pcbinom: A continuous version of the binomial cdf
In Smisc: Sego Miscellaneous

Description Usage Arguments Details Value Note Author(s) See Also Examples

Uses the incomplete beta function to calculate a continuous version of the binomial cumulative distribution function.

1	pcbinom(x, n, p, lower.tail = TRUE, log.p = FALSE)

`x`	Real valued vector of the number of successes.
`n`	Real valued vector, all elements in `[0, Inf)`, of the number of trials.
`p`	Real valued vector, all elements in `[0,1]`, of the probability of success.
`lower.tail`	logical; if `TRUE`, the probabilities are `P[X <= x]`, otherwise, `P[X > x]`.
`log.p`	logical; if `TRUE`, probabilities `p` are returned as `log(p)`.

pcbinom is equivalent to pbinom for integer values of n and x.

Note that pcbinom does not recycle vectors in the usual fashion. Each of the arguments x, n, and p should have the same length, or, one or more of them can have the same length, so long as the other arguments have length 1. See examples below.

Returns a continuous version of the binomial distribution function.

This function was based on binom.c in the R source code.

Landon Sego

pbinom, pbeta

x <- c(  2,   3,   5, 5.2,   5)
n <- c(  4,   5,   7,   7, 7.2)
p <- c(0.2, 0.1, 0.8, 0.8, 0.7)

pcbinom(x, n, p)
pbinom(x, n, p)

# These will work
pcbinom(c(7.3, 7.8), 12, 0.7)
pcbinom(c(7.3, 7.8), c(12,13), 0.7)
pcbinom(12.1, c(14.2,14.3), 0.6)

# But these won't
try(pcbinom(c(7.3, 7.8), c(12, 14, 16), 0.7))
try(pcbinom(c(7.3, 7.8), c(12, 14, 16), c(0.7, 0.8)))