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Diffusion MRI is a non-invasive imaging technique that allows the measurement of water molecular diffusion through tissue in vivo. In this paper, we present a novel statistical model which describes the diffusion-attenuated MR signal by the Laplace transform of a probability distribution over symmetric positive definite matrices. Using this new model, we analytically derive a Rigaut-type asymptotic fractal law for the MR signal decay which has been phenomenologically used before. We alsodoi:10.1109/isbi.2007.356966 pmid:19936041 pmcid:PMC2779041 dblp:conf/isbi/JianVOCM07 fatcat:bkdggj3b2jg3pocah5ew4knd4i