Central limit theorems for Hilbert-space valued random fields satisfying a strong mixing condition

Abstract

In this paper we study the asymptotic normality of the normalized partial sum of a Hilbert-space valued strictly stationary random field satisfying the interlaced ${\rho }^{\prime }$-mixing condition.

17 pages

Cited by in corpus (1)

• A counter example to central limit theorem in Hilbert spaces under a strong mixing condition