discreteUniformPdf¶

Evaluates the discrete uniform probability density function (PDF).

Synopsis¶

discreteUniformPdf(ix, n)

Required Arguments¶

int ix (Input): Argument for which the discrete uniform PDF is to be evaluated. ix must be positive.
int n (Input): Scale parameter. n must be positive.

Return Value¶

The probability that a random variable from a discrete uniform distribution with scale parameter n will be equal to ix. A value of NaN is returned if an input value is in error.

Description¶

The function discreteUniformPdf evaluates the discrete uniform probability density function (PDF) with scale parameter n, defined

\[p = f(I|N) = \frac{1}{N}, \phantom{...} 1 \leq I \leq N\]

where I = ix and N = n. As a convenience to the user, discreteUniformPdf accepts values of \(I>N\), returning \(p= 0\). discreteUniformPdf returns an error message for values of \(I\leq 0\).

Example¶

In this example, we evaluate the discrete uniform PDF at ix = 3, n = 5.

from __future__ import print_function
from numpy import *
from pyimsl.stat.discreteUniformPdf import discreteUniformPdf

ix = 3
n = 5

p = discreteUniformPdf(ix, n)
print("The probability density of a discrete uniform")
print("random variable with scale parameter n = %1i" % n)
print("and value ix = %1i is %6.4f" % (ix, p))

Output¶

The probability density of a discrete uniform
random variable with scale parameter n = 5
and value ix = 3 is 0.2000