Class PoissonDistribution represents a poisson distribution with a specified
parameter, which is both the mean and the variance of the distribution. The poisson distribution is the probability of obtaining exactly n successes in N trials. It is often used as a model for the number of events in a specific time period. Poisson (1837) showed that the Poisson distribution is the limiting case of a binomial distribution where N approaches infinity and p goes to zero while
. The distribution function for the Poisson distribution is:
For example, this code constructs a PoissonDistribution:
double lambda = 150; PoissonDistribution poisson = new PoissonDistribution( lambda );
The Mean and Variance properties inherited from IRandomVariableMoments can also be used to get and set
after construction:
poisson.Mean = 3;
Once you have constructed a PoissonDistribution object, you can query it for the PDF, CDF, inverse CDF, and random variable moments, as described in Section 5.1.
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