random Fields ◽

10.1201/9780203492024-5 ◽

2005 ◽

pp. 101-148

Keyword(s):

Random Fields ◽

Markov Random Fields ◽

Gaussian Markov Random Fields ◽

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