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Variables in Hilbert spaces 1 Weak convergence 1 m–approximability 1
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Berkes, István 1 Horváth, Lajos 1 Rice, Gregory 1
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Stochastic Processes and their Applications 1
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Weak invariance principles for sums of dependent random functions
Berkes, István; Horváth, Lajos; Rice, Gregory - In: Stochastic Processes and their Applications 123 (2013) 2, pp. 385-403
Motivated by problems in functional data analysis, in this paper we prove the weak convergence of normalized partial sums of dependent random functions exhibiting a Bernoulli shift structure.
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