discreteUniformCdf¶

Evaluates the discrete uniform cumulative distribution function (CDF).

Synopsis¶

discreteUniformCdf(ix, n)

Required Arguments¶

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

Return Value¶

The probability that a discrete uniform random variable takes a value less than or equal to ix. A value of NaN is returned if an input value is in error.

Description¶

The function discreteUniformCdf evaluates the discrete uniform cumulative distribution function (CDF) with scale parameter n, defined

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

where I = ix and N = n.

Example¶

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

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

ix = 3
n = 5

p = discreteUniformCdf(ix, n)
print("The probability that a discrete uniform random variable")
print("with scale parameter n = %1i is less than " % n)
print("or equal to %i is %6.4f" % (ix, p))

Output¶

The probability that a discrete uniform random variable
with scale parameter n = 5 is less than 
or equal to 3 is 0.6000