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Background Modules for ChE473K Process Design and Operations at the University of Texas at Austin Gerald G. McGlamery, Jr., Ph.D., P.E. |
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The Triangular Distribution The triangular distribution is a simple distribution that has no real source in nature. It is most, if not exclusively, useful for stochastic modeling rather than statistical analysis because of its artificial nature. It is a three-parameter distribution described by two zero-probability endpoints and a most probable point (mode). The intensity of the mode can be proven to be
The triangular PDF and CDF are shown below, respectively:
In stochastic modeling, the triangular distribution is best used to model variables with both upper and lower bounds near the range of interest. The distribution does not need to be, and frequently is not, symmetric. |
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All Material © 2001–2010
Gerald G. McGlamery, Jr. |
