random.PoissonBinomial: Draw a random sample from a PoissonBinomial distribution

In distributions3: Probability Distributions as S3 Objects

Draw a random sample from a PoissonBinomial distribution

Description

Draw a random sample from a PoissonBinomial distribution

Usage

## S3 method for class 'PoissonBinomial'
random(x, n = 1L, drop = TRUE, ...)

Arguments

x	A PoissonBinomial object created by a call to PoissonBinomial().
n	The number of samples to draw. Defaults to 1L.
drop	logical. Should the result be simplified to a vector if possible?
...	Unused. Unevaluated arguments will generate a warning to catch mispellings or other possible errors.

Value

Integers containing values between 0 and x$size. In case of a single distribution object or n = 1, either a numeric vector of length n (if drop = TRUE, default) or a matrix with n columns (if drop = FALSE).

Examples

set.seed(27)

X <- PoissonBinomial(0.5, 0.3, 0.8)
X

mean(X)
variance(X)
skewness(X)
kurtosis(X)

random(X, 10)

pdf(X, 2)
log_pdf(X, 2)

cdf(X, 2)
quantile(X, 0.8)

cdf(X, quantile(X, 0.8))
quantile(X, cdf(X, 2))

## equivalent definitions of four Poisson binomial distributions
## each summing up three Bernoulli probabilities
p <- cbind(
  p1 = c(0.1, 0.2, 0.1, 0.2),
  p2 = c(0.5, 0.5, 0.5, 0.5),
  p3 = c(0.8, 0.7, 0.9, 0.8))
PoissonBinomial(p)
PoissonBinomial(p[, 1], p[, 2], p[, 3])
PoissonBinomial(p[, 1:2], p[, 3])

distributions3 documentation built on Sept. 30, 2024, 9:37 a.m.