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

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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