List of Discrete Distributions 1D

The following is a list of all 1D discrete distributions currently available in UQpy.

Binomial

Binomial distribution having probability mass function:

\[f(x) = {n \choose x} p^x(1-p)^{n-x}\]

for \(x \in \{0, 1, 2, ..., n\}\).

In this standard form \((loc=0)\). Use loc to shift the distribution. Specifically, this is equivalent to computing \(f(y)\) where \(y=x-loc\).

The Binomial class is imported using the following command:

>>> from UQpy.distributions.collection.Binomial import Binomial

class Binomial(n, p, loc=0.0)[source]

Parameters:

n (Optional[int]) – number of trials, integer \(\ge 0\)
p (Union[None, float, int]) – success probability for each trial, real number in \([0, 1]\).
loc (Union[None, float, int]) – location parameter

Poisson distribution having probability mass function:

\[f(x) = \exp{(-\mu)}\dfrac{\mu^k}{k!}\]

for \(x\ge 0\).

In this standard form \((loc=0)\). Use loc to shift the distribution. Specifically, this is equivalent to computing \(f(y)\) where \(y=x-loc\).

The Poisson class is imported using the following command:

>>> from UQpy.distributions.collection.Poisson import Poisson

class Poisson(mu, loc=0.0)[source]

Parameters: