In preparation
[49] 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)
[48] 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)
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)
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
Genest, C., MacKay, A. and Ouimet, F. (2026). Journal of Mathematical Analysis and Applications, 554 (1), 11 pp. (arXiv) (GitHub)
2025
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)
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
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
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)
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)
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)
Desgagné, A., Lafaye de Micheaux, P. and Ouimet, F. (2022). Journal of Statistical Computation and Simulation, 92 (18), 3743-3788. (arXiv) (supp)
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)
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)
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)
Ouimet, F. (2021). Journal of Mathematical Analysis and Applications, 499 (1), 18 pp. (arXiv)
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)
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
Arguin, L.-P. and Ouimet, F. (2019). Journal of Mathematical Analysis and Applications, 472 (1), 687-695. (arXiv)
2018
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)
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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Ouimet, F. (2019). Papyrus, Université de Montréal, PhD thesis, 425 pp. (slides)
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)
Ouimet, F. (2024). ArXiv paper. arXiv:2406.18509. 8 pp. (arXiv)
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)
Ouimet, F. (2019). arXiv:1907.05262. ArXiv paper. 8 pp. (arXiv)
Arguin, L.-P., Ouimet, F. and Webb, C. (2019). ArXiv paper. arXiv:1907.08838. 4 pp. (arXiv)