Number Generator - Log Pearson Type III Distribution
Log Pearson Type III distribution is commonly used in hydraulic
studies. It is somehow similar to normal distribution, except instead
of two parameters, stanand deviation and mean, it also has skew.
When the skew is small, Log Pearson Type III distribution approximates
The following example shows input and output from 3 simulations.
Each has the same mean and standard deviation, but with different
skew. The objective is to show the change in the distribution
when skew changes. All three simulations have 10,000 iterations
and alpha of 5% (for 1 tail test).
output shows the estimate of skewness, mean, stand deviation, maximum
value, minimum value, lower confidence interval, and upper confidence
interval from each of the 3 simulations (these returned estimates can
be used to check it the random numbers generator works the way it is
instructed to do).
following shows the charts generated from the 3 simulations. The
charts show as skew decreases, the distribution becomes more normal.
* Complete program (with open source
codes) available in Package Set 2 and the Combo Package.