The stochastically assignment uses the following distribution functions:
Normal distribution
The normal distribution has the density function:
Input values for the generation of normally distributed values (x) are:
σ = Standard deviation
σ2 = Variance
µ = Mean value
Density function for nearly 18,000 generated values using a normal distribution
Log-normal distribution
In the log-normal distribution the logarithm of the generated values is normally distributed:
Input values for the generation of log-normally distributed values (x > 0) are:
σ = Standard deviation
σ2 = Variance
µ = Mean value
Density function for nearly 18,000 generated values using a log-normal distribution
Exponential distribution (uncorrelated generation only)
The exponential distribution has for x > 0 the density function:
Input value for the generation of exponential distributed values x > 0 is the mean value μ.
Density function for nearly 18,000 generated values using an exponential distribution