Home
Products
Support
Blog
Resources
Company
NMath Stats User's Guide
TOC |  Previous |  Next |  Index

5.4 Poisson Distribution

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.

TOC |  Previous |  Next |  Index

Copyright © 2008 CenterSpace Software, LLC. All rights reserved.
All trademarks and registered trademarks mentioned on this web site are the property of their respective owners.
Contact Webmaster