extraDistr (version 1.9.1)

TruncBinom: Truncated binomial distribution

Description

Density, distribution function, quantile function and random generation for the truncated binomial distribution.

Usage

dtbinom(x, size, prob, a = -Inf, b = Inf, log = FALSE)
ptbinom(q, size, prob, a = -Inf, b = Inf, lower.tail = TRUE, log.p = FALSE)
qtbinom(p, size, prob, a = -Inf, b = Inf, lower.tail = TRUE, log.p = FALSE)
rtbinom(n, size, prob, a = -Inf, b = Inf)

Arguments

x, q

vector of quantiles.

size

number of trials (zero or more).

prob

probability of success on each trial.

a, b

lower and upper truncation points (a < x <= b).

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.

Examples

x <- rtbinom(1e5, 100, 0.83, 76, 86)
xx <- seq(0, 100)
plot(prop.table(table(x)))
lines(xx, dtbinom(xx, 100, 0.83, 76, 86), col = "red")
hist(ptbinom(x, 100, 0.83, 76, 86))

xx <- seq(0, 100, by = 0.01)
plot(ecdf(x))
lines(xx, ptbinom(xx, 100, 0.83, 76, 86), col = "red", lwd = 2)
uu <- seq(0, 1, by = 0.001)
lines(qtbinom(uu, 100, 0.83, 76, 86), uu, col = "blue", lty = 2)