ikr.simlib.distributions.continuous.transform

## Class SlottedDistribution

• All Implemented Interfaces:
ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

public class SlottedDistribution
extends ContinuousDistribution
Continuous Distribution with a Discrete Value Range
Meaning: Distribution of a real random variable $$T = d \cdot N$$, whereby $$N$$ represents an arbitrarily distributed discrete random variable and $$d$$ the scale factor. Main application is the description of a cell distance in a time slot system e.g., on an ATM link. In this case $$d$$ is the time slot duration. A special case of the compound distribution with a constant "inner distribution". scale factor/time slot duration $$d$$ discrete distribution $$p_i$$ of $$N$$ / the number of time slots $$P(T=t) = f(t) = \sum\limits_{n=0}^{\infty} p_n \cdot \delta (t-nd)$$ $$E[T] = E[N] \cdot d$$ $$VAR[T]= VAR[N] \cdot d^2$$ $$c_T = c_N$$ $$\phi(s) = H(exp(-sd))$$ , if $$H(z)$$ represents the generating function of $$N$$ [...].Distribution = SlottedDistribution [...].Distribution.SlotDuration = 1.5 [...].Distribution.NoOfSlotsDist = Geometric [...].Distribution.NoOfSlotsDist.Mean = 9