ck(penden.env, beta.val)$c_k(x,\beta)=\frac{\exp(Z(x)\beta_k)}{\sum_{j=-K}^{K}\exp(Z(x)\beta_j)}$
For estimations without covariates, Z doesn't appear in calculations.
$c_k(\beta)=\frac{\exp(\beta_k)}{\sum_{k=-K}^{K}\exp(\beta_k)}$
Starting density calculation, the groupings of the covariates are indexed in the main program. The groupings are saved in 'x.factor', the index which response belongs to which group is saved in 'Z.index'. Therefore, one can link to the rows in 'x.factor' to calculate the weights 'ck'.
The needed values are saved in the environment.