TruncBinom: Truncated binomial distribution

In extraDistr: Additional Univariate and Multivariate Distributions

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)

extraDistr documentation built on May 29, 2024, 9:31 a.m.