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Table 4 Bayesian sampling algorithms

From: Bayesian joint modelling of longitudinal and time to event data: a methodological review

Sampling algorithm

Number of articles (%)

Reference

Markov Chain Monte Carlo (MCMC)

28(38.8%)

[13, 17, 20, 24, 26, 30, 31, 33, 38, 39, 43, 46, 49, 50, 53, 57, 58, 60, 62, 67, 68, 72, 75, 76, 82, 84,85,86]

Gibbs sampler and Metropolis Hastings (MH)

24(33.3%)

[14, 15, 22, 23, 25, 27, 29, 35, 37, 41, 42, 44, 48, 51, 54, 56, 59, 61, 69, 70, 77,78,79,80]

Gibbs sampling

9(12.5%)

[19, 36, 40, 45, 47, 52, 65, 66, 83]

Gibbs sampling with adaptive rejection and MH

3(4.2%)

[16, 18, 63]

Block Gibbs sampling and MH

2(2.8%)

[32, 34]

Bayesian Lasso

1(1.4%)

[28]

Newton-Raphson procedure and a derivative-based MCMC

1(1.4%)

[71]

No-U-Turn sampler

2(2.8%)

[73, 74]

Hamiltonian Monte Carlo (HMC)

1(1.4%)

[81]

HMC and No-U-Turn sampler

1(1.4%)

[87]