On the complete convergence of sequences of random elements in Banach spaces

Acta Mathematica Hungarica ◽

10.1007/s10474-019-00929-2 ◽

2019 ◽

Vol 159 (2) ◽

pp. 511-519

Author(s):

N. V. Huan

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Random Elements ◽

Convergence Of Sequences

Download Full-text

Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type p and martingale type p Banach spaces

Stochastic Analysis and Applications ◽

10.1080/07362994.2019.1641414 ◽

2019 ◽

Vol 37 (6) ◽

pp. 1092-1106

Author(s):

Tien-Chung Hu ◽

Andrew Rosalsky ◽

Andrei Volodin

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Convergence Theorems ◽

Random Elements

Download Full-text

Necessary and sufficient conditions for complete convergence of double weighted sums of pairwise independent identically distributed random elements in Banach spaces

Acta Mathematica Hungarica ◽

10.1007/s10474-018-0876-x ◽

2018 ◽

Vol 157 (2) ◽

pp. 312-326

Author(s):

L. V. Thanh ◽

N. T. Thuy

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Weighted Sums ◽

Random Elements ◽

Necessary And Sufficient ◽

Independent Identically Distributed

Download Full-text

On complete convergence in mean for double sums of independent random elements in Banach spaces

Acta Mathematica Hungarica ◽

10.1007/s10474-016-0665-3 ◽

2016 ◽

Vol 150 (2) ◽

pp. 456-471 ◽

Author(s):

L. V. Thanh ◽

N. T. Thuy

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Random Elements ◽

Complete Convergence In Mean ◽

Convergence In Mean

Download Full-text

A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces. II

Stochastic Analysis and Applications ◽

10.1080/07362994.2020.1791721 ◽

2020 ◽

Vol 39 (1) ◽

pp. 177-193

Author(s):

Tien-Chung Hu ◽

Andrew Rosalsky ◽

Andrei Volodin ◽

Sen Zhang

Keyword(s):

Banach Spaces ◽

Convergence Theorem ◽

Complete Convergence ◽

Random Elements ◽

Rowwise Independent ◽

Complete Convergence Theorem

Download Full-text

On Complete Convergence in Mean of Normed Sums of Independent Random Elements in Banach Spaces

Stochastic Analysis and Applications ◽

10.1080/07362990500397319 ◽

2006 ◽

Vol 24 (1) ◽

pp. 23-35 ◽

Author(s):

Andrew Rosalsky ◽

Le Van Thanh ◽

Andrei I. Volodin

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Random Elements ◽

Complete Convergence In Mean ◽

Convergence In Mean

Download Full-text

Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type p Banach spaces

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080211010112 ◽

2011 ◽

Vol 32 (1) ◽

pp. 71-87

Author(s):

Tien-Chung Hu ◽

Andrew Rosalsky ◽

Kuo-Lung Wang

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Convergence Results ◽

Random Elements ◽

Rowwise Independent

Download Full-text

Almost Sure and Complete Convergence of Randomly Weighted Sums of Independent Random Elements in Banach Spaces

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500406378 ◽

2011 ◽

Vol 15 (4) ◽

pp. 1759-1781 ◽

Author(s):

Le Van Thanh ◽

G. Yin

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Weighted Sums ◽

Randomly Weighted Sums ◽

Random Elements

Download Full-text

On complete convergence in mean for double sums of independent random elements in Banach spaces

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080217010164 ◽

2017 ◽

Vol 38 (1) ◽

pp. 177-191

Author(s):

R. Parker ◽

A. Rosalsky

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Random Elements ◽

Complete Convergence In Mean ◽

Convergence In Mean

Download Full-text

On complete convergence for arrays of rowwise independent random elements in banach spaces

Stochastic Analysis and Applications ◽

10.1080/07362999908809645 ◽

1999 ◽

Vol 17 (6) ◽

pp. 963-992 ◽

Author(s):

Tien-Chung Hu ◽

Andrew Rosalsky ◽

Dominik Szynal ◽

Andrej I. Volodin

Keyword(s):

Banach Spaces ◽

Complete Convergence ◽

Random Elements ◽

Rowwise Independent

Download Full-text

Complete convergence for sums of arrays of random elements

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171200003112 ◽

2000 ◽

Vol 23 (11) ◽

pp. 789-794 ◽

Author(s):

Soo Hak Sung

Keyword(s):

Complete Convergence ◽

Moment Conditions ◽

Random Elements ◽

Rowwise Independent

Let{Xni}be an array of rowwise independentB-valued random elements and{an}constants such that0<an↑∞. Under some moment conditions for the array, it is shown that∑i=1nXni/anconverges to0completely if and only if∑i=1nXni/anconverges to0in probability.

Download Full-text