## My Publications

### Preprints

[1] C. Duval, E. Mariucci Non-asymptotic control of the cumulative distribution function of Lévy processes. https://arxiv.org/abs/2003.09281

### Papers and accepted preprints

[11] C. Duval, E. Mariucci Spectral-free estimation of Lévy densities in high-frequency regime. To appear in Bernoulli. http://arxiv.org/abs/1702.08787

[10] A. Carpentier, C. Duval, E. Mariucci Total variation distance for discretely observed Lévy processes: a Gaussian approximation of the small jumps. To appear in Annales de l'Institut Henri Poincaré. http://arxiv.org/abs/1810.02998

[9] E. Mariucci, K. Ray, B. Szabó A Bayesian nonparametric approach to log-concave density estimation. Bernoulli 26(2), 2020, 1070–1097. http://arxiv.org/abs/1703.09531

[8] S. Gugushvili, E. Mariucci, F. van der Meulen Decompounding discrete distributions: A non-parametric Bayesian approach. Scandinavian Journal of Statistics 2019 https://onlinelibrary.wiley.com/doi/full/10.1111/sjos.12413

[7] E. Mariucci, M. Reiß Wasserstein and total variation distance between marginals of Lévy processes. Electronic Journal of Statistics 2018, Vol. 12, No. 2, 2482-2514.  https://projecteuclid.org/euclid.ejs/1532657104

[6] E. Mariucci Le Cam theory on the comparaison of statistical models. Graduate J. Math. 1 (2016), 81 – 91. http://arxiv.org/abs/1605.03301.

[5] E. Mariucci Asymptotic equivalence for density estimation and Gaussian white noise: An extension. Annales de l'ISUP 60.1-2 (2016), 23-34. http://arxiv.org/abs/1503.05019.

[4] E. Mariucci Asymptotic equivalence for pure jump Lévy processes with unknown Lévy density and Gaussian white noise. Stoch. Proc. Appl. 126.2 (2016), 503-541. http://arxiv.org/abs/1503.04530.

[3] E. Mariucci Asymptotic equivalence of discretely observed diffusion processes and their Euler scheme: small variance case. Stat. Inference Stoch. Process 19.1 (2016) 71-91. http://link.springer.com/article/10.1007/s11203-015-9117-x.

[2] E. Mariucci Asymptotic equivalence for inhomogeneous jump diffusion processes and white noise. ESAIM: Probability and Statistics 19 (2015), 560-577. http://arxiv.org/abs/1405.0480.

[1] P. étoré, E. Mariucci L1-distance for additive processes with time-homogeneous Lévy measures. Electron. Commun. Probab. 19 (2014), no. 57 https://projecteuclid.org/euclid.ecp/1465316759.

### Other unpublished material

[1] P. Étoré, S. Louhichi, E. Mariucci Asymptotic equivalence of jumps Lévy processes and their discrete counterpart (2013): http://hal.archives-ouvertes.fr/hal-00827173.