Calculates the posterior probability of cluster membership given the observed data.
Responsibility(split_data, means, covs, pi)
Data partitioned by missingness.
List of mean vectors.
List of covariances matrices.
Vector of cluster proportions.
List containing:
k Number of mixture components.
Density evaluations `dens_eval0` and responsibilities `gamma0` for complete cases.
Density evaluations `dens_eval1` and responsibilities `gamma1` for incomplete cases.