multinomial | R Documentation |
The multinomial function and its logarithm
multinomial(x)
lmultinomial(x)
x |
Numeric vector |
Function multinomial()
returns
n\choose n_1,n_2,...,n_k = \fracn!n_1!n_2!\cdots n_k!omitted; see PDF
where \mjeqn\sum_i n_i=nn_1+...+n_k=n, and function
lmultinomial()
returns the natural logarithm of this.
Uses logarithmic functions to avoid overflow.
Robin K. S. Hankin
x <- runif(10)
exp(lmultinomial(x)) - multinomial(x) #should be small
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