Mixture Criterion Ifc
A criterion by which fitted mixtures are ranked.
Implementations must obtain the number of free parameters from the candidate rather than from an assembled mixture distribution. The library's mixture distribution reports one parameter per mixing weight, but only one fewer than that number are free, so reading the count from the assembled distribution overstates the dimension.
Implementations must also screen the log-likelihood for finiteness before using it. The library's information criterion helpers reject a non-finite log-likelihood by throwing, and a mixture produces one routinely: whenever a component assigns zero density to an observation it was not fitted to. Turning an expected modelling outcome into an exception mid-experiment is not acceptable, so the value is bounded and marked incomparable instead.