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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3346946
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