Complete moment convergence for weighted sums of sequences of independent random elements in Banach spaces

• Autores: Dehua Qiu, Henar Urmeneta Martín-Calero , Andrei Volodin
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 2, 2014, págs. 155-167
• Idioma: inglés
• DOI: 10.1007/s13348-013-0089-0
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• Resumen

  • In this paper, we obtain complete moment convergence results for weighted sums of sequences of independent random elements in a real separable Banach spaces without any geometric conditions imposed on the Banach space. Our results improve and extend some well known results from the literature. Furthermore, we obtain a complete moment convergence results for weighted sums of arrays of arbitrary random elements.