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Remarks on Yu Miao and Shoufang Xu's paper "almost sure convergence of weighted sums"

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Resumo:It is pointed out that a general theorem presented in Yu Miao and Shoufang Xu's paper has a serious gap. In this small note, a counterexample for this theorem is provided exhibiting a triangular array of real numbers and a sequence of independent identically distributed random variables for which its conclusion fails. An reformulation of Yu Miao and Shoufang Xu's general theorem is performed making this statement true.
Autores principais:da Silva, João Lita
Assunto:Almost sure convergence Triangular arrays Weighted sums Algebra and Number Theory Analysis Control and Optimization Discrete Mathematics and Combinatorics Numerical Analysis
Ano:2015
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade Nova de Lisboa
Idioma:inglês
Origem:Repositório Institucional da UNL

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