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Markov Chain Monte Carlo/Ushahidi
Rekodi ya ushahidi wa mbinu

Markov Chain Monte Carlo

Markov Chain Monte Carlo (MCMC) is a family of simulation algorithms that constructs a Markov chain whose stationary distribution is the target posterior, enabling Bayesian inference and high-dimensional integral computation that would otherwise be analytically intractable. Pioneered by Metropolis and colleagues in 1953 and extended by Hastings in 1970, MCMC underpins modern Bayesian statistics. The two most widely used variants are Metropolis-Hastings, which proposes moves from a general proposal distribution, and Gibbs sampling, which draws each parameter in turn from its full conditional distribution.

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Rekodi ya chanzo

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Markov Chain Monte Carlo (MCMC — Metropolis-Hastings, Gibbs Sampling)
Rekodi ya mbinu ya kiajenda · process-pipeline / simulation
  • Gelman, A., Carlin, J.B., Stern, H.S., Dunson, D.B., Vehtari, A. & Rubin, D.B. (2013). Bayesian Data Analysis (3rd ed.). Chapman & Hall/CRC. · DOI 10.1201/b16018
  • Brooks, S., Gelman, A., Jones, G.L. & Meng, X.-L. (Eds.) (2011). Handbook of Markov Chain Monte Carlo. Chapman & Hall/CRC. · DOI 10.1201/b10905
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Same method familyApproximate Bayesian Computationmachine-suggested · Relational suggestion, not evidence.See alsoBayesian Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyBootstrap Simulationmachine-suggested · Relational suggestion, not evidence.Same method familyLatin Hypercube Samplingmachine-suggested · Relational suggestion, not evidence.See alsoMONTE-CARLO-SIMULATIONmachine-suggested · Relational suggestion, not evidence.

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Sources recorded, not reviewed

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