DiscreteUniform function

Discrete uniform distribution

Probability mass function, distribution function, quantile function and random generation for the discrete uniform distribution.

ddunif(x, min, max, log = FALSE)

pdunif(q, min, max, lower.tail = TRUE, log.p = FALSE)

qdunif(p, min, max, lower.tail = TRUE, log.p = FALSE)

rdunif(n, min, max)

Arguments

• x, q: vector of quantiles.

• min, max: lower and upper limits of the distribution. Must be finite.

• log, log.p: logical; if TRUE, probabilities p are given as log(p).

• lower.tail: logical; if TRUE (default), probabilities are $P[X \le x]$

  otherwise, $P[X > x]$.

• p: vector of probabilities.

• n: number of observations. If length(n) > 1, the length is taken to be the number required.

Details

If min == max, then discrete uniform distribution is a degenerate distribution.

Examples

x <- rdunif(1e5, 1, 10) 
xx <- -1:11
plot(prop.table(table(x)), type = "h")
lines(xx, ddunif(xx, 1, 10), col = "red")
hist(pdunif(x, 1, 10))
xx <- seq(-1, 11, by = 0.01)
plot(ecdf(x))
lines(xx, pdunif(xx, 1, 10), col = "red")