Mellin Transform Applied to Uncertainty Analysis in Hydrology/Hydraulics
Publication: Journal of Hydraulic Engineering
Volume 116, Issue 5
Abstract
In hydraulic and hydrologic design and analysis, engineers frequently face uncertainties involving quantities that cannot be assessed with absolute accuracy. Under such circumstances, uncertainty analysis is undertaken to examine the effects of uncertain factors on the results of design and analysis. The paper introduces a mathematical technique called the Mellin transform. The technique is analytically convenient in determining the exact statistical moments of a random variable that is a function of several nonnegative independent random variables in a multiplicative form. Two examples are given to demonstrate the application of the Mellin transform to uncertainty analysis of hydrologic and hydraulic problems.
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Information
Published In
Journal of Hydraulic Engineering
Volume 116 • Issue 5 • May 1990
Pages: 659 - 674
Copyright
Copyright © 1990 ASCE.
History
Published online: May 1, 1990
Published in print: May 1990
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