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In this paper we discuss the line shapes of a two-level atom in the presence of broad-band squeezed vacuum and collisional broadening. We describe the collisions and the squeezed vacuum using a stochastic model of Rabi amplitude fluctuations. From such a stochastic description the fast and the slow damping rates of the Bloch polarizations are obtained. The strong field resonance fluorescence spectrum in the presence of stochastic broad-band squeezed vacuum and collisions is derived.