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In the recently proposed two-parameter μ˜,q-deformed Bose gas model (Gavrilik and Mishchenko, 2013) [3], aimed to take effectively into account both compositeness of particles and their interaction, the μ˜,q-deformed virial expansion of the equation of state (EOS) was obtained. In this paper we further explore the μ˜,q-deformation, namely the version of μ˜,q-Bose gas model involving deformed distributions and correlation functions. In the model, we explicitly derive the one- and two-particle deformed distribution functions and the intercept of two-particle momentum correlation function. The results are illustrated by plots, and the comparison with known experimental data on two-pion correlation function intercepts extracted in RHIC/STAR experiments is given.