We report the experimental observation of the broadening of the freque
ncy spectra of parametrically generated second sound waves by first so
und in superfluid He-4. The first experimental evidence of Gaussian st
atistics of amplitudes of parametrically generated waves is presented.
Using the kinetic theory of parametric excitation we suggest that the
broadening and exponential tails of spectra result from four-wave res
onance interaction in a close analogy with similar-evidence in paramet
rically generated spin waves. Universality of the exponential tails in
the frequency spectra is suggested.