Multinomial function

Multinomial distribution

Probability mass function and random generation for the multinomial distribution.

dmnom(x, size, prob, log = FALSE)

rmnom(n, size, prob)

Arguments

• x: $k$-column matrix of quantiles.
• size: numeric vector; number of trials (zero or more).
• prob: $k$-column numeric matrix; probability of success on each trial.
• log: logical; if TRUE, probabilities p are given as log(p).
• n: number of observations. If length(n) > 1, the length is taken to be the number required.

Details

Probability mass function

Examples

# Generating 10 random draws from multinomial distribution
# parametrized using a vector

(x <- rmnom(10, 3, c(1/3, 1/3, 1/3)))

# Results are consistent with dmultinom() from stats:

all.equal(dmultinom(x[1,], 3, c(1/3, 1/3, 1/3)),
          dmnom(x[1, , drop = FALSE], 3, c(1/3, 1/3, 1/3)))

References

Gentle, J.E. (2006). Random number generation and Monte Carlo methods. Springer.

See Also

Binomial, Multinomial