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We study the statistics of local field distribution solved by theGreen's-function formalism (GFF) [Y. Gu et al., Phys. Rev. B {\bf 59} 12847(1999)] in the disordered binary resonant composites. For a percolatingnetwork, the inverse participation ratios (IPR) with $q=2$ are illustrated, aswell as the typical local field distributions of localized and extended states.Numerical calculations indicate that for a definite fraction $p $ thedistribution function of IPR $P_q$ has a scale invariant form. It is also shownthe scaling behavior of the ensemble averaged $<P_{q}>$ described by thefractal dimension $D_q$. To relate the eigenvectors correlations to resonancelevel statistics, the axial symmetry between $D_2$ and the spectralcompressibility $\chi$ is obtained.Comment: 7 pages, 6 figures, accepted by Physical Review

Fluctuations and scaling of inverse participation ratios in random binary resonant composites