On the stochastic convergence of random vectors in real Hilbert space

The main objectives of this paper are: I — to obtain lower bounds of the probability of events that are the intersection of a denumerable or finite family of events, related each one with a random variable. II — to study the stochastic convergence of sequences of random vectors as arising from conditions imposed on the sequences of the components with the same index. The case we are mainly interested in is when the vectors have denumerable sets of components although we also consider the case when there is only a finite number of components.

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Gazeta nº 94, pág. nº 2 | Categoria: Artigos | Palavras-Chave: gazeta, matemática, convergência, estocástica, vetores, aleatórios, Hilbert
Autor(es): João Tiago Mexia |