We describe a mean-field theory applicable to nanostructured systems of sin
gle-domain magnetic particles. This theory provides expressions for the exp
erimental determination of the easy-axis distribution and the interaction s
trength at remanence from measurements of the angular dependence of the max
imum remanences parallel and perpendicular to the applied field. We have ap
plied the model to barium ferrite tapes providing a suitable quantitative e
xplanation for the difference experimentally observed between remanences, w
hich could not be explained until now. The magnetocrystalline anisotropy st
rength of the nanoparticle is also determined. The values of the distributi
on function, the interaction parameter, and the magnetocrystalline anisotro
py predicted by our model are in agreement with the results obtained by oth
er methods.