Diffusion-Based Semi-Infinite Fourier Probability Distribution
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A multitude of natural processes occuring in environmental and water resources are diffusive processes, and their observations exhibit a natural lower bound of zero and practically no upper bound. Such processes can be modeled using a dye diffusion equation whose solution yields a concentration distribution. This function, when normalized, leads to a two-parameter probability distribution that is seen to be a superposition of two normal distributions. Parameters of this distribution were estimated by the methods of moments and maximum likelihood for Monte Carlo-generated processes.
author list (cited authors)
Adrian, D. D., Singh, V. P., & Deng, Z.