Number Generator - Gamma Distribution
Gamma distribution is most often used to describe the distribution
of the amount of time until the nth occurrence of an event in a Poisson
process. For example, customer service or machine repair.
distribution is related to many other distributions. For example,
a Gamma distribution has an alpha of 1, Gamma(1, b), it becomes an
Exponential distribution with scale parameter of b, Expo(b). And
Chi-Square distribution with k df is the same as the Gamma(k/2, 2)
The following example shows input and output from 3 simulations.
Gamma(1,1), Gamma(2,1), and Gamma(3,1). All three simulations
have 50,000 iterations and alpha of 5% (for 1 tail test).
The output shows the estimate of skew level, mean,
stand deviation, maximum value, minimum value, lower confidence
interval, and upper confidence interval from each of the 3
simulations. The skew levels decreases as the scale parameter, b,
increases. All three means approximate the product of a and b.
The following shows the charts generated
from the 3 simulations.
* Complete program (with open source
codes) available in Package Set 2 and the Combo Package.