# Research

- Preprints [27] T. Mikosch, M. Rezapour and O. Wintenberger Heavy tails for an alternative stochastic perpetuity model.
- Publications [23] N. Thiemann, C. Igel, O. Wintenberger, and Y. Seldin (2017) A strongly quasiconvex PAC-Bayesian bound. In Proceedings of Machine Learning Research, 76 (ALT).

[26] F. Blasques, P. Gorgi, S. J. Koopman and O. Wintenberger Feasible Invertibility Conditions for Maximum Likelihood Estimation for Observation-Driven Models.

[25] R. S. Pedersen and O. Wintenberger On the tail behavior of a class of multivariate conditionally heteroskedastic processes.

[24] R. Kulik, P. Soulier and O. Wintenberger The tail empirical process of regularly varying functions of geometrically ergodic Markov chains.

[22] C. Tillier and O. Wintenberger (2017) Regular variation of a random length sequence of random variables and application to risk assessment, accepted by Extremes journal, online first.

[21] P. Gaillard and O. Wintenberger (2017) Sparse Accelerated Exponential Weights, accepted for AISTAT 2017, JMLR.

[20] O. Wintenberger (2017) Exponential inequalities for unbounded functions of geometrically ergodic Markov chains. Applications to quantitative error bounds for regenerative Metropolis algorithms, Statistics, 51.

[19] O. Wintenberger (2017) Optimal learning with Bernstein Online Aggregation, Machine Learning, 106. Erratum: The inequality (1) is wrong in the unbounded case and the doubling trick should be uniform in j as in [CBMS07].

[18] C. Francq, O. Wintenberger and J.-M. Zakoïan (2016) Goodness-of-fit tests for extended Log-GARCH models and specification tests against the EGARCH, TEST, Online first.

[17] T. Mikosch and O. Wintenberger (2016) A large deviations approach to limit theory for heavy-tailed time series, Probab. Th. Rel. Fields 166, 233-269.

[16] O. Wintenberger (2015) Weak transport inequalities and applications to exponential and oracle inequalities, EJP, 20, 114, 1-27.

[15] T. Mikosch and O. Wintenberger (2014) The cluster index of regularly varying sequences with applications to limit theory for functions of multivariate Markov chains, Probab. Th. Rel. Fields 159, 157-196.

[14] P. Alquier, X. Li and O. Wintenberger (2013) Prediction of time series by statistical learning: general losses and fast rates , Dependence Modeling, 1, 65-93. Note that this article contains the results of the unpublished working paper Fast Rates in Learning with Dependent Observations.

[13] C. Francq, O. Wintenberger and J.-M. Zakoïan (2013) GARCH models without positivity constraints: Exponential or Log GARCH?, Journal of Econometrics 177, 34-46.

[12] J. Trashorras and O. Wintenberger (2013) Large deviations for bootstrapped empirical measures, accepted for publication in Bernoulli.

[11] O. Wintenberger (2013) Continuous Invertibility and Stable QML Estimation of the EGARCH(1,1) Model, Scandinavian Journal of Statistics 40, 846-867.

[10] T. Mikosch and O. Wintenberger (2013) Precise large deviations for dependent regularly varying sequences, Probab. Th. Rel. Fields 156, 851-887.

[9] J.-M. Bardet, W. Kengne, and O. Wintenberger (2012) Detecting multiple change-points in general causal time series using penalized quasi-likelihood, Electron. J. Statist. 6, 435-477.

[8] P. Alquier, O. Wintenberger (2012) Model selection and randomization for weakly dependent time series forecasting, Bernoulli 18 (3), 883-913.

[7] K. Bartkiewicz, A. Jakubowski, T. Mikosch, O. Wintenberger (2011) Stable limits for sums of dependent infinite variance random variables Probab. Th. Rel. Fields 150, 337-372.

[6] O. Wintenberger (2010) Deviation inequalities for sums of weakly dependent time series, Elect. Comm. in Probab. 15, 489-503.

[5] I. Gannaz, O. Wintenberger (2010) Adaptive density estimation under weak dependence, ESAIM Probab. Statist. 14, 151-172.

[4] J.-M. Bardet, O. Wintenberger (2009) Asymptotic normality of the Quasi Maximum Likelihood Estimator for multidimensional causal processes, Ann. Statist. 37, 2730-2759.

[3] P. Doukhan, O. Wintenberger (2008) Weakly dependent chains with infinite memory, Stoch. Proc. Appl. 118, 11, 1997-2013.

[2] P. Doukhan, O. Wintenberger (2007) An invariance principle for weakly dependent stationary general models, Probab. Math. Statist. 27, 1, 45-73.

[1] N. Ragache, O.Wintenberger (2006) Convergence rates for density estimators of weakly dependent time series , Dependence in Probability and Statistics, (Eds P. Bertail, P. Doukhan and P. Soulier),Lecture Notes in Statist. 187, 349-372.

**Thesis **