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# Publications

1. Betken, Annika; Giraudo Davide; Kulik, Rafal Change-Point Tests for the Tail Parameter of Long Memory Stochastic Volatility Time Series, to appear in Statistica Sinica
2. Giraudo, Davide. An Exponential Inequality for $$U$$-Statistics of I.I.D. Data, Theory of Probability & Its Applications, 2021, Vol. 66, No. 3 : pp. 408-429
3. Giraudo, Davide. Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields, Stochastics (2021)
4. Dehling, Herold; Giraudo, Davide; Sharipov, Olimjon. Convergence of the empirical two-sample $$U$$-statistics with $\beta$-mixing data. Acta Math. Hungar. 164 (2021), no. 2, 377--412.
5. Giraudo, Davide. Limit theorems for $U$-statistics of Bernoulli data. ALEA Lat. Am. J. Probab. Math. Stat. 18 (2021), no. 1, 793--828
6. Giraudo, Davide. Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation. J. Math. Anal. Appl. 496 (2021), no. 1, Paper No. 124792, 25 pp
7. Giraudo, Davide. Deviation inequalities for Banach space valued martingales differences sequences and random fields. ESAIM Probab. Stat. 23 (2019), 922--946.
8. Giraudo, Davide. Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields. Mod. Stoch. Theory Appl. 6 (2019), no. 2, 251--267.
9. Giraudo, Davide. Invariance principle via orthomartingale approximation. Stoch. Dyn. 18 (2018), no. 6, 1850043, 29 pp.
10. Giraudo, Davide. Hölderian weak invariance principle under the Maxwell and Woodroofe condition. Braz. J. Probab. Stat. 32 (2018), no. 1, 172--187.
11. Giraudo, Davide; Račkauskas, Alfredas. Weak invariance principle in some Besov spaces for stationary martingale differences. Lith. Math. J. 57 (2017), no. 4, 441--467.
12. Giraudo, Davide. Holderian weak invariance principle for stationary mixing sequences. J. Theoret. Probab. 30 (2017), no. 1, 196--211.
13. El Machkouri, Mohamed; Giraudo, Davide. Orthomartingale-coboundary decomposition for stationary random fields. Stoch. Dyn. 16 (2016), no. 5, 1650017, 28 pp.
14. Giraudo, Davide. Integrability conditions on coboundary and transfer function for limit theorems. ALEA Lat. Am. J. Probab. Math. Stat. 13 (2016), no. 1, 399--415.
15. Giraudo, Davide. Holderian weak invariance principle under a Hannan type condition. Stochastic Process. Appl. 126 (2016), no. 1, 290--311.
16. Giraudo, Davide. An improvement of the mixing rates in a counter-example to the weak invariance principle. C. R. Math. Acad. Sci. Paris 353 (2015), no. 10, 953--958.
17. Giraudo, Davide; Volný, Dalibor. A counter-example to the central limit theorem in Hilbert spaces under a strong mixing condition. Electron. Commun. Probab. 19 (2014), no. 62, 12 pp.
18. Giraudo, Davide; Volný, Dalibor. A strictly stationary $$\beta$$-mixing process satisfying the central limit theorem but not the weak invariance principle. Stochastic Process. Appl. 124 (2014), no. 11, 3769--3781.