The principles of analysis of traditional polydisperse models of random structures of composites are extended to polydisperse models with composite or hollow inclusions. The given minimal guaranteed layer of matrix between inclusions is taken into account. We present the piecewise-constant approximation of averaged indicator functions of generalized method of self-consistency, which corresponds to such polydisperse models. Exact analytic relationships are obtained and analysis of numerical results for effective elastic characteristics of polydisperse spheroplastic and unidirectional fiber composite is done.