Frédéric Ouimet

collaborators

3 papers

stat.OT2020

Explicit formulas for the joint third and fourth central moments of the multinomial distribution

Frédéric Ouimet

We give the first explicit formulas for the joint third and fourth central moments of the multinomial distribution, by differentiating the moment generating function. A general for…

math.PR2019

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ on the critical line

Louis-Pierre Arguin, Frédéric Ouimet, Christian Webb

In this short note, we study the derivatives of all orders for the random field $X_{T} (h) = p \leq T \sum \frac{Re ( U _{p} p ^{- ih} )}{p ^{1/2}}, h \in [0, 1],$ where $…

math.CA2019

Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients

Frédéric Ouimet

For $m, n \in N$ , let $0 < α_{i}, β_{j}, λ_{ij} \leq 1$ be such that $\sum_{j = 1}^{n} λ_{ij} = α_{i}$ , $\sum_{i = 1}^{m} λ_{ij} = β_{j}$ , and $\sum_{i = 1}^{m} α_{i} = \sum_{j = 1}^{n} β_{j} \leq 1$ . We…

Explicit formulas for the joint third and fourth central moments of the multinomial distribution

Discretization of the maximum for the derivatives of a random model of log∣ζ∣ on the critical line

Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ on the critical line