On complete convergence and complete moment convergence for weighted sums of [Formula: see text] -mixing random variables

Let [Formula: see text] , [Formula: see text] , and [Formula: see text] with [Formula: see text] . Let [Formula: see text] be an array of constants satisfying [Formula: see text] , and let [Formula: see text] be a sequence of identically distributed [Formula: see text] -mixing random variables. For...

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Detalles Bibliográficos
Autores principales: Chen, Pingyan, Sung, Soo Hak
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5982509/
https://www.ncbi.nlm.nih.gov/pubmed/29901025
http://dx.doi.org/10.1186/s13660-018-1710-2
Descripción
Sumario:Let [Formula: see text] , [Formula: see text] , and [Formula: see text] with [Formula: see text] . Let [Formula: see text] be an array of constants satisfying [Formula: see text] , and let [Formula: see text] be a sequence of identically distributed [Formula: see text] -mixing random variables. For each of the three cases [Formula: see text] , [Formula: see text] , and [Formula: see text] , we provide moment conditions under which [Formula: see text] We also provide moment conditions under which [Formula: see text] where [Formula: see text] . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab. Lett. 127:55–66, 2017).

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