1 citations · 1 across the 9 of their papers we have counts for
11 papers
Large deviation results for triangular arrays of semiexponential random variables
Thierry Klein, Agnès Lagnoux, Pierre Petit
Asymptotics deviation probabilities of the sum S n = X 1 + + X n of independent and identically distributed real-valued random variables have been extens…
Probabilistic proofs of large deviation results for sums of semiexponential random variables and explicit rate function at the transition
Fabien Brosset, Thierry Klein, Agnès Lagnoux +1
Asymptotics deviation probabilities of the sum S n = X 1 + + X n of independent and identically distributed real-valued random variables have been extens…
A linear version of Dawson-G{ä}rtner theorem -- Applications to Cram{é}r's theory
P Petit
We prove a linear version of Dawson-G{ä}rtner theorem: weak large deviation principles and the equality --s = p* between the negentropy and the Fenchel-Legendre transform of the pr…
A conditional Berry-Esseen inequality
Thierry Klein, A Lagnoux, P Petit
As an extension of a central limit theorem established by Svante Janson, we prove a Berry-Esseen inequality for a sum of independent and identically distributed random variables co…
Deviation results for sparse tables in hashing with linear probing
Thierry Klein, A Lagnoux, P Petit
We consider the model of hashing with linear probing and we establish the moderate and large deviations for the total displacement in sparse tables. In this context, Weibull-like-t…
A conditional Berry-Esseen bound and a conditional large deviation result without Laplace transform. Application to hashing with linear probing
Thierry Klein, Agnès Lagnoux, Pierre Petit
\noindent We study the asymptotic behavior of a sum of independent and identically distributed random variables conditioned by a sum of independent and identically distributed inte…