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328 results on '"Rio, Emmanuel"'

1. Upper bounds for superquantiles of martingales

Author

Rio, Emmanuel

Subjects
Mathematics, QA1-939
Abstract

Let $(M_n)_n$ be a discrete martingale in $L^p$ for $p$ in $]1,2]$ or $p=3$. In this note, we give upper bounds on the superquantiles of $M_n$ and the quantiles and superquantiles of $M_n^* = \max (M_0,M_1,\,\ldots ,\,M_n)$.

Published
2021
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3. Deviation inequalities for dependent sequences with applications to strong approximations

Author

Dedecker, J, Merlevède, F, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

In this paper, we give precise rates of convergence in the strong invariance principle for stationary sequences of bounded real-valued random variables satisfying weak dependence conditions. One of the main ingredients is a new Fuk-Nagaev type inequality for a class of weakly dependent sequences. We describe also several classes of processes to which our results apply.

Published
2023

4. Quadratic transportation cost in the conditional central limit theorem for dependent sequences

Author

Dedecker, Jérôme, Merlevède, Florence, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent maps and $\tau$-mixing sequences are given.

Published
2022

7. Rates of convergence in the central limit theorem for martingales in the non stationary setting

Author

Dedecker, Jérôme, Merlevède, Florence, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

In this paper, we give rates of convergence, for minimal distances and for the uniform distance, between the law of partial sums of martingale differences and thelimiting Gaussian distribution. More precisely, denoting by $P_{X}$ the law of a random variable $X$ and by $G_{a}$ the normal distribution ${\mathcal N} (0,a)$, we are interested by giving quantitative estimates for the convergence of $P_{S_n/\sqrt{V_n}}$ to $G_1$, where $S_n$ is the partial sum associated with either martingale differences sequences or more general dependent sequences, and $V_n= {\rm Var}(S_n)$. Applications to linear statistics, non stationary $\rho$-mixing sequences and sequential dynamical systems are given.

Published
2021

9. Criteria for Borel-Cantelli lemmas with applications to Markov chains and dynamical systems

Author

Dedecker, Jérôme, Merlevède, Florence, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

Let (X k) be a strictly stationary sequence of random variables with values in some Polish space E and common marginal $\mu$, and (A k) k>0 be a sequence of Borel sets in E. In this paper, we give some conditions on (X k) and (A k) under which the events {X k $\in$ A k } satisfy the Borel-Cantelli (or strong Borel-Cantelli) property. In particular we prove that, if $\mu$(lim sup n A n) > 0, the Borel-Cantelli property holds for any absolutely regular sequence. In case where the A k 's are nested, we show, on some examples, that a rate of convergence of the mixing coefficients is needed. Finally we give extensions of these results to weaker notions of dependence, yielding applications to non-irreducible Markov chains and dynamical systems.

Published
2019

11. Randomized phase II trial in prostate cancer with hormone-sensitive OligometaSTatic relapse: Combining stereotactic ablative radiotherapy and durvalumab (POSTCARD GETUG P13): Study protocol

Author

Rogé, Maximilien, Pointreau, Yoann, Sargos, Paul, Meyer, Emmanuel, Schick, Ulrike, Hasbini, Ali, Rio, Emmanuel, Bera, Guillaume, Ruffier, Amandine, Quivrin, Magali, Chasseray, Mathieu, Latorzeff, Igor, Martin, Etienne, Guimas, Valentine, Pommier, Pascal, Leroy, Thomas, Ronchin, Philippe, Lepinoy, Alexis, Grand, Audrey, Cartier, Lysian, Didas, Ossama, Denis, Fabrice, Libois, Vincent, Blanc-Lapierre, Audrey, and Supiot, Stéphane

Published
2023
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12. Criteria for Borel-Cantelli Lemmas with Applications to Markov Chains and Dynamical Systems

Author

Dedecker, Jérôme, Merlevède, Florence, Rio, Emmanuel, Morel, Jean-Michel, Editor-in-Chief, Teissier, Bernard, Editor-in-Chief, Baur, Karin, Series Editor, Brion, Michel, Series Editor, Figalli, Alessio, Series Editor, Huber, Annette, Series Editor, Khoshnevisan, Davar, Series Editor, Kontoyiannis, Ioannis, Series Editor, Kunoth, Angela, Series Editor, Székelyhidi, László, Series Editor, Mézard, Ariane, Series Editor, Podolskij, Mark, Series Editor, Serfaty, Sylvia, Series Editor, Vezzosi, Gabriele, Series Editor, Wienhard, Anna, Series Editor, Donati-Martin, Catherine, editor, Lejay, Antoine, editor, and Rouault, Alain, editor

Published
2022
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13. Combination of Abiraterone Acetate, Prostate Bed Radiotherapy, and Luteinizing Hormone-releasing Hormone Agonists in Biochemically Relapsing Patients After Prostatectomy (CARLHA): A Phase 2 Clinical Trial

Author

Ah-Thiane, Loic, primary, Campion, Loic, additional, Allouache, Nedjla, additional, Meyer, Emmanuel, additional, Pommier, Pascal, additional, Mesgouez-Nebout, Nathalie, additional, Serre, Anne-Agathe, additional, Créhange, Gilles, additional, Guimas, Valentine, additional, Rio, Emmanuel, additional, Sargos, Paul, additional, Ladoire, Sylvain, additional, Mahier Ait Oukhatar, Céline, additional, and Supiot, Stéphane, additional

Published
2024
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14. Neoadjuvant chemotherapy with FOLFIRINOX and preoperative chemoradiotherapy for patients with locally advanced rectal cancer (UNICANCER-PRODIGE 23): a multicentre, randomised, open-label, phase 3 trial

Author

Borg, Christophe, Etienne, Pierre-Luc, Rio, Emmanuel, Mesgouez-Nebout, Nathalie, François, Éric, Vendrely, Véronique, Conroy, Thierry, Artignan, Xavier, Bouché, Olivier, Gargot, Dany, Boige, Valérie, Bonichon-Lamichhane, Nathalie, Louvet, Christophe, Morand, Clotilde, de la Fouchardière, Christelle, Ronchin, Philippe, Seitz, Jean-François, Corbinais, Stéphane, Maillard, Emmanuel, Noirclerc, Monique, El Hajbi, Farid, Villing, Anne-Laure, Bécouarn, Yves, Foong Fat Lam Kam Sang, Lam, Artru, Pascal, Bachet, Jean-Baptiste, Hocine, Fayçal, Ligeza-Poisson, Catherine, Vautravers, Claire, Ben Abdelghani, Meher, Aparicio, Thomas, Desot, Elise, Marquis, Isabelle, Bosset, Jean-François, Lamfichekh, Najib, Juzyna, Béata, Jouffroy-Zeller, Claire, Rullier, Eric, Marchal, Frédéric, Gourgou, Sophie, and Castan, Florence

Published
2021
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16. Irreducible Markov Chains

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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17. Fuk–Nagaev Inequalities, Applications

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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18. Empirical Processes Indexed by Classes of Functions

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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19. Empirical Distribution Functions

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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20. Mixing and Coupling

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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21. Algebraic Moments, Elementary Exponential Inequalities

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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22. The Variance of Partial Sums

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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23. Maximal Inequalities and Strong Laws

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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24. Central Limit Theorems

Author

Rio, Emmanuel, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas, Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Section editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P, Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, and Rio, Emmanuel

Published
2017
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25. Strong approximation results for the empirical process of stationary sequences

Author

Dedecker, Jérôme, Merlevède, Florence, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

We prove a strong approximation result for the empirical process associated to a stationary sequence of real-valued random variables, under dependence conditions involving only indicators of half lines. This strong approximation result also holds for the empirical process associated to iterates of expanding maps with a neutral fixed point at zero, as soon as the correlations decrease more rapidly than $n^{-1-\delta}$ for some positive $\delta$. This shows that our conditions are in some sense optimal., Comment: Published in at http://dx.doi.org/10.1214/12-AOP798 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Published
2013
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26. Efficacy and Safety of Two Neoadjuvant Strategies With Bevacizumab in MRI-Defined Locally Advanced T3 Resectable Rectal Cancer: Final Results of a Randomized, Noncomparative Phase 2 INOVA Study

Author

Borg, Christophe, Mantion, Georges, Boudghène, Frank, Mornex, Françoise, Ghiringhelli, François, Adenis, Antoine, Azria, David, Balosso, Jacques, Ben Abdelghani, Meher, Bachet, Jean Baptiste, Vendrely, Véronique, François, Yves, Conroy, Thierry, Rio, Emmanuel, Roullet, Bernard, Spaëth, Dominique, Quero, Laurent, Lakkis, Zaher, Coudert, Mathieu, Ionescu-Goga, Miruna, Tanang, Alexandre, and André, Thierry

Published
2019
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28. Concentration inequalities for mean field particle models

Author

Del Moral, Pierre and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

This article is concerned with the fluctuations and the concentration properties of a general class of discrete generation and mean field particle interpretations of nonlinear measure valued processes. We combine an original stochastic perturbation analysis with a concentration analysis for triangular arrays of conditionally independent random sequences, which may be of independent interest. Under some additional stability properties of the limiting measure valued processes, uniform concentration properties, with respect to the time parameter, are also derived. The concentration inequalities presented here generalize the classical Hoeffding, Bernstein and Bennett inequalities for independent random sequences to interacting particle systems, yielding very new results for this class of models. We illustrate these results in the context of McKean-Vlasov-type diffusion models, McKean collision-type models of gases and of a class of Feynman-Kac distribution flows arising in stochastic engineering sciences and in molecular chemistry., Comment: Published in at http://dx.doi.org/10.1214/10-AAP716 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Published
2012
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29. Bernstein inequality and moderate deviations under strong mixing conditions

Author

Merlevède, Florence, Peligrad, Magda, and Rio, Emmanuel

Subjects
Mathematics - Probability, 60E15, 60F10, 62G07
Abstract

In this paper we obtain a Bernstein type inequality for a class of weakly dependent and bounded random variables. The proofs lead to a moderate deviations principle for sums of bounded random variables with exponential decay of the strong mixing coeficients that complements the large deviation result obtained by Bryc and Dembo (1998) under superexponential mixing rates., Comment: 20 pages

Published
2012

30. Strong approximation of partial sums under dependence conditions with application to dynamical systems

Author

Merlevède, Florence and Rio, Emmanuel

Subjects
Mathematics - Probability, 60F17, 37E05
Abstract

In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) as a special case. Applications to unbounded functions of intermittent maps are given.

Published
2011

31. A Bernstein type inequality and moderate deviations for weakly dependent sequences

Author

Merlevède, Florence, Peligrad, Magda, and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

In this paper we present a tail inequality for the maximum of partial sums of a weakly dependent sequence of random variables that are not necessarily bounded. The class considered includes geometrically and subgeometrically strongly mixing sequences. The result is then used to derive asymptotic moderate deviations results. Applications include classes of Markov chains, functions of linear processes with absolutely regular innovations and ARCH models

Published
2009

33. On mean central limit theorems for stationary sequences

Author

Dedecker, Jérôme and Rio, Emmanuel

Subjects
Mathematics - Probability
Abstract

In this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions., Comment: Published in at http://dx.doi.org/10.1214/07-AIHP117 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Published
2008
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34. Rates of convergence for minimal distances in the central limit theorem under projective criteria

Author

Dedecker, Jérôme, Merlevède, Florence, and Rio, Emmanuel

Subjects
Mathematics - Statistics Theory, Mathematics - Probability, 60 F 05
Abstract

In this paper, we give estimates of ideal or minimal distances between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary martingale difference sequences or stationary sequences satisfying projective criteria. Applications to functions of linear processes and to functions of expanding maps of the interval are given.

Published
2007

35. Concentration inequalities for sums

Author

Bercu, Bernard, Delyon, Bernard, Rio, Emmanuel, Bellomo, Nicola, Series editor, Benzi, Michele, Series editor, Jorgensen, Palle E. T., Series editor, Li, Tatsien, Series editor, Melnik, Roderick, Series editor, Scherzer, Otmar, Series editor, Steinberg, Benjamin, Series editor, Reichel, Lothar, Series editor, Tschinkel, Yuri, Series editor, Yin, G. George, Series editor, Zhang, Ping, Series editor, Bercu, Bernard, Delyon, Bernard, and Rio, Emmanuel

Published
2015
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36. Concentration inequalities for martingales

Author

Bercu, Bernard, Delyon, Bernard, Rio, Emmanuel, Bellomo, Nicola, Series editor, Benzi, Michele, Series editor, Jorgensen, Palle E. T., Series editor, Li, Tatsien, Series editor, Melnik, Roderick, Series editor, Scherzer, Otmar, Series editor, Steinberg, Benjamin, Series editor, Reichel, Lothar, Series editor, Tschinkel, Yuri, Series editor, Yin, G. George, Series editor, Zhang, Ping, Series editor, Bercu, Bernard, Delyon, Bernard, and Rio, Emmanuel

Published
2015
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37. Applications in probability and statistics

Author

Bercu, Bernard, Delyon, Bernard, Rio, Emmanuel, Bellomo, Nicola, Series editor, Benzi, Michele, Series editor, Jorgensen, Palle E. T., Series editor, Li, Tatsien, Series editor, Melnik, Roderick, Series editor, Scherzer, Otmar, Series editor, Steinberg, Benjamin, Series editor, Reichel, Lothar, Series editor, Tschinkel, Yuri, Series editor, Yin, G. George, Series editor, Zhang, Ping, Series editor, Bercu, Bernard, Delyon, Bernard, and Rio, Emmanuel

Published
2015
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38. Classical results

Author

Bercu, Bernard, Delyon, Bernard, Rio, Emmanuel, Bellomo, Nicola, Series editor, Benzi, Michele, Series editor, Jorgensen, Palle E. T., Series editor, Li, Tatsien, Series editor, Melnik, Roderick, Series editor, Scherzer, Otmar, Series editor, Steinberg, Benjamin, Series editor, Reichel, Lothar, Series editor, Tschinkel, Yuri, Series editor, Yin, G. George, Series editor, Zhang, Ping, Series editor, Bercu, Bernard, Delyon, Bernard, and Rio, Emmanuel

Published
2015
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42. Cardiologist-Performed Baseline Evaluation with an Assessment of Coronary Status for Prostate Cancer Patients Undergoing Androgen Deprivation Therapy: Impact on Newly Diagnosed Coronary Artery Disease

Author

Rogé, Maximilien, primary, Guimas, Valentine, additional, Rio, Emmanuel, additional, Vaugier, Loïg, additional, Perennec, Tanguy, additional, Alexandre, Joachim, additional, Supiot, Stéphane, additional, and Martin Mervoyer, Elvire, additional

Published
2023
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46. TACE and conformal radiotherapy vs. TACE alone for hepatocellular carcinoma: A randomised controlled trial

Author

Féray, Cyrille, primary, Campion, Loic, additional, Mathurin, Philippe, additional, Archambreaud, Isabelle, additional, Mirabel, Xavier, additional, Bronowicki, Jean Pierre, additional, Rio, Emmanuel, additional, Perret, Christophe, additional, Mineur, Laurent, additional, Oberti, Frédéric, additional, Touchefeu, Yann, additional, Gournay, Jérôme, additional, Regnault, Hélène, additional, Edeline, Julien, additional, Rode, Agnès, additional, Hillion, Patrick, additional, Blanc, Jean Frédéric, additional, Khac, Eric Nguyen, additional, Azoulay, Daniel, additional, Luciani, Alain, additional, Preglisasco, Athena Galetto, additional, Faurel-Paul, Elodie, additional, Auble, Hélène, additional, Mornex, Françoise, additional, and Merle, Philippe, additional

Published
2023
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