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math.PR2009★ 2 cited
A multiple stochastic integral criterion for almost sure limit theorems
Bernard Bercu, Ivan Nourdin, Murad S. Taqqu
In this paper, we study almost sure central limit theorems for multiple stochastic integrals and provide a criterion based on the kernel of these multiple integrals. We apply our r…
math.PR2008★ 1 cited
Asymptotic analysis for bifurcating autoregressive processes via a martingale approach
Bernard Bercu, Benoite de Saporta, Anne Gegout-Petit
We study the asymptotic behavior of the least squares estimators of the unknown parameters of bifurcating autoregressive processes. Under very weak assumptions on the driven noise…