We establish deviation inequalities for the maxima of partial sums of a martingale differences sequence, and of an orthomartingale differences random field. These inequalities can be used to give rates for linear regression and the law of large numbers
International audienceIn this paper we study the moderate deviation principle for linear statistics ...
In this paper we study the moderate deviation principle for linear statistics of the type Sn = i∈Z c...
AbstractThis paper presents some generalizations of S. N. Bernstein's exponential bounds on probabil...
We establish deviation inequalities for the maxima of partial sums of a martingale differences seque...
Let (Xi) be a martingale difference sequence and let Sn=[summation operator]i=1nXi. Suppose (Xi) is ...
AbstractThis paper is concerned with large-O error estimates concerning convergence in distribution ...
AbstractThis article deals with quantitative results by involving the standard modulus of continuity...
International audienceWe prove a central limit theorem for stationary multiple (random) fields of ma...
Probabilities of large deviations for sums of i.i.d. Banach space valued random variables are invest...
International audienceAn expansion of large deviation probabilities for martingales is given, which ...
National audienceWe prove a self-normalized large deviation principle for sums of Banach space value...
In this article, we consider sequences of i.i.d. random variables and, under suitable conditions on ...
AbstractIn this paper, we derive the Moderate Deviation Principle for stationary sequences of bounde...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
AbstractThe paper deals with limit theorems for probabilities of large deviations for sums of indepe...
International audienceIn this paper we study the moderate deviation principle for linear statistics ...
In this paper we study the moderate deviation principle for linear statistics of the type Sn = i∈Z c...
AbstractThis paper presents some generalizations of S. N. Bernstein's exponential bounds on probabil...
We establish deviation inequalities for the maxima of partial sums of a martingale differences seque...
Let (Xi) be a martingale difference sequence and let Sn=[summation operator]i=1nXi. Suppose (Xi) is ...
AbstractThis paper is concerned with large-O error estimates concerning convergence in distribution ...
AbstractThis article deals with quantitative results by involving the standard modulus of continuity...
International audienceWe prove a central limit theorem for stationary multiple (random) fields of ma...
Probabilities of large deviations for sums of i.i.d. Banach space valued random variables are invest...
International audienceAn expansion of large deviation probabilities for martingales is given, which ...
National audienceWe prove a self-normalized large deviation principle for sums of Banach space value...
In this article, we consider sequences of i.i.d. random variables and, under suitable conditions on ...
AbstractIn this paper, we derive the Moderate Deviation Principle for stationary sequences of bounde...
We extend Marcinkiewicz-Zygmund strong laws for random fields with values in martingale type p Banac...
AbstractThe paper deals with limit theorems for probabilities of large deviations for sums of indepe...
International audienceIn this paper we study the moderate deviation principle for linear statistics ...
In this paper we study the moderate deviation principle for linear statistics of the type Sn = i∈Z c...
AbstractThis paper presents some generalizations of S. N. Bernstein's exponential bounds on probabil...
DOI
Add to ORKG