In preparation

[50]    A linear regression model for quantile function data applied to paired pulmonary 3d CT scans.

Béclin, M.-F., Lafaye de Micheaux, P., Molinari, N. and Ouimet, F. In preparation. arXiv:2412.15049. 36 pp. (arXiv) (GitHub)

[49]    Asymmetric kernel density estimation for mixing time series on the cone of positive definite matrices.

Belzile, L. R., Genest, C., Ouimet, F. and Richards, D. (2025). In preparation. 38 pp. (arXiv) (GitHub)

[48]    A Bernstein polynomial approach for the estimation of cumulative distribution functions in the presence of missing data.

Gharbi, R., Jedidi, W., Khardani, S. and Ouimet, F. (2025). In preparation. 24 pp. (arXiv) (GitHub)

Submitted

[47]    An omnibus goodness-of-fit test based on trigonometric moments.

Desgagné, A. and Ouimet, F. (2025). Submitted. 66 pp. (arXiv) (GitHub)

[46]    Dirichlet kernel density estimation for strongly mixing sequences on the simplex.

Daayeb, H., Khardani, S. and Ouimet, F. (2025). Submitted. arXiv:2506.08816. 11 pp. (arXiv) (GitHub)

[45]    Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension.

Lan, G., Ouimet, F. and Sun, W. (2025). Submitted. arXiv:2505.09976. 10 pp. (arXiv)

[44]    A comparison of Dirichlet kernel regression methods on the simplex.

Daayeb, H., Genest, C., Khardani, S., Klutchnikoff, N. and Ouimet, F. (2025). Submitted. arXiv:2502.08461. 22 pp. (arXiv) (GitHub)

2026

[43]    On noncentral Wishart mixtures of noncentral Wisharts and their use for testing random effects in factorial design models.

Genest, C., MacKay, A. and Ouimet, F. (2026). Journal of Mathematical Analysis and Applications, 554 (1), 11 pp. (arXiv) (GitHub)

2025

[42]    Normal approximations for the multivariate inverse Gaussian distribution and asymmetric kernel smoothing on d-dimensional half-spaces.

Belzile, L. R., Desgagné, A., Genest, C., and Ouimet, F. (2025). Electronic Journal of Statistics, 19 (2), 3134-3187. (arXiv) (GitHub) (CRAN)

[41]    A new adaptive local polynomial density estimation procedure on complicated domains.

Bertin, K., Klutchnikoff, N. and Ouimet, F. (2025). Bernoulli, 31 (3), 2201-2225. (arXiv) (supp) (GitHub)

[40]    An explicit Wishart moment formula for the product of two disjoint principal minors.

Genest, C., Ouimet, F. and Richards, D. (2025). Proceedings of the American Mathematical Society, 153 (3), 1299-1311. (arXiv) (GitHub)

[39]    Asymptotics for non-degenerate multivariate $U$-statistics with estimated nuisance parameters under the null and local alternative hypotheses.

Desgagné, A., Genest, C. and Ouimet, F. (2025). Journal of Multivariate Analysis, 208. 18 pp. (arXiv) (supp)

[38]    Local linear smoothing for regression surfaces on the simplex using Dirichlet kernels.

Genest, C. and Ouimet, F. (2025). Statistical Papers, 66 (4), Paper no. 97, 28 pp. (arXiv) (GitHub)

2024

[37]    On the Gaussian product inequality conjecture for disjoint principal minors of Wishart random matrices.

Genest, C., Ouimet, F. and Richards, D. (2024). Electronic Journal of Probability, 29, 26 pp. (arXiv)

[36]    Deficiency bounds for the multivariate inverse hypergeometric distribution.

Ouimet, F. (2024). Statistical Papers, 65 (6), 3959-3969. (arXiv)

[35]    Asymptotic comparison of negative multinomial and multivariate normal experiments.

Genest, C. and Ouimet, F. (2024). Statistica Neerlandica, 78 (2), 427-440. (arXiv)

[34]    On Wilks' joint moment formulas for embedded principal minors of Wishart random matrices.

Genest, C., Ouimet, F. and Richards, D. (2024). Stat, 13 (2), e706, 6 pp. (arXiv)

2023

[33]    Miscellaneous results related to the Gaussian product inequality conjecture for the joint distribution of traces of Wishart matrices.

Genest, C. and Ouimet, F. (2023). Journal of Mathematical Analysis and Applications, 523 (1), 10 pp. (arXiv)

[32]    Minimax properties of Dirichlet kernel density estimators.

Bertin, K., Genest, C., Klutchnikoff, N. and Ouimet, F. (2023). Journal of Multivariate Analysis, 195, 16 pp. (arXiv)

[31]    Goodness-of-fit tests for the Laplace, Gaussian and exponential power distributions based on $\lambda$-th power skewness and kurtosis.

Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2023). Statistics, 57 (1), 94-122. (arXiv) (supp)

[30]    A refined continuity correction for the negative binomial distribution and asymptotics of the median.

Ouimet, F. (2023). Metrika, 86 (7), 827-849. (arXiv)

[29]    Moments of the negative multinomial distribution.

Ouimet, F. (2023). Mathematical and Computational Applications, 28 (4), 85, 13 pp. (arXiv)

2022

[28]    Asymptotic properties of Dirichlet kernel density estimators.

Ouimet, F. and Tolosana-Delgado, R. (2022). Journal of Multivariate Analysis, 187, 25 pp. (arXiv)

[27]    A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications.

Ouimet, F. (2022). Journal of Multivariate Analysis, 189, 17 pp. (arXiv)

[26]    An improvement of Tusnady's inequality in the bulk.

Ouimet, F. (2022). Advances in Applied Mathematics, 133, 24 pp. (arXiv)

[25]    A comprehensive empirical power comparison of univariate goodness-of-fit tests for the Laplace distribution.

Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2022). Journal of Statistical Computation and Simulation, 92 (18), 3743-3788. (arXiv) (supp)

[24]    Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution.

Ouimet, F. and Qi, F. (2022). Mathematical Inequalities & Applications, 25 (3), 703-714. (arXiv)

[23]    On the Le Cam distance between multivariate hypergeometric and multivariate normal experiments.

Ouimet, F. (2022). Results in Mathematics, 77 (1), 11 pp. (arXiv)

[22]    Refined normal approximations for the central and noncentral chi-square distributions and some applications.

Ouimet, F. (2022). Statistics, 56 (4), 22 pp. (arXiv)

[21]    A multivariate normal approximation for the Dirichlet density and some applications.

Ouimet, F. (2022). Stat, 11 (1), e410, 13 pp. (arXiv)

[20]    A combinatorial proof of the Gaussian product inequality beyond the MTP2 case.

Genest, C. and Ouimet, F. (2022). Dependence Modeling, 10 (1), 236-244. (arXiv)

[19]    On the boundary properties of Bernstein estimators on the simplex.

Ouimet, F. (2022). Open Statistics, 3 (1), 48-62. (arXiv)

[18]    Local normal approximations and probability metric bounds for the matrix-variate T-distribution and its application to Hotelling's T statistic.

Ouimet, F. (2022). AppliedMath, 2 (3), 446-456. (arXiv)

[17]    Refined normal approximations for the Student distribution.

Ouimet, F. (2022). Journal of Classical Analysis, 20 (1), 23-33. (arXiv)

2021

[16]    Moments of the Riemann zeta function on short intervals of the critical line.

Arguin, L.-P., Ouimet, F. and Radziwill, M. (2021). Annals of Probability, 49 (6), 3106-3141. (arXiv)

[15]    Asymptotic properties of Bernstein estimators on the simplex.

Ouimet, F. (2021). Journal of Multivariate Analysis, 185, 20 pp. (arXiv)

[14]    On the Le Cam distance between Poisson and Gaussian experiments and the asymptotic properties of Szasz estimators.

Ouimet, F. (2021). Journal of Mathematical Analysis and Applications, 499 (1), 18 pp. (arXiv)

[13]    A counterexample to the existence of a general central limit theorem for pairwise independent identically distributed random variables.

Avanzi, B., Boglioni Beaulieu, G., Lafaye de Micheaux, P., Ouimet, F. and Wong, B. (2021).  Journal of Mathematical Analysis and Applications, 499 (1), 13 pp. (arXiv)

[12]    A precise local limit theorem for the multinomial distribution and some applications.

Ouimet, F. (2021). Journal of Statistical Planning and Inference, 215, 218-233. (arXiv)

[11]    Counterexamples to the classical central limit theorem for triplewise independent random variables having a common arbitrary margin.

Boglioni Beaulieu, G., Lafaye de Micheaux, P. and Ouimet, F. (2021). Dependence Modeling, 9, 424-438. (arXiv) 

[10]    Bounding means of discrete distributions.

Bax, E. and Ouimet, F. (2021). IEEE International Conference on Big Data, December 15-18, 2021, Orlando, FL, USA. 5024-5032. (arXiv)

  [9]    A study of seven asymmetric kernels for the estimation of cumulative distribution functions.

Lafaye de Micheaux, P. and Ouimet, F. (2021). Mathematics, 9 (20), 2605, 35 pp. (arXiv)

  [8]    General formulas for the central and non-central moments of the multinomial distribution.

Ouimet, F. (2021). Stats, 4 (1), 18-27. (arXiv)

2019

  [7]    Large deviations and continuity estimates for the derivative of a random model of $\log|\zeta|$ on the critical line.

Arguin, L.-P. and Ouimet, F. (2019). Journal of Mathematical Analysis and Applications, 472 (1), 687-695. (arXiv)

2018

  [6]    Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex.

Ouimet, F. (2018). Journal of Mathematical Analysis and Applications, 466 (2), 1609-1617. (arXiv)

  [5]    Poisson-Dirichlet statistics for the extremes of a randomized Riemann zeta function.

Ouimet, F. (2018). Electronic Communications in Probability, 23, no. 46, 15 pp. (arXiv)

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

Lafaye de Micheaux, P. and Ouimet, F. (2018). Statistics & Probability Letters, 142, 109-117. (arXiv)

  [3]    Maxima of branching random walks with piecewise constant variance.

Ouimet, F. (2018). Brazilian Journal of Probability and Statistics, 32 (4), 679-706. (arXiv)

2017

  [2]    Geometry of the Gibbs measure for the discrete 2D Gaussian free field with scale-dependent variance.

Ouimet, F. (2017). ALEA, 14 (2), 851-902. (arXiv)

2016

  [1]    Extremes of the two-dimensional Gaussian free field with scale-dependent variance.

Arguin, L.-P. and Ouimet, F. (2016). ALEA, 13 (2), 779–808. (arXiv)

Work in progress

[**]    Goodness-of-fit tests for Student's t-distribution based on $\lambda$-th power skewness and kurtosis.

Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2023). Work in progress. 20 pp.

[**]    Robustness.

Desgagné, A. and Ouimet, F. (2025). Work in progress. 10 pp.

[**]    Stein 3.

Gaunt, R. E., Ouimet, F., Richards, D. and Sriperumbudur, B. K. (2025). Work in progress. 7 pp.

[**]    Stein 2.

Gaunt, R. E., Ouimet, F., Richards, D. and Sriperumbudur, B. K. (2025). Work in progress. 13 pp.

[**]    Stein 1.

Gaunt, R. E., Ouimet, F., Richards, D. and Sriperumbudur, B. K. (2025). Work in progress. 16 pp.

[**]    Project with no name.

Lan, G., Ouimet, F. and Sun, W. (2025). Work in progress.

[**]    Total positivity of the $SL(2,\R)$ conformal block.

Ouimet, F. and Richards, D. (2025). Work in progress. 8 pp.

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Tier 1 journal counts (17)

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Advances in Applied Mathematics - Elsevier (1)

Annals of Probability - IMS (1)

Bernoulli - IMS (1)

Electronic Journal of Probability - IMS (1)

Electronic Journal of Statistics - IMS (1)

Journal of Mathematical Analysis and Applications - Elsevier (6)

Journal of Multivariate Analysis - Elsevier (5)

Proceedings of the American Mathematical Society - AMS (1)

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Tier 2 journal counts (18)

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ALEA - IMS (2)

Dependence Modeling - DeGruyter (2)

Electronic Communications in Probability - IMS (1)

Journal of Statistical Computation and Simulation - Taylor & Francis (1)

Journal of Statistical Planning and Inference - Elsevier (1)

Mathematical Inequalities & Applications - Ele-Math (1)

Metrika - Springer (1)

Results in Mathematics - Springer (1)

Stat - Wiley (2)

Statistica Neerlandica - Wiley (1)

Statistical Papers - Springer (2)

Statistics - Taylor & Francis (2)

Statistics & Probability Letters - Elsevier (1)

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Tier 3 journal counts (7)

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AppliedMath - MDPI (1)

Brazilian Journal of Probability and Statistics - IMS (1)

Journal of Classical Analysis - Ele-Math (1)

Mathematical and Computational Applications - MDPI (1)

Mathematics - MDPI (1)

Open Statistics - DeGruyter (1)

Stats - MDPI (1)

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Conference proceedings (1)

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IEEE International Conference on Big Data (1)

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Theses (2)

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[2]    Extremes of log-correlated random fields and the Riemann-zeta function, and some asymptotic results for various estimators in statistics.

Ouimet, F. (2019). Papyrus, Université de Montréal, PhD thesis, 425 pp. (slides)

[1]    Étude du maximum et des hauts points de la marche aléatoire branchante inhomogène et du champ libre gaussien inhomogène.

Ouimet, F. (2014). Papyrus, Université de Montréal, Master's thesis, 144 pp.

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ArXiv papers (9) - Not for publication

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[9]    On the Bernstein-smoothed lower-tail Spearman's rho estimator.

Ouimet, F. and Susam, S. O. (2025). ArXiv paper. arXiv:2506.08857. 14 pp. (arXiv) (GitHub)

[8]    Central and noncentral moments of the multivariate hypergeometric distribution.

Ouimet, F. (2024). ArXiv paper. arXiv:2404.09118. 4 pp. (arXiv)

[7]    Integral representations for the joint survival functions of the cumulated components of multinomial random vectors.

Ouimet, F. (2024). ArXiv paper. arXiv:2406.18509. 8 pp. (arXiv)

[6]    Non-asymptotic approximations for Pearson's chi-square statistic and its application to confidence intervals for strictly convex functions of discrete distributions.

Bax, E. and Ouimet, F. (2023). ArXiv paper. arXiv:2309.01882. 20 pp. (arXiv)

[5]    The Gaussian product inequality conjecture for multinomial covariances.

Ouimet, F. (2023). ArXiv paper. arXiv:2209.01505. 8 pp. (arXiv)

[4]    A bridge between the circular and linear normal distributions.

Ouimet, F. (2023). ArXiv paper. arXiv:2312.17202. 5 pp. (arXiv)

[3]    Explicit formulas for the joint third and fourth central moments of the multinomial distribution.

Ouimet, F. (2020). ArXiv paper. arXiv:2006.09059. 7 pp. (arXiv)

[2]    Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients.

Ouimet, F. (2019). arXiv:1907.05262. ArXiv paper. 8 pp. (arXiv)

[1]    Discretization of the maximum for the derivatives of a random model of $\log|\zeta|$ on the critical line.

Arguin, L.-P., Ouimet, F. and Webb, C. (2019). ArXiv paper. arXiv:1907.08838. 4 pp. (arXiv)