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 |
pmf(k, lambda) | Probability mass function |
ppf(x, lambda) | The percentile-point function |
rand(lambda) | Draw a random number from this distribution |
Functions
Get the probability that a value lies below k
Examples
iex> Statistics.Distributions.Poisson.cdf(1, 1) 0.73575888234288467
Probability mass function
Examples
iex> Statistics.Distributions.Poisson.pmf(1,1)
0.36787944117144233
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