Frédéric Ouimet

Page personnelle

Postes de professeur
[1] Professeur — UQTR — depuis 2025/06

Postes de chercheur
[6] Stagiaire postdoctoral — Université de Sherbrooke — 2024/10 à 2025/05
[5] Assistant de recherche — Université McGill — 2024/11 à 2025/05
[4] Chercheur postdoctoral — Université McGill — 2023/09 à 2024/10
[3] Stagiaire postdoctoral CRM–Simons — Université de Montréal — 2022/09 à 2023/08
[2] Chercheur postdoctoral — Université McGill — 2021/06 à 2022/08
[1] Chercheur postdoctoral — California Institute of Technology — 2019/09 à 2021/05

Postes d’enseignement
[4] Chargé de cours — Université du Québec à Montréal — depuis 2018/05
[3] Chargé de cours — California Institute of Technology — 2020/03 à 2021/03
[2] Chargé de cours — Université de Montréal — 2016/01 à 2019/04
[1] Auxiliaire d’enseignement — Université de Montréal — 2015/05 à 2019/06

Diplômes
[3] Ph. D. en mathématiques (probabilités) — Université de Montréal — 2015/09 à 2019/05
[2] M. Sc. en mathématiques (probabilités) — Université de Montréal — 2013/09 à 2014/11
[1] B. Sc. en mathématiques — Université de Montréal — 2009/09 à 2012/04

Statistique :
– modélisation
– estimation non-paramétrique
– analyse multivariée
– analyse matricielle
– théorie asymptotique

Probabilité :
– processus de branchement
– champs log-corrélés
– systèmes désordonnés
– ordres stochastiques

Les applications en imagerie médicale (DTI) et en finance m’intéressent également.

Articles en préparation

[51] Desgagné, A. and Ouimet, F. (2025). An omnibus goodness-of-fit test based on trigonometric moments. En révision. arXiv:2507.18591. 66 pp.

[50] Béclin, M.-F., Lafaye de Micheaux, P., Molinari, N. and Ouimet, F. A linear regression model for quantile function data applied to paired pulmonary 3d CT scans. En révision. arXiv:2412.15049. 36 pp.

[49] Gaunt, R. E., Ouimet, F. and Richards, D. (2025). Stein 1. En préparation. 24 pp.

[48] Belzile, L. R., Genest, C., Ouimet, F. and Richards, D. (2025). Wishart kernel density estimation for strongly mixing time series on the cone of positive definite matrices. En préparation. 38 pp.

Articles soumis

[47] Gharbi, R., Jedidi, W., Khardani, S. and Ouimet, F. (2025). A Bernstein polynomial approach for the estimation of cumulative distribution functions in the presence of missing data. Soumis. arXiv:2510.07235. 25 pp.

[46] Lan, G., Ouimet, F. and Sun, W. (2025). Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension. Soumis. arXiv:2505.09976. 10 pp.

[45] Daayeb, H., Genest, C., Khardani, S., Klutchnikoff, N. and Ouimet, F. (2025). A comparison of Dirichlet kernel regression methods on the simplex. Soumis. arXiv:2502.08461. 22 pp.

[44] Daayeb, H., Khardani, S. and Ouimet, F. (2025). Dirichlet kernel density estimation for strongly mixing sequences on the simplex. Accepté dans Mathematical Methods of Statistics. arXiv:2506.08816. 16 pp.

Articles publiés

[43] Genest, C., MacKay, A. and Ouimet, F. (2026). On noncentral Wishart mixtures of noncentral Wisharts and their use for testing random effects in factorial design models. Journal of Mathematical Analysis and Applications, 554 (1), 11 pp.

[42] Belzile, L. R., Desgagné, A., Genest, C., and Ouimet, F. (2025). Normal approximations for the multivariate inverse Gaussian distribution and asymmetric kernel smoothing on d-dimensional half-spaces. Electronic Journal of Statistics, 19 (2), 3134-3187.

[41] Bertin, K., Klutchnikoff, N. and Ouimet, F. (2025). A new adaptive local polynomial density estimation procedure on complicated domains. Bernoulli, 31 (3), 2201-2225.

[40] Genest, C., Ouimet, F. and Richards, D. (2025). An explicit Wishart moment formula for the product of two disjoint principal minors. Proceedings of the American Mathematical Society, 153 (3), 1299-1311.

[39] Desgagné, A., Genest, C. and Ouimet, F. (2025). Asymptotics for non-degenerate multivariate $U$-statistics with estimated nuisance parameters under the null and local alternative hypotheses. Journal of Multivariate Analysis, 208. 18 pp.

[38] Genest, C. and Ouimet, F. (2025). Local linear smoothing for regression surfaces on the simplex using Dirichlet kernels. Statistical Papers, 66 (4), Paper no. 97, 28 pp.

[37] Genest, C., Ouimet, F. and Richards, D. (2024). On the Gaussian product inequality conjecture for disjoint principal minors of Wishart random matrices. Electronic Journal of Probability, 29, 26 pp.

[36] Ouimet, F. (2024). Deficiency bounds for the multivariate inverse hypergeometric distribution. Statistical Papers, 65 (6), 3959-3969.

[35] Genest, C. and Ouimet, F. (2024). Asymptotic comparison of negative multinomial and multivariate normal experiments. Statistica Neerlandica, 78 (2), 427-440.

[34] Genest, C., Ouimet, F. and Richards, D. (2024). On Wilks' joint moment formulas for embedded principal minors of Wishart random matrices. Stat, 13 (2), e706, 6 pp.

[33] Genest, C. and Ouimet, F. (2023). Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices. Journal of Mathematical Analysis and Applications, 523 (1), 10 pp.

[32] Bertin, K., Genest, C., Klutchnikoff, N. and Ouimet, F. (2023). Minimax properties of Dirichlet kernel density estimators. Journal of Multivariate Analysis, 195, 16 pp.

[31] Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2023). Goodness-of-fit tests for the Laplace, Gaussian and exponential power distributions based on $\lambda$-th power skewness and kurtosis. Statistics, 57 (1), 94-122.

[30] Ouimet, F. (2023). A refined continuity correction for the negative binomial distribution and asymptotics of the median. Metrika, 86 (7), 827-849.

[29] Ouimet, F. (2023). Moments of the negative multinomial distribution. Mathematical and Computational Applications, 28 (4), 85, 13 pp.

[28] Ouimet, F. and Tolosana-Delgado, R. (2022). Asymptotic properties of Dirichlet kernel density estimators. Journal of Multivariate Analysis, 187, 25 pp.

[27] Ouimet, F. (2022). A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications. Journal of Multivariate Analysis, 189, 17 pp.

[26] Ouimet, F. (2022). An improvement of Tusnady's inequality in the bulk. Advances in Applied Mathematics, 133, 24 pp.

[25] Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2022). A comprehensive empirical power comparison of univariate goodness-of-fit tests for the Laplace distribution. Journal of Statistical Computation and Simulation, 92 (18), 3743-3788.

[24] Ouimet, F. and Qi, F. (2022). Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution. Mathematical Inequalities & Applications, 25 (3), 703-714.

[23] Ouimet, F. (2022). On the Le Cam distance between multivariate hypergeometric and multivariate normal experiments. Results in Mathematics, 77 (1), 11 pp.

[22] Ouimet, F. (2022). Refined normal approximations for the central and noncentral chi-square distributions and some applications. Statistics, 56 (4), 22 pp.

[21] Ouimet, F. (2022). A multivariate normal approximation for the Dirichlet density and some applications. Stat, 11 (1), e410, 13 pp.

[20] Genest, C. and Ouimet, F. (2022). A combinatorial proof of the Gaussian product inequality beyond the MTP2 case. Dependence Modeling, 10 (1), 236-244.

[19] Ouimet, F. (2022). On the boundary properties of Bernstein estimators on the simplex. Open Statistics, 3 (1), 48-62.

[18] Ouimet, F. (2022). Local normal approximations and probability metric bounds for the matrix-variate T-distribution and its application to Hotelling's T statistic. AppliedMath, 2 (3), 446-456.

[17] Ouimet, F. (2022). Refined normal approximations for the Student distribution. Journal of Classical Analysis, 20 (1), 23-33.

[16] Arguin, L.-P., Ouimet, F. and Radziwill, M. (2021). Moments of the Riemann zeta function on short intervals of the critical line. Annals of Probability, 49 (6), 3106-3141.

[15] Ouimet, F. (2021). Asymptotic properties of Bernstein estimators on the simplex. Journal of Multivariate Analysis, 185, 20 pp.

[14] Ouimet, F. (2021). On the Le Cam distance between Poisson and Gaussian experiments and the asymptotic properties of Szasz estimators. Journal of Mathematical Analysis and Applications, 499 (1), 18 pp.

[13] Avanzi, B., Boglioni Beaulieu, G., Lafaye de Micheaux, P., Ouimet, F. and Wong, B. (2021). A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables. Journal of Mathematical Analysis and Applications, 499 (1), 13 pp.

[12] Ouimet, F. (2021). A precise local limit theorem for the multinomial distribution and some applications. Journal of Statistical Planning and Inference, 215, 218-233.

[11] Boglioni Beaulieu, G., Lafaye de Micheaux, P. and Ouimet, F. (2021). Counterexamples to the classical central limit theorem for triplewise independent random variables having a common arbitrary margin. Dependence Modeling, 9, 424-438.

[10] Bax, E. and Ouimet, F. (2021). Bounding means of discrete distributions. IEEE International Conference on Big Data, December 15-18, 2021, Orlando, FL, USA. 5024-5032.

[9] Lafaye de Micheaux, P. and Ouimet, F. (2021). A study of seven asymmetric kernels for the estimation of cumulative distribution functions. Mathematics, 9 (20), 2605, 35 pp.

[8] Ouimet, F. (2021). General formulas for the central and non-central moments of the multinomial distribution. Stats, 4 (1), 18-27.

[7] Arguin, L.-P. and Ouimet, F. (2019). Large deviations and continuity estimates for the derivative of a random model of $\log|\zeta|$ on the critical line. Journal of Mathematical Analysis and Applications, 472 (1), 687-695.

[6] Ouimet, F. (2018). Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex. Journal of Mathematical Analysis and Applications, 466 (2), 1609-1617.

[5] Ouimet, F. (2018). Poisson-Dirichlet statistics for the extremes of a randomized Riemann zeta function. Electronic Communications in Probability, 23, no. 46, 15 pp.

[4] Lafaye de Micheaux, P. and Ouimet, F. (2018). A uniform $L^1$ law of large numbers for functions of i.i.d. random variables that are translated by a consistent estimator. Statistics & Probability Letters, 142, 109-117.

[3] Ouimet, F. (2018). Maxima of branching random walks with piecewise constant variance. Brazilian Journal of Probability and Statistics, 32 (4), 679-706.

[2] Ouimet, F. (2017). Geometry of the Gibbs measure for the discrete 2D Gaussian free field with scale-dependent variance. ALEA, 14 (2), 851-902.

[1] Arguin, L.-P. and Ouimet, F. (2016). Extremes of the two-dimensional Gaussian free field with scale-dependent variance. ALEA, 13 (2), 779–808.

Thèse et mémoire

[2] Ouimet, F. (2019). Extremes of log-correlated random fields and the Riemann-zeta function, and some asymptotic results for various estimators in statistics. Papyrus, Université de Montréal, thèse de doctorat, 425 pp.

[1] Ouimet, F. (2014). Étude du maximum et des hauts points de la marche aléatoire branchante inhomogène et du champ libre gaussien inhomogène. Papyrus, Université de Montréal, mémoire de maîtrise, 144 pp.

Articles sur arXiv (non destinés à la publication)

[9] Ouimet, F. and Susam, S. O. (2025). On the Bernstein-smoothed lower-tail Spearman's rho estimator. Article sur arXiv. arXiv:2506.08857. 14 pp.

[8] Ouimet, F. (2024). Central and noncentral moments of the multivariate hypergeometric distribution. Article sur arXiv. arXiv:2404.09118. 4 pp.

[7] Ouimet, F. (2024). Integral representations for the joint survival functions of the cumulated components of multinomial random vectors. Article sur arXiv. arXiv:2406.18509. 8 pp.

[6] Bax, E. and Ouimet, F. (2023). Non-asymptotic approximations for Pearson's chi-square statistic and its application to confidence intervals for strictly convex functions of discrete distributions. Article sur arXiv. arXiv:2309.01882. 20 pp.

[5] Ouimet, F. (2023). The Gaussian product inequality conjecture for multinomial covariances. Article sur arXiv. arXiv:2209.01505. 8 pp.

[4] Ouimet, F. (2023). A bridge between the circular and linear normal distributions. Article sur arXiv. arXiv:2312.17202. 5 pp.

[3] Ouimet, F. (2020). Explicit formulas for the joint third and fourth central moments of the multinomial distribution. Article sur arXiv. arXiv:2006.09059. 7 pp.

[2] Ouimet, F. (2019). Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients. Article sur arXiv. arXiv:1907.05262. 8 pp.

[1] Arguin, L.-P., Ouimet, F. and Webb, C. (2019). Discretization of the maximum for the derivatives of a random model of $\log|\zeta|$ on the critical line. Article sur arXiv. arXiv:1907.08838. 4 pp.

Liste de mes collaborateurs:

[1] Arguin, Louis-Pierre - Professor, University of Oxford (UK)
[2] Avanzi, Benjamin - Full Professor, University of Melbourne (Australia)
[3] Bax, Eric - Researcher, Yahoo! (USA)
[4] Béclin, Marie-Félicia - Postdoc, Université de Montpellier (France)
[5] Belzile, Léo R. - Associate Professor, HEC Montréal (Canada)
[6] Bertin, Karine - Full Professor, Universidad de Valparaíso (Chile)
[7] Boglioni Beaulieu, Guillaume - Lecturer, UNSW Sydney (Australia)
[8] Daayeb, Hanen - Ph.D. student, Université de Tunis El Manar (Tunisia)
[9] Desgagné, Alain - Professor, Université du Québec à Montréal (Canada)
[10] Genest, Christian - Full Professor, McGill University (Canada)
[11] Gharbi, Rihab - Ph.D. student, Université de Tunis El Manar (Tunisia)
[12] Jedidi, Wissem - Professor, King Saud University (Saudi Arabia)
[13] Khardani, Salah - Associate Professor, Université de Tunis El Manar (Tunisia)
[14] Klutchnikoff, Nicolas - Maître de conférences, Université de Rennes 2 (France)
[15] Lafaye de Micheaux, Pierre - Associate Professor, UNSW Sydney (Australia)
[16] Lan, Guolie - Full Professor, Guangzhou University (China)
[17] MacKay, Anne - Associate Professor, Université de Sherbrooke (Canada)
[18] Molinari, Nicolas - Full Professor, Université de Montpellier (France)
[19] Qi, Feng - Retired Professor, Henan Polytechnic University (China)
[20] Radziwiłł, Maksym - Wayne and Elizabeth Jones Professor of Mathematics, Northwestern University (USA)
[21] Richards, Donald - Emeritus Professor, Penn State University (USA)
[22] Sun, Wei - Full Professor, Concordia University (Canada)
[23] Susam, Selim O. - Associate Professor, Munzur University (Turkey)
[24] Tolosana-Delgado, Raimon - Researcher, Helmholtz-Zentrum Dresden-Rossendorf (Germany)
[25] Webb, Christian - Associate Professor, University of Helsinki (Finland)
[26] Wong, Bernard - Full Professor, UNSW Sydney (Australia)

Subventions

[1] UQTR – Fonds de démarrage – 2025/06 – 15 000 $

Bourses et prix

[17] CRM & Simons Foundation – Bourse postdoctorale – 2022/09 à 2023/08 – 70 000 $
[16] FRQNT – Renouvellement de bourse postdoctorale (B3XR) – 2021/09 à 2022/08 – 45 000 $
[15] FRQNT – Supplément de bourse postdoctorale (B3X) – 2019/09 à 2021/08 – 20 000 $
[14] CRSNG – Bourse postdoctorale (BPD) – 2019/09 à 2021/08 – 90 000 $
[13] ISM – Prix d’excellence – 2018/09 – 4 000 $
[12] DMS – Prix Serge Bissonnette – 2016/11 – 5 000 $
[11] FRQNT – Bourse de recherche doctorale (B2) – 2016/05 à 2019/04 – 60 000 $ (refusée)
[10] CRSNG – Bourse Alexander Graham Bell (BESC D3) – 2016/05 à 2019/04 – 105 000 $
[9] FESP – Bourse J.-A. Bombardier – 2015/10 – 10 000 $
[8] HEC – Admission à la maîtrise en ingénierie financière – 2014/09 – 2 000 $
[7] CRSNG – Bourse Alexander Graham Bell (BESC M) – 2013/09 à 2014/08 – 17 500 $
[6] FRQNT – Bourse de recherche de maîtrise (B1) – 2013/05 à 2013/08 – 5 000 $
[5] CRSNG – Bourse de recherche de premier cycle – 2011/05 à 2011/08 – 5 625 $
[4] UdeM – Services aux étudiants – 2010/12 – 1 000 $
[3] UdeM – Prix du doyen – 2010/10 – 2 000 $
[2] CRSNG – Bourse de recherche de premier cycle – 2010/05 à 2010/08 – 5 625 $
[1] UQÀM – Admission au baccalauréat en actuariat – 2008/09 – 1 500 $

Distinctions

[8] Mention exceptionnelle — thèse de doctorat – 2019/05
[7] Mise en candidature pour la médaille académique du Gouverneur général (FAS) – 2015/02
[6] Mention exceptionnelle — mémoire de maîtrise – 2014/11
[5] Liste d’honneur du doyen — cycles supérieurs – 2013/01
[4] Mention d’excellence pour le B.Sc. en mathématiques (relevé de notes officiel) – 2012/06
[3] Liste d’honneur du doyen — premier cycle – 2012/06
[2] Liste d’honneur du doyen — premier cycle – 2011/06
[1] Liste d’honneur du doyen — premier cycle – 2010/06