Truncated binomial distribution
Density, distribution function, quantile function and random generation for the truncated binomial distribution.
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)
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 ( |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x] otherwise, P[X > x]. |
p |
vector of probabilities. |
n |
number of observations. If |
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)
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