Multinomial distribution
Probability mass function and random generation for the multinomial distribution.
dmnom(x, size, prob, log = FALSE) rmnom(n, size, prob)
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 |
Probability mass function
f(x) = n!/prod(x[i]!) * prod(p[i]^x[i])
Gentle, J.E. (2006). Random number generation and Monte Carlo methods. Springer.
# 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)))
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