A convenient statistical approach is presented to derive the molecular parameters of hyperbranched polymers made by \(\:{\text{A}\text{B}}_{g}\) monomers and \(\:{\text{C}}_{f}\) cores. Using statistical methods, explicit expressions for the average number of subchains with definite monomer sequences on the polymer skeleton are provided. General theoretical correlations between the subchains and molecular parameters, including the average molecular weight, the mean-square radius of gyration, and the particle scattering factor, are established. Utilizing the average number of subchains, explicit expressions for the molecular parameters of hyperbranched polymers are obtained. As an application, the characteristics of the average molecular weight, the z-average mean-square radius of gyration and the z-average particle scattering factor were examined under various conditions. The results demonstrate that related factors such as monomer mass, reactivity parameter, and functionality have significant impacts on the molecular and conformational characteristics of hyperbranched polymers.
