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Robust Gibbs-sampling

Robust Gibbs-sampling er en Markov chain Monte Carlo-strategi, der parrer den koordinatvise Gibbs-sampler med heavy-tailed eller outlier-resistente modelspecifikationer — oftest Student-t likelihoods — så den post-hoc inferens ikke forvrænges af ekstreme observationer. Den opnår robusthed gennem data-augmentation: hver observation får en latent variansvægt, der automatisk nedvægter outliers under hver sampling-sweep.

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Kilder

  1. Geweke, J. (1993). Bayesian treatment of the independent Student-t linear model. Journal of Applied Econometrics, 8(S1), S19–S40. DOI: 10.1002/jae.3950080504
  2. Chib, S. & Greenberg, E. (1995). Understanding the Metropolis-Hastings algorithm. The American Statistician, 49(4), 327–335. DOI: 10.1080/00031305.1995.10476177

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ScholarGate. (2026, June 3). Robust Gibbs Sampling. ScholarGate. https://scholargate.app/da/bayesian/robust-gibbs-sampling

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ScholarGateRobust Gibbs Sampling (Robust Gibbs Sampling). Hentet 2026-06-15 fra https://scholargate.app/da/bayesian/robust-gibbs-sampling · Datasæt: https://doi.org/10.5281/zenodo.20539026