statistics v0.4.0 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
Functions
Get the probability that a value lies below k
Probability mass function
The percentile-point function
Draw a random number from this distribution
Functions
Specs
cdf(number) :: (... -> any)
Get the probability that a value lies below k
Examples
iex> Statistics.Distributions.Poisson.cdf(1).(1) 0.73575888234288467
Specs
pmf(number) :: (... -> any)
Probability mass function
Examples
iex> Statistics.Distributions.Poisson.pmf(1).(1)
0.36787944117144233
Specs
ppf(number) :: (... -> any)
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(1).(0.95)
3.0