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

@article{Son2014,
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.},
author = {Son, Ta Cong, Thang, Dang Hung, Dung, Le Van},
journal = {Applications of Mathematics},
keywords = {complete convergence in mean; double array of random variables with values in Banach space; martingale difference double array; strong law of large numbers; $p$-uniformly smooth space; complete convergence in mean; double array of random variables with values in Banach space; martingale difference double array; strong law of large numbers; -uniformly smooth space},
language = {eng},
number = {2},
pages = {177-190},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Complete convergence in mean for double arrays of random variables with values in Banach spaces},
url = {http://eudml.org/doc/261082},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Son, Ta Cong
AU - Thang, Dang Hung
AU - Dung, Le Van
TI - Complete convergence in mean for double arrays of random variables with values in Banach spaces
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 2
SP - 177
EP - 190
AB - 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.
LA - eng
KW - complete convergence in mean; double array of random variables with values in Banach space; martingale difference double array; strong law of large numbers; $p$-uniformly smooth space; complete convergence in mean; double array of random variables with values in Banach space; martingale difference double array; strong law of large numbers; -uniformly smooth space
UR - http://eudml.org/doc/261082
ER -