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math.ST2010
Asymptotic normality of the Parzen-Rosenblatt density estimator for strongly mixing random fields
Mohamed El Machkouri
We prove the asymptotic normality of the kernel density estimator (introduced by Rosenblatt (1956) and Parzen (1962)) in the context of stationary strongly mixing random fields. Ou…
math.PR2010★ 1 cited
Berry-Esseen's central limit theorem for non-causal linear processes in Hilbert space
Mohamed EL Machkouri
Let be a real separable Hilbert space and a sequence of bounded linear operators from to . We consider the linear process defined for any $k…