The paper proposes a group of new distributions for interferometric magnitude and their corresponding parameter estimators.Firstly

under the frame of multiplicative model

based on the complex Wishart distribution

and bringing in the theory of clutter classification brought forward by Frery et al.

the new interferometric magnitudes statistical models are deduced according to utilizing the reciprocal of a square root of Gamma and the square root of generalized inverse Gaussian law.The group of new models can precisely model the interferometric magnitude corresponding to different clutter areas with broad degrees of homogeneity

and they achieve the unification of the statistical distributions for single-channel SAR images and multi-channel SAR interferometric magnitude.Secondly

The new models' estimators are acquired based on the Mellin transform which can estimate the contained parameters quickly and accurately

guaranteeing the new distributions' fitting precision.According to the experiments performed on the real spaceborne SAR image

using the Kullback-Leibler (KL) distance

mean square error (MSE) and Kolmogorov-Smirnov (KS) test as similarity measurements

the experimental results show the effectiveness of the proposed models and estimators.