  In this paper, a recently developed numerical method to analyze
dielectric-spectroscopy data is applied to $\alpha$-phase polyvinylidene
fluoride (PVDF). The numerical procedure is non-parametric and does not contain
any of the extensively used empirical formulas mentioned in the literature. The
method basically recovers the unknown distribution of relaxation times of the
generalized dielectric function representation by simultaneous application of
the Monte Carlo integration method and of the constrained least-squares
optimization. The relaxation map constructed after the numerical analysis is
compared to $\alpha$-phase PVDF data presented in the literature and results of
the parametric analysis with a well-known empirical formula.
