Search Results - "Giraudo, Davide"

Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields by Giraudo, Davide

“…We prove moment inequalities for a class of functionals of i.i.d. random fields. We then derive rates in the central limit theorem for weighted sums of such…”
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Deviation inequality for Banach-valued orthomartingales by Giraudo, Davide

“…We show a deviation inequality inequalities for multi-indexed martingale We then provide applications to kernel regression for random fields and rates in the…”
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Some notes on ergodic theorem for U-statistics of order m for stationary and not necessarily ergodic sequences by Giraudo, Davide

“…In this note, we give sufficient conditions for the almost sure and the convergence in Lp of a U-statistic of order m built on a strictly stationary but not…”
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Some notes on ergodic theorem for $U$-statistics of order $m$ for stationary and not necessarily ergodic sequences: Some notes on ergodic theorems for$U$-statistics of order $m by Giraudo, Davide

“…In this note, we give sufficient conditions for the almost sure and the convergence in $\mathbb{L}^p$ of a $U$-statistic of order $m$ built on a strictly…”
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Maximal function associated to the bounded law of the iterated logarithms via orthomartingale approximation by Giraudo, Davide

“…We give sufficient conditions for the bounded law of the iterated logarithms for strictly stationary random fields when the summation is done on rectangle. The…”
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An exponential inequality for orthomartingale difference random fields and some applications by Giraudo, Davide

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Bound on the maximal function associated to the law of the iterated logarithms for Bernoulli random fields by Giraudo, Davide

“…We provide a sufficient condition for the bounded law of the iterated logarithms for strictly stationary random fields expressable as a functional of i.i.d…”
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Holderian weak invariance principle under a Hannan type condition by Giraudo, Davide

“…We investigate the invariance principle in Hölder spaces for strictly stationary martingale difference sequences. In particular, we show that the sufficient…”
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Holderian Weak Invariance Principle for Stationary Mixing Sequences by Giraudo, Davide

“…We provide some sufficient mixing conditions on a strictly stationary sequence in order to guarantee the weak invariance principle in Hölder spaces. Strong…”
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Change-Point Tests for the Tail Parameter of Long Memory Stochastic Volatility Time Series by Betken, Annika, Giraudo, Davide, Kulik, Rafal

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Some remarks on the ergodic theorem for U -statistics by Dehling, Herold, Giraudo, Davide, Volný, Dalibor

“…In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost…”
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Weak invariance principle in Besov spaces for stationary martingale differences by Giraudo, Davide, Račkauskas, Alfredas

“…The classical Donsker weak invariance principle is extended to a Besov spaces framework. Polygonal line processes build from partial sums of stationary…”
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An exponential inequality for Hilbert-valued U-statistics of i.i.d. data by Giraudo, Davide

“…In this paper, we establish an exponential inequality for U-statistics of i.i.d. data, varying kernel and taking values in a separable Hilbert space. The bound…”
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Deviation and moment inequalities for Banach-valued $U$-statistics by Giraudo, Davide

“…We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We…”
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Weak and strong law of large numbers for strictly stationary Banach-valued random fields by Giraudo, Davide

“…In this paper, we investigate the law of large numbers for strictly stationary random fields, that is, we provide sufficient conditions on the moments and the…”
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Functional central limit theorem and Marcinkiewicz strong law of large numbers for Hilbert-valued U-statistics of absolutely regular data by Giraudo, Davide

“…In this paper, we investigate the functional central limit theorem and the Marcinkiewicz strong law of large numbers for U-statistics having absolutely regular…”
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Some notes on ergodic theorem for $U$-statistics of order $m$ for stationary and not necessarily ergodic sequences by Giraudo, Davide

“…In this note, we give sufficient conditions for the almost sure and the convergence in $\mathbb{L}^p$ of a $U$-statistic of order $m$ built on a strictly…”
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An exponential inequality for orthomartingale differences random fields and some applications by Giraudo, Davide

“…Annales Henri Lebesgue, Volume 6 (2023), pp. 575-594 In this paper, we establish an exponential inequality for random fields, which is applied in the context…”
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A strictly stationary β-mixing process satisfying the central limit theorem but not the weak invariance principle by Giraudo, Davide, Volný, Dalibor

“…In 1983, N. Herrndorf proved that for a ϕ-mixing sequence satisfying the central limit theorem and lim infn→∞σn2/n>0, the weak invariance principle takes…”
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Deviation inequality for Banach-valued orthomartingales by Giraudo, Davide

“…Stochastic Process. Appl.175(2024) We show a deviation inequality inequalities for multi-indexed martingale We then provide applications to kernel regression…”
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