  In this work, we investigate how the anisotropy affects the cosmological
parameters estimation. Here the anisotropy is incorporated as a small
gravitational disturbance. We calculate the Fisher information for both
cosmological parameters $\epsilon$ (expansion volume) and $\rho$ (expansion
rate), and we show that the anisotropy introduces oscillations in the Fisher
information spectrum. This implies that the estimation of the cosmological
parameters is sensible to the direction of the momentum $k$ of particles. In
addition, we observe that for small values of the momentum $k$ there is a
substantial difference between the Fisher information spectrum for the minimum
and conformal couplings.
