This article proposes an alternative technique in interpreting seismically thin-bed structure. The technique involved stochastic inversion which use frequency domain seismic attribute as a constrain instead of time domain seismic amplitude. Maximum Amplitude Weighed Integrated Energy Spectra is proposed energy spectral attribute to be used to constrain the stochastic process. The new attribute is obtained by multiplying integrated energy spectra with maximum amplitude of a seismic trace. It is found that Maximum Amplitude Weighed Integrated Energy Spectra provides a more separable signature in responding bed thickness changes than seismic signature. The Maximum Amplitude Weighed Integrated Energy Spectra low degree of ambiguity in sensing thin-bed seismic is a potential to increase the vertical resolution and reduce of thin bed interpretation uncertainty as well. This article incorporates the maximum amplitude weighed integrated energy spectra with a stochastic seismic inversion. Signature of maximum amplitude weighted energy spectra is used to constrain the degree of match (likelihood) between seismic model and data. An inversion of near and far stack of a Malay Basin's seismic confirm that AVO attribute is better calculated after the seismic are inverted to reflection coefficient volume rather than calculated from original amplitude.