# Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution

@inproceedings{Ouimet2021LogarithmicallyCM, title={Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution}, author={Fr{\'e}d{\'e}ric Ouimet and Feng Qi}, year={2021} }

Recall from (Mitrinović et al., 1993, Chapter XIII), (Schilling et al., 2012, Chapter 1), and (Widder, 1941, Chapter IV), that an infinitely differentiable function f is said to be completely monotonic on an interval I if it has derivatives of all orders on I and satisfies (−1)nf (n)(x) ≥ 0 for all x ∈ I and n ∈ N0 = {0, 1, 2, . . . }. Recall from (Qi & Chen, 2004, Definition 1) and (Schilling et al., 2012, Definition 5.10 and Comments 5.29) that an infinitely differentiable and positive…

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