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Distributacalcul (version 0.4.0)

unifDiscr: 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)

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.

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

Examples

Run this code
pUnifD(q = 0.2, min = 0, max = 1)

dUnifD(min = 0, max = 1)

varUnifD(min = 0, max = 1)

expValUnifD(min = 0, max = 1)

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