My Publications
Last updated on September 2023.
Preprints
[1] C. Duval, T. Jalal, E. Mariucci
Nonparametric density estimation for the small jumps of Lévy processes
https://hal.uvsq.fr/hal-04140404v1
Papers and accepted preprints
[12] C. Duval, E. Mariucci Non-asymptotic control of the cumulative distribution function of Lévy processes.
Advances in Applied Probability 54 (3), 913-944, 2022.
https://arxiv.org/abs/2003.09281
[11] C. Duval, E. Mariucci Spectral-free estimation of Lévy densities in high-frequency regime.
Bernoulli 27 (4), 2649-2674, 2021.
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.
Ann. Inst. H. Poincaré Probab. Statist. 57(2): 901-939, 2021.
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
.