  Fitting mixture distributions is needed in applications where data belongs to
inhomogeneous populations comprising homogeneous sub-populations. The mixing
proportions of the sub populations are in general unknown and need to be
estimated as well. A goodness of fit test based on the empirical distribution
function is proposed for assessing the goodness of fit in model fits comprising
two components, each distributed as two parameter Weibull. The applicability of
the proposed test procedure was empirically established using a Monte Carlo
simulation study. The proposed test procedure can be easily altered to handle
two component mixtures with different component distributions.
