Artículo
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
Autor/es | Ordóñez Cabrera, Manuel Hilario |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1997 |
Fecha de depósito | 2016-06-03 |
Publicado en |
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Resumen | The convergence in mean of a weighted sum ka.k(Xk EXk) of random
elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. ... The convergence in mean of a weighted sum ka.k(Xk EXk) of random elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. }-compactly uniform integrability of {X. }. This condition, which is implied by the tightness of {X,,} and the {a,,k }-uniform integrability of {[IX,, II}, is weaker than the compactly miform integrability of {X,,} and leads to a result of convergence in mean which is strictly stronger than a recent result of Wang, Rao and Deli. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España Junta de Andalucía |
Identificador del proyecto | PB93-0926 |
Cita | Ordóñez Cabrera, M.H. (1997). Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces. International Journal of Mathematics and Mathematical Sciences, 20, 443-450. |
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