KaplanMeier_Censoring_vectorized
                        Kaplan-Meier Estimator for Censoring
                        Distribution (Vectorized)
Ml_CompRisk             Maximum Likelihood Estimation for Cause 1 in
                        Competing Risks
Ml_Cox                  Maximum Likelihood Estimation for the Cox Model
                        (Optimized)
Nelson_Censoring_vectorized
                        Nelson-Aalen Estimator of Censoring
                        Distribution (Vectorized)
Parameters_estimation   Unified Interface for Parameter Estimation in
                        (Competing Risks) Frailty Models
Reml_CompRisk_frailty   REML Estimation for Cause 1 in a Competing
                        Risks Model with Shared Frailty
Reml_Cox_frailty        Cox Model with Random Frailty (REML Estimation)
check_data_format       Check the Format of a Data Frame for
                        Multicentre Competing Risks with Frailty
compute_M_optimized     Compute the Weight Matrix M (Optimized)
create_G_function       Create Step Function for Estimated Survival (G)
logLikelihood_1         Log-Likelihood Contribution for Cause 1
logLikelihood_2         Compute Log-Likelihood Penalty for Random
                        Effects
simulate_data           Simulate clustered competing risks data with
                        shared frailty
