3 papers
math.PR2023
Convergence to the uniform distribution of vectors of partial sums modulo one with a common factor
Roberta Flenghi, Benjamin Jourdain
In this work, we prove the joint convergence in distribution of variables modulo one obtained as partial sums of a sequence of i.i.d. square integrable random variables multipl…
math.PR2023
Central limit theorem for the stratified resampling mechanism
Roberta Flenghi, Benjamin Jourdain
The stratified resampling mechanism is one of the resampling schemes commonly used in the resampling steps of particle filters. In the present paper, we prove a central limit theor…
math.PR2022
Central limit theorem over non-linear functionals of empirical measures: beyond the iid setting
Roberta Flenghi, Benjamin Jourdain
The central limit theorem is, with the strong law of large numbers, one of the two fundamental limit theorems in probability theory. Benjamin Jourdain and Alvin Tse have extended t…