Rockwell Automation Arena Basic Edition Users Guide - Manual (Page 78)

A RENA B ASIC E DITION U SER ’ S G UIDE
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Poisson(
λ
)POISSON(Mean) or POIS(Mean)
The mean ( λ ) specified as a positive real number.
{0, 1, . . .}
λ
λ
The Poisson distribution is a discrete distribution that is often used to model the number
of random events occurring in a fixed interval of time. If the time between successive
events is exponentially distributed, then the number of events that occur in a fixed-time
interval has a Poisson distribution. The Poisson distribution is also used to model random
batch sizes.
Probability
Mass
Function
p(x)=
e
λ –
λ
x
x!
------------- for x
ε {0, 1, ...}
0 otherwise
Parameters
Range
Mean
Variance
Applications