Diffusion-Based Semi-Infinite Fourier Probability Distribution
Publication: Journal of Hydrologic Engineering
Volume 7, Issue 2
Abstract
A multitude of natural processes occurring 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.
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References
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Published In
Journal of Hydrologic Engineering
Volume 7 • Issue 2 • March 2002
Pages: 154 - 167
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: May 2, 2001
Accepted: Aug 24, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002
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