# Overfitting Bayesian Mixtures of Factor Analyzers with Parsimonious Covariance and Unknown Number of Components

## Documentation for package ‘fabMix’ version 5.1

- DESCRIPTION file.

## Help Pages

fabMix-package | Overfitting Bayesian Mixtures of Factor Analyzers with Parsimonious Covariance and Unknown Number of Components
complete.log.likelihood | Complete log-likelihood function for xCx models.
complete.log.likelihood_q0 | Complete log-likelihood function for xUx models and q=0
complete.log.likelihood_q0_sameSigma | Complete log-likelihood function for xCx models and q=0
complete.log.likelihood_Sj | Complete log-likelihood function for xUx models.
compute_A_B_G_D_and_simulate_mu_Lambda | Computation and simulations
compute_A_B_G_D_and_simulate_mu_Lambda_CCU | Computation and simulations for CCU
compute_A_B_G_D_and_simulate_mu_Lambda_CUU | Computation and simulations for CUU
compute_A_B_G_D_and_simulate_mu_Lambda_q0 | Computation and simulations for q = 0.
compute_A_B_G_D_and_simulate_mu_Lambda_q0_sameSigma | Computation and simulations for q = 0.
compute_A_B_G_D_and_simulate_mu_Lambda_Sj | Computation and simulations
compute_sufficient_statistics | Compute sufficient statistics
compute_sufficient_statistics_given_mu | Compute sufficient statistics given mu
compute_sufficient_statistics_q0 | Compute sufficient statistics for q = 0
CorMat_mcmc_summary | Compute quantiles for the correlation matrix.
CovMat_mcmc_summary | Compute quantiles for the covariance matrix.
dealWithLabelSwitching | Apply label switching algorithms
fabMix | Main function
fabMix_CxC | Function to estimate the 'CUC' and 'CCC' models
fabMix_CxU | Function to estimate the 'CCU' and 'CUU' models
fabMix_missing_values | Function to estimate the UUU or UCU models in case of missing values
fabMix_parallelModels | Function for model-level parallelization
fabMix_UxC | Function to estimate the 'UUC' and 'UCC' models
fabMix_UxU | Function to estimate the 'UUU' and 'UCU' model
getStuffForDIC | Compute information criteria
log_dirichlet_pdf | Log-density function of the Dirichlet distribution
myDirichlet | Simulate from the Dirichlet distribution
observed.log.likelihood0 | Log-likelihood of the mixture model
observed.log.likelihood0_q0_sameSigma | Log-likelihood of the mixture model for q=0 and same variance of errors
observed.log.likelihood0_Sj | Log-likelihood of the mixture model
observed.log.likelihood0_Sj_q0 | Log-likelihood of the mixture model for q=0
overfittingMFA | Basic MCMC sampler for the 'UCU' model
overfittingMFA_CCC | Basic MCMC sampler for the 'CCC' model
overfittingMFA_CCU | Basic MCMC sampler for the 'CCU' model
overfittingMFA_CUC | Basic MCMC sampler for the 'CUC' model
overfittingMFA_CUU | Basic MCMC sampler for the 'CUU' model
overfittingMFA_missing_values | Basic MCMC sampler for the case of missing data
overfittingMFA_Sj | Basic MCMC sampler for the 'UUU' model
overfittingMFA_Sj_missing_values | Basic MCMC sampler for the case of missing data and different error variance
overfittingMFA_UCC | Basic MCMC sampler for the 'UCC' model
overfittingMFA_UUC | Basic MCMC sampler for the 'UUC' model
overfitting_q0 | MCMC sampler for q=0
overfitting_q0_sameSigma | MCMC sampler for q=0 and same error variance parameterization
plot.fabMix.object | Plot function
print.fabMix.object | Print function
readLambdaValues | Read Lambda values.
simData | Synthetic data generator
simData2 | Synthetic data generator 2
summary.fabMix.object | Summary method
update_all_y | Gibbs sampling for y in 'xCx' model
update_all_y_Sj | Gibbs sampling for y in 'xUx' model
update_OmegaINV | Gibbs sampling for Omega^{-1}
update_OmegaINV_Cxx | Gibbs sampling for Omega^{-1} for Cxx model
update_SigmaINV_faster | Gibbs sampling for Sigma^{-1}
update_SigmaINV_faster_q0 | Gibbs sampling for Sigma^{-1} per component for q=0
update_SigmaINV_faster_q0_sameSigma | Gibbs sampling for Sigma^{-1} per component for q=0
update_SigmaINV_faster_Sj | Gibbs sampling for Sigma^{-1} per component
update_SigmaINV_xCC | Gibbs sampling for Sigma^{-1} for xCC models
update_SigmaINV_xUC | Gibbs sampling for Sigma^{-1} per component for xUC models
update_z2 | Collapsed Gibbs for z using matrix inversion lemma
update_z2_Sj | Collapsed Gibbs for z using matrix inversion lemma
update_z4 | Collapsed Gibbs for z
update_z4_Sj | Collapsed Gibbs for z
update_z_b | Gibbs sampling for z
update_z_b_Sj | Gibbs sampling for z
update_z_q0 | Gibbs sampling for z for q=0
update_z_q0_sameSigma | Gibbs sampling for z for q=0
waveDataset1500 | Wave dataset