19 citations · 48 across the 32 of their papers we have counts for
19 papers · 1 filter
On Rozanov's Theorem and strenghtened asymptotic uniform distribution
Michel J. G. Weber
For sums , of independent random variables taking values in we prove, as a consequence of a more general result, that if (i) For some fu…
A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
Michel J. G. Weber
Let be a square integrable random variable with basic probability space $(Ø, \A, ¶)$, taking values in a lattice and such th…
On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
Michel J. G. Weber
Mukhin found in 1984 an important necessary and sufficient condition for the validity of the local limit theorem. Revisiting the succint proof given in \cite{Mu2}, we could only pr…
Classical and Almost Sure Local Limit Theorems
Zbigniew Szewczak, Michel Weber
We present and discuss the many results obtained concerning a famous limit theorem, the local limit theorem, which has many interfaces, with Number Theory notably, and for which, i…
An application of Brascamp-Lieb's inequality
Michel Weber
We use Brascamp-Lieb's inequality to obtain new decoupling inequalities for general Gaussian vectors, and for stationary cyclic Gaussian processes. In the second case, we use a ver…
On the -variation of stochastic processes with exponential moments
Andreas Basse-O'Connor, Michel Weber
We obtain sharp sufficient conditions for exponentially integrable stochastic processes , to have sample paths with bounded -variation. When is m…