Frédéric Ouimet

activity

20152026

most citedAsymptotic properties of Dirichlet kernel density estimators

26 citations · 305 across the 66 of their papers we have counts for

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Showing 2018 · math.PRShow all

3 papers · 2 filters

math.PR2018★ 2 cited

Large deviations and continuity estimates for the derivative of a random model of $lo g ∣ ζ ∣$ on the critical line

Louis-Pierre Arguin, Frédéric Ouimet

In this paper, we study the random field \begin{equation*} X(h) \circeq \sum_{p \leq T} \frac{\text{Re}(U_p \, p^{-i h})}{p^{1/2}}, \quad h\in [0,1], \end{equation*} where $(U_p, \…

math.PR2018★ 3 cited

A uniform $L^{1}$ law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator

Pierre Lafaye de Micheaux, Frédéric Ouimet

We develop a new $L^{1}$ law of large numbers where the $i$ -th summand is given by a function $h (\cdot)$ evaluated at $X_{i} - θ_{n}$ , and where $θ_{n} ≗ θ_{n} (X_{1}, X_{2}, \dots, X_{n})$ is…

math.PR2018★ 24 cited

Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex

Frédéric Ouimet

Let $d \in N$ and let $γ_{i} \in [0, \infty)$ , $x_{i} \in (0, 1)$ be such that $\sum_{i = 1}^{d + 1} γ_{i} = M \in (0, \infty)$ and $\sum_{i = 1}^{d + 1} x_{i} = 1$ . We prove that \begin{equatio…

Large deviations and continuity estimates for the derivative of a random model of log∣ζ∣ on the critical line

A uniform L1 law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator

Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex

Large deviations and continuity estimates for the derivative of a random model of $lo g ∣ ζ ∣$ on the critical line

A uniform $L^{1}$ law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator