Mellin Transform Applied to Uncertainty Analysis
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. This 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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