cat_cox                 Catalytic Cox Proportional Hazards Model (COX)
                        Fitting Function with Fixed Tau
cat_cox_bayes           Bayesian Estimation for Catalytic Cox
                        Proportional-Hazards Model (COX) with Fixed tau
cat_cox_bayes_joint     Bayesian Estimation for Catalytic Cox
                        Proportional-Hazards Model (COX) with adaptive
                        tau
cat_cox_initialization
                        Initialization for Catalytic Cox proportional
                        hazards model (COX)
cat_cox_tune            Catalytic Cox Proportional-Hazards Model (COX)
                        Fitting Function by Tuning tau from a Sequence
                        of tau Values
cat_glm                 Catalytic Generalized Linear Models (GLMs)
                        Fitting Function with Fixed Tau
cat_glm_bayes           Bayesian Estimation for Catalytic Generalized
                        Linear Models (GLMs) with Fixed tau
cat_glm_bayes_joint     Bayesian Estimation for Catalytic Generalized
                        Linear Models (GLMs) with adaptive tau
cat_glm_bayes_joint_gibbs
                        Bayesian Estimation with Gibbs Sampling for
                        Catalytic Generalized Linear Models (GLMs)
                        Binomial Family for Coefficients and tau
cat_glm_initialization
                        Initialization for Catalytic Generalized Linear
                        Models (GLMs)
cat_glm_tune            Catalytic Generalized Linear Models (GLMs)
                        Fitting Function by Tuning tau from a Sequence
                        of tau Values
cat_lmm                 Catalytic Linear Mixed Model (LMM) Fitting
                        Function with fixed tau
cat_lmm_initialization
                        Initialization for Catalytic Linear Mixed Model
                        (LMM)
cat_lmm_tune            Catalytic Linear Mixed Model (LMM) Fitting
                        Function by Tuning tau from a Sequence of tau
                        Values
cross_validation        Perform Cross-Validation for Model Estimation
cross_validation_cox    Perform Cross-Validation for Catalytic Cox
                        Proportional-Hazards Model (COX) to Select
                        Optimal tau
cross_validation_lmm    Perform Cross-Validation for Catalytic Linear
                        Mixed Model (LMM) to Select Optimal tau
extract_coefs           Extract and Format Model Coefficients
extract_dim             Extract Dimension Information from Model
                        Initialization
extract_stan_summary    Extract and Format Summary of Stan Model
                        Results
extract_tau_seq         Extract and Format Sequence of Tau Values
get_adjusted_cat_init   Adjusted Cat Initialization
get_cox_gradient        Compute the Gradient for Cox Proportional
                        Hazards Model
get_cox_hessian         Compute the Hessian Matrix for Cox Proportional
                        Hazards Model
get_cox_kappa           Estimate the kappa value for the synthetic Cox
                        proportional hazards model
get_cox_partial_likelihood
                        Compute the Partial Likelihood for the Cox
                        Proportional Hazards Model
get_cox_qr_solve        Solve Linear System using QR Decomposition
get_cox_risk_and_failure_sets
                        Calculate Risk and Failure Sets for Cox
                        Proportional Hazards Model
get_cox_risk_set_idx    Identify the risk set indices for Cox
                        proportional hazards model
get_cox_syn_gradient    Compute the gradient of the synthetic Cox
                        proportional hazards model
get_cox_syn_hessian     Compute the Synthetic Hessian Matrix for Cox
                        Proportional Hazards Model
get_discrepancy         Compute Discrepancy Measures
get_formula_lhs         Extract Left-Hand Side of Formula as String
get_formula_rhs         Extract the Right-Hand Side of a Formula
get_formula_string      Convert Formula to String
get_glm_custom_var      Get Custom Variance for Generalized Linear
                        Model (GLM)
get_glm_diag_approx_cov
                        Compute Diagonal Approximate Covariance Matrix
get_glm_family_string   Retrieve GLM Family Name or Name with Link
                        Function
get_glm_lambda          Compute Lambda Based on Discrepancy Method
get_glm_log_density     Compute Log Density Based on GLM Family
get_glm_log_density_grad
                        Compute Gradient of Log Density for GLM
                        Families
get_glm_mean            Compute Mean Based on GLM Family
get_glm_sample_data     Generate Sample Data for GLM
get_hmc_mcmc_result     Run Hamiltonian Monte Carlo to Get MCMC Sample
                        Result
get_linear_predictor    Compute Linear Predictor
get_resampled_df        Resampling Methods for Data Processing
get_stan_model          Generate Stan Model Based on Specified
                        Parameters
get_standardized_data   Standardize Data
hmc_neal_2010           Hamiltonian Monte Carlo (HMC) Implementation
is.continuous           Check if a Variable is Continuous
mallowian_estimate      Perform Mallowian Estimate for Model Risk (Only
                        Applicable for Gaussian Family)
parametric_bootstrap    Perform Parametric Bootstrap for Model Risk
                        Estimation
plot.cat_tune           Plot Likelihood or Risk Estimate vs. Tau for
                        Tuning Model
predict.cat_cox         Predict Linear Predictor for New Data Using a
                        Fitted Cox Model
predict.cat_glm         Predict Outcome for New Data Using a Fitted GLM
                        Model
predict.cat_lmm         Predict Linear Predictor for New Data Using a
                        Fitted Linear Mixed Model
print.cat               Print Method for 'cat' Object
print.cat_bayes         Print Summary of 'cat_bayes' Model
print.cat_gibbs         Print Summary of 'cat_gibbs' Model
print.cat_initialization
                        Print Summary for Catalytic Initialization
                        Model
print.cat_tune          Print Method for 'cat_tune' Object
print_df_head_tail      Print Data Frame with Head and Tail Rows
print_glm_bayes_joint_binomial_suggestion
                        Generate Suggestions for Bayesian Joint
                        Binomial GLM Parameter Estimation
steinian_estimate       Perform Steinian Estimate for Model Risk (Only
                        Applicable for Binomial Family)
swim                    Simulated SWIM Dataset with Binary Response
traceplot               Traceplot for Bayesian Model Sampling
traceplot.cat_bayes     Traceplot for Bayesian Sampling Model
traceplot.cat_gibbs     Traceplot for Gibbs Sampling Model
update_lmm_variance     Calculates the log-likelihood for linear mixed
                        models (LMMs) by combining observed and
                        synthetic log-likelihoods based on the variance
                        parameters.
validate_cox_initialization_input
                        Validate Inputs for Catalytic Cox proportional
                        hazards model (COX) Initialization
validate_cox_input      Validate Inputs for Catalytic Cox Model
validate_glm_initialization_input
                        Validate Inputs for Catalytic Generalized
                        Linear Models (GLMs) Initialization
validate_glm_input      Validate Inputs for Catalytic Generalized
                        Linear Models (GLMs)
validate_lmm_initialization_input
                        Validate Inputs for Catalytic Linear Mixed
                        Model (LMM) Initialization
validate_lmm_input      Validate Inputs for Catalytic Linear Mixed
                        Model (LMM)
validate_positive       Validate Positive or Non-negative Parameter
