Davide Giraudo

Publications

Article dans une revue (16)

On the limit in the CLT for a field of martingale differences with respect to a completely commuting invariant filtration. Davide Giraudo,Emmanuel Lesigne,Dalibor Volny Annales Henri Lebesgue, In press Article dans une revue hal-04584212v2
Deviation inequality for Banach-valued orthomartingales Davide Giraudo Stochastic Processes and their Applications, 2024, 175, pp.104391. ⟨10.1016/j.spa.2024.104391⟩ Article dans une revue hal-03915903v1
Some notes on ergodic theorem for $U$-statistics of order $m$ for stationary and not necessarily ergodic sequences Davide Giraudo Statistics and Probability Letters, 2024, 210, pp.110117. ⟨10.1016/j.spl.2024.110117⟩ Article dans une revue hal-04202655v2
Some remarks on the ergodic theorem for $U$-statistics Herold Dehling,Davide Giraudo,Dalibor Volný Comptes Rendus. Mathématique, 2023, 361 (G9), pp.1511-1519. ⟨10.5802/crmath.494⟩ Article dans une revue hal-03979769v1
Functional central limit theorem and Marcinkiewicz strong law of large numbers for Hilbert-valued U-statistics of absolutely regular data Davide Giraudo Brazilian Journal of Probability and Statistics, 2023, 38 (2), ⟨10.1214/24-bjps607⟩ Article dans une revue hal-04273319v1
U-statistics of local sample moments under weak dependence Herold Dehling,Davide Giraudo,Sara K. Schmidt ALEA : Latin American Journal of Probability and Mathematical Statistics, 2023, 20 (2), pp.1511. ⟨10.30757/alea.v20-57⟩ Article dans une revue hal-03995213v2
Hölderian weak invariance principle under Maxwell and Woodroofe condition Davide Giraudo Brazilian Journal of Probability and Statistics, 2018, 32 (1), pp.172 - 187. ⟨10.1214/16-BJPS336⟩ Article dans une revue hal-01211819v3
Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields Davide Giraudo Modern Stochastics: Theory and Applications, 2018, 6, pp.251-267. ⟨10.15559/18-VMSTA121⟩ Article dans une revue hal-01491148v3
Invariance principle via orthomartingale approximation Davide Giraudo Stochastics and Dynamics, 2018 Article dans une revue hal-01476384v2
Weak invariance principle in Besov spaces for stationary martingale differences Davide Giraudo,Alfredas Račkauskas Lithuanian Mathematical Journal, 2017, 57 (4), pp.441-467. ⟨10.1007/s10986-017-9370-3⟩ Article dans une revue hal-01392790v1
Orthomartingale-coboundary decomposition for stationary random fields Mohamed El Machkouri,Davide Giraudo Stochastics and Dynamics, 2016, 16 (5) Article dans une revue hal-01073516v2
Holderian weak invariance principle under a Hannan type condition Davide Giraudo Stochastic Processes and their Applications, 2016, 126, ⟨10.1016/j.spa.2015.09.001⟩ Article dans une revue hal-01128232v2
Integrability conditions on coboundary and transfer function for limit theorems Davide Giraudo ALEA : Latin American Journal of Probability and Mathematical Statistics, 2016, 13 (1) Article dans une revue hal-01147859v2
Orthomartingale-coboundary decomposition for stationary random fields Mohamed El Machkouri,Davide Giraudo Stochastics and Dynamics, 2016, 16 (05), pp.1650017. ⟨10.1142/S0219493716500179⟩ Article dans une revue hal-02375089v1
Holderian weak invariance principle for stationary mixing sequences Davide Giraudo Journal of Theoretical Probability, 2015, pp.1-16. ⟨10.1007/s10959-015-0633-9⟩ Article dans une revue hal-01075583v3
A strictly stationary $\beta$-mixing process satisfying the central limit theorem but not the weak invariance principle Davide Giraudo,Dalibor Volný Stochastic Processes and their Applications, 2014, 124, pp.3769-3781. ⟨10.1016/j.spa.2014.06.008⟩ Article dans une revue hal-00911758v2

Communication dans un congrès (1)

Limit theorems: some recent results Laetitia Colombani,Olivier Durieu,Davide Giraudo,Vytauté Pilipauskaité,Lucas Reding Journées MAS 2022, Pierre Calka; Clément Marteau, Aug 2022, Rouen, France. pp.26-50, ⟨10.1051/proc/202580026⟩ Communication dans un congrès hal-05005587v1

Pré-publication, Document de travail (7)

Detection of a breakpoint in a Pareto-type distributed sample using a U-statistic Davide Giraudo,Armelle Guillou 2025 Pré-publication, Document de travail hal-05424414v1
An exponential inequality for Hilbert-valued U-statistics of i.i.d. data Davide Giraudo 2024 Pré-publication, Document de travail hal-04694894v1
Weak and strong law of large numbers for strictly stationary Banach-valued random fields Davide Giraudo 2024 Pré-publication, Document de travail hal-04451818v1
Deviation and moment inequalities for Banach-valued $U$-statistics Davide Giraudo 2024 Pré-publication, Document de travail hal-04566956v1
Limit theorems for U-statistics of Bernoulli data Davide Giraudo 2019 Pré-publication, Document de travail hal-02097836v1
Large deviation inequalities for martingales in Banach spaces Xiequan Fan,Davide Giraudo 2019 Pré-publication, Document de travail hal-02283765v1
Deviation inequalities for Banach space valued martingales differences sequences and random field Davide Giraudo 2016 Pré-publication, Document de travail hal-01280885v3

Thèse (1)

Théorèmes limites de la théorie des probabilités dans les systèmes dynamiques Davide Giraudo Probabilités [math.PR]. Université de Rouen 2015. Français. ⟨NNT : ⟩ Thèse tel-01246592v1

HDR (1)

Théorèmes limites pour les champs aléatoires et U-statistiques et quelques applications Davide Giraudo Statistiques [math.ST]. Université de Strasbourg, 2024 HDR tel-04811587v2