We introduce a new algorithm to compute the difference between values of the $\log\Gamma$-function in close points, where $\Gamma$ denotes Euler's gamma function. As a consequence, we obtain a way of computing the Dirichlet-multinomial log-likelihood function which is more accurate, has a better computational complexity and a wider range of application than the previously known ones.
On the fast computation of the Dirichlet-multinomial log-likelihood function
Alessandro Languasco
;Mauro Migliardi
2023
Abstract
We introduce a new algorithm to compute the difference between values of the $\log\Gamma$-function in close points, where $\Gamma$ denotes Euler's gamma function. As a consequence, we obtain a way of computing the Dirichlet-multinomial log-likelihood function which is more accurate, has a better computational complexity and a wider range of application than the previously known ones.
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