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EM algorithm coupled with particle filter for maximum likelihood parameter estimation of stochastic differential mixed-effects models

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Academic year: 2021

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Figure 1 presents the convergence of the SAEM-PMCMC algorithm for one dataset sim- sim-ulated with the second set of parameters, n = 40 and J = 20
Figure 1. Convergence of the SAEM-PMCMC estimates log(τ) ! m , b κ m , ω c τ m , ω c κm , γ b m and σ b m along the SAEM iterations for one dataset simulated with the Ornstein-Uhlenbeck mixed model, with the second set of parameters, n = 40 and J = 20
Table 1. Ornstein-Uhlenbeck mixed model: biais and RMSE (%) for θ b ob- ob-tained by the SAEM-PMCMC and SAEM-MCMC algorithms on 100 simulated datasets with two designs (n = 20, J = 40 and n = 40, J = 20) and two sets of parameters
Table 2. Ornstein-Uhlenbeck mixed model, n = 20, J = 40: biais and RMSE (%) for θ b obtained by the SAEM-PMCMC algorithm on 100  simu-lated datasets
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