2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171121For an arbitrary integer N that is at least 2, this paper gives a construction of a strictly stationary, N-tuplewise independent sequence of (non-degenerate) bounded random variables such that the Central Limit Theorem fails to hold. The sequence is in part an adaptation of a non-stationary example with similar properties constructed by one of the authors (ARP) in a paper published in 1998.25 pagesProbability60G10; 60F05A strictly stationary, N-tuplewise independent counterexample to the central limit theoremtext