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math.ST2007★ 105 cited
Exponential inequalities for self-normalized martingales with applications
Bernard Bercu, Abderrahmen Touati
We propose several exponential inequalities for self-normalized martingales similar to those established by De la Peña. The keystone is the introduction of a new notion of random v…
math.ST2006★ 14 cited
Identification of multitype branching processes
F. Maaouia, A. Touati
We solve the problem of constructing an asymptotic global confidence region for the means and the covariance matrices of the reproduction distributions involved in a supercritical…