Frédéric Ouimet - Publications

In preparation

[51] Density estimation on the space of positive definite matrices using Wishart asymmetric kernels.

Genest, C., Klutchnikoff, N., Ouimet, F. and Richards, D. (2024). In preparation. 22 pp.

[50] 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. (2024). In preparation. arXiv:2209.04757. 38 pp. (arXiv) (code)

Submitted

[49] Preprint.

Genest, C., Ouimet, F. and Richards, D. (2024). Submitted.

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

Genest, C., Ouimet, F. and Richards, D. (2024). Submitted. arXiv:2311.00202. 27 pp. (arXiv)

[47] 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). Submitted. arXiv:2309.01882. 20 pp. (arXiv)

[46] 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. (2024). Submitted. arXiv:2402.11272. 16 pp. (arXiv)

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

Bertin, K., Klutchnikoff, N. and Ouimet, F. (2023). Submitted. arXiv:2308.01156. 43 pp. (arXiv) (code)

2024

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

Genest, C., Ouimet, F. and Richards, D. (2024). Accepted for publication in Stat. 7 pp. (arXiv)

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

Ouimet, F. (2024). Statistical Papers, 65, 11 pp. (arXiv)

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

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

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

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

2023

[40] Moments of the negative multinomial distribution.

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

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

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

[38] 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)

[37] 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)

[36] 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) (code)

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

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

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

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

2022

[33] 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) (code)

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

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

[31] 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)

[30] 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)

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

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

[28] Refined normal approximations for the Student distribution.

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

[27] 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)

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

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

[25] 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)

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

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

[23] Asymptotic properties of Dirichlet kernel density estimators.

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

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

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

2021

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

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

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

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

[19] 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)

[18] 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)

[17] 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)

[16] 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)

[15] 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)

[14] 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)

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

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

2020

[12] 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)

2019

[11] 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)

[10] 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)

[9] 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)

[8] 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)

2018

[7] 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)

[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] 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)

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

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

2017

[3] 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

[2] 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)

2014

[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.

Work in progress

[60] Poisson-Dirichlet statistics for the extremes of the Riemann zeta function on short intervals near the critical line.

Ouimet, F. (2023). Work in progress. 55 pp.

[59] A note on the asymptotic behavior of the copula density estimator supported on the simplex.

Genest, C. and Ouimet, F. (2023). Work in progress. 14 pp.

[58] Asymptotic properties of Bernstein copula estimators on the simplex and goodness-of-fit tests for Liouville copulas.

Genest, C. and Ouimet, F. (2023). Work in progress. 16 pp.

[57] A Bernstein polynomial approach to the estimation of distribution functions and quantiles for doubly censored data.

Genest, C., Khardani, S. and Ouimet, F. (2023). Work in progress. 11 pp.

[56] A multivariate extension of Tusnady's inequality.

Ouimet, F. (2024). Work in progress. 12 pp.

[55] A large class of powerful goodness-of-fit tests based on first trigonometric moments.

Desgagné, A. and Ouimet, F. (2023). Work in progress. 36 pp.

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

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

[53] Local linear smoothers using Dirichlet kernels.

Ouimet, F. (2024). Work in progress. 5 pp.

[52] Nonparametric estimation of regression surfaces on the simplex using Dirichlet kernels.

Daayeb, H., Khardani, S. and Ouimet, F. (2024). Work in progress. 6 pp.

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Tier 1 journal counts (11)

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Advances in Applied Mathematics - Elsevier (1)

Annals of Probability - IMS (1)

Journal of Mathematical Analysis and Applications - Elsevier (5)

Journal of Multivariate Analysis - Elsevier (4)

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Tier 2 journal counts (17)

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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 (1)

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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ArXiv papers (6)

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Theses (2)

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PhD thesis (2019)

Master's thesis (2014)