Gamma convolution models for self-diffusion coefficient distributions in PGSE NMR
We introduce a closed-form signal attenuation model for pulsed-field gradient spin echo
(PGSE) NMR based on self-diffusion coefficient distributions that are convolutions of n
gamma distributions, n⩾ 1. Gamma convolutions provide a general class of uni-modal
distributions that includes the gamma distribution as a special case for n= 1 and the
lognormal distribution among others as limit cases when n approaches infinity. We
demonstrate the usefulness of the gamma convolution model by simulations and …
(PGSE) NMR based on self-diffusion coefficient distributions that are convolutions of n
gamma distributions, n⩾ 1. Gamma convolutions provide a general class of uni-modal
distributions that includes the gamma distribution as a special case for n= 1 and the
lognormal distribution among others as limit cases when n approaches infinity. We
demonstrate the usefulness of the gamma convolution model by simulations and …
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