Complete convergence in mean for double arrays of random variables with values in Banach spaces.

Autor:	Son, Ta Cong
Další autoři:	Thang, Dang Hung Dung, Le Van
Jazyk:	angličtina
Předmět:	matematická analýza Banachovy prostory mathematical analysis Banach spaces články journal articles complete convergence in mean martingale difference double array strong law of large numbers p-uniformly smooth space
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order p). In this paper, we give some new results of complete convergence in mean of order p and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink