8 citations · 12 across the 2 of their papers we have counts for
2 papers
math.ST2021★ 4 cited
Counterexamples to the classical central limit theorem for triplewise independent random variables having a common arbitrary margin
Guillaume Boglioni Beaulieu, Pierre Lafaye de Micheaux, Frédéric Ouimet
We present a general methodology to construct triplewise independent sequences of random variables having a common but arbitrary marginal distribution (satisfying very mild con…
math.PR2020★ 8 cited
A counterexample to the central limit theorem for pairwise independent random variables having a common arbitrary margin
Benjamin Avanzi, Guillaume Boglioni Beaulieu, Pierre Lafaye de Micheaux +2
The Central Limit Theorem (CLT) is one of the most fundamental results in statistics. It states that the standardized sample mean of a sequence of mutually independent and iden…