Statistics.Distributions.Poisson

The Poisson distribution is a discrete probablility distribution.

It models the probability of a given number of events occurring in a fixed interval if the events occur with a known average rate and are independent of the previous event.

Summary

cdf(k, lambda)

Get the probability that a value lies below k

pmf(k, lambda)

Probability mass function

ppf(x, lambda)

The percentile-point function

rand(lambda)

Draw a random number from this distribution

Functions

cdf(k, lambda)

Get the probability that a value lies below k

Examples

iex> Statistics.Distributions.Poisson.cdf(1, 1) 0.73575888234288467

pmf(k, lambda)

Probability mass function

Examples

iex> Statistics.Distributions.Poisson.pmf(1,1)
0.36787944117144233
ppf(x, lambda)

The percentile-point function

Get the maximum point which lies below the given probability. This is the inverse of the cdf and will take only positive integer values (but returns a float)

Examples

iex> Statistics.Distributions.Poisson.ppf(0.95, 1)
3.0
rand(lambda)

Draw a random number from this distribution

This is a discrete distribution and the values it can take are positive integers.

Examples

iex> Statistics.Distributions.Poisson.rand(1)
1.0