unifDiscr: Discrete Uniform Distribution

In Distributacalcul: Probability Distribution Functions

Discrete Uniform Distribution

Description

Discrete uniform distribution with min a and max b.

Usage

pUnifD(q, min = 0, max = 1)

dUnifD(x, min = 0, max = 1)

varUnifD(min = 0, max = 1)

expValUnifD(min = 0, max = 1)

Arguments

min, max	lower and upper limits of the distribution. Must be finite.
x, q	vector of quantiles.

Details

The (discrete) uniform distribution with min and max parameters a and b respectively has density:

\textrm{Pr}\left(X = x \right) = \frac{1}{b - a + 1}

for x \in \{a, a + 1, \dots, b - 1, b\}.

Value

Function :

• dUnifD gives the probability density function (PDF).

• pUnifD gives the cumulative density function (CDF).

• expValUnifD gives the expected value.

• varUnifD gives the variance.

Invalid parameter values will return an error detailing which parameter is problematic.

Examples

pUnifD(q = 0.2, min = 0, max = 1)

dUnifD(min = 0, max = 1)

varUnifD(min = 0, max = 1)

expValUnifD(min = 0, max = 1)

Distributacalcul documentation built on May 29, 2024, 9:25 a.m.