Top: probability density functions (PDF) for the unsigned longitudinal B^L (dashed and dot-dashed curves) and the unsigned vertical B_Z (solid curve) components of the magnetic field vector in the 3D snapshot model of Rempel (2014). Bottom: same but for the transverse B^T and the horizontal B_XY components of the magnetic field. The B^L and B^T values have been inferred from the unsmeared Stokes signals at the blue wing of the Si I 10 827 Å line using the weak field approximation. Dashed and dot-dashed curves correspond to the noise-free and the noisy Stokes profiles, respectively. The B_Z and B_XY values are, respectively, the vertical and horizontal components of the magnetic field of the model taken at the corrugated surface of optical depth τ_Δλ = 1, where Δλ is the wavelength location of the intensity derivative peaks in the blue wing of the Si I 10 827 Å line.