Diffusion-Based Semi-Infinite Fourier Probability Distribution Academic Article uri icon


  • 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.

published proceedings

  • Journal of Hydrologic Engineering

author list (cited authors)

  • Adrian, D. D., Singh, V. P., & Deng, Z.

citation count

  • 2

complete list of authors

  • Adrian, Donald Dean||Singh, Vijay P||Deng, Zhi-Qiang

publication date

  • March 2002