A characterization of p-uniformly smooth Banach spaces and weak laws of large numbers for d-dimensional adapted arrays

Nguyen Van Quang; Nguyen Van Huan

doi:10.1007/s13171-010-0020-7

A characterization of p-uniformly smooth Banach spaces and weak laws of large numbers for d-dimensional adapted arrays

Sankhya A ◽

10.1007/s13171-010-0020-7 ◽

2010 ◽

Vol 72 (2) ◽

pp. 344-358 ◽

Cited By ~ 1

Author(s):

Nguyen Van Quang ◽

Nguyen Van Huan

Keyword(s):

Banach Spaces ◽

Laws Of Large Numbers ◽

Uniformly Smooth ◽

Large Numbers ◽

Weak Laws ◽

Uniformly Smooth Banach Spaces

Download Full-text

Central limit theorems and weak laws of large numbers in certain banach spaces

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00535258 ◽

1983 ◽

Vol 62 (3) ◽

pp. 323-354 ◽

Cited By ~ 24

Author(s):

Evarist Gin� ◽

Joel Zinn

Keyword(s):

Banach Spaces ◽

Central Limit ◽

Limit Theorems ◽

Central Limit Theorems ◽

Laws Of Large Numbers ◽

Large Numbers ◽

Weak Laws

Download Full-text

Weak laws of large numbers for double sums of independent random elements in Rademacher type p and stable type p Banach spaces

Nonlinear Analysis ◽

10.1016/j.na.2009.01.094 ◽

2009 ◽

Vol 71 (12) ◽

pp. e1065-e1074 ◽

Cited By ~ 4

Author(s):

Andrew Rosalsky ◽

Le Van Thanh

Keyword(s):

Banach Spaces ◽

Laws Of Large Numbers ◽

Stable Type ◽

Large Numbers ◽

Random Elements ◽

Weak Laws

Download Full-text

Weak laws of large numbers in Banach spaces and their extensions

Lecture Notes in Mathematics - Probability in Banach Spaces ◽

10.1007/bfb0082357 ◽

1976 ◽

pp. 227-242 ◽

Cited By ~ 1

Author(s):

R. L. Taylor ◽

W. J. Padgett

Keyword(s):

Banach Spaces ◽

Laws Of Large Numbers ◽

Large Numbers ◽

Weak Laws

Download Full-text

ON THE MARCINKIEWICZ WEAK LAWS OF LARGE NUMBERS IN BANACH SPACES

Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics, Turku, Finland, August 13–16, 1991 ◽

10.1515/9783112314203-022 ◽

1993 ◽

pp. 269-286

Keyword(s):

Banach Spaces ◽

Laws Of Large Numbers ◽

Large Numbers ◽

Weak Laws

Download Full-text

The non i.i.d. strong law of large numbers in 2-uniformly smooth Banach spaces

Lecture Notes in Mathematics - Probability Theory on Vector Spaces III ◽

10.1007/bfb0099787 ◽

1984 ◽

pp. 90-118 ◽

Cited By ~ 4

Author(s):

Bernard Heinkel

Keyword(s):

Banach Spaces ◽

Law Of Large Numbers ◽

Strong Law ◽

Uniformly Smooth ◽

Large Numbers ◽

Uniformly Smooth Banach Spaces

Download Full-text

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2010.47.3.467 ◽

2010 ◽

Vol 47 (3) ◽

pp. 467-482 ◽

Cited By ~ 1

Author(s):

Le Van Dung ◽

Nguyen Duy Tien

Keyword(s):

Banach Spaces ◽

Convergence Theorems ◽

Laws Of Large Numbers ◽

Mean Convergence ◽

Large Numbers ◽

Random Elements ◽

Weak Laws

Download Full-text

A numerical range characterization of uniformly smooth Banach spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-00-05621-5 ◽

2000 ◽

Vol 129 (3) ◽

pp. 815-821 ◽

Cited By ~ 3

Author(s):

Angel Rodriguez Palacios

Keyword(s):

Banach Spaces ◽

Numerical Range ◽

Uniformly Smooth ◽

Uniformly Smooth Banach Spaces ◽

Range Characterization

Download Full-text

On the strong law of large numbers and -convergence for double arrays of random elements in -uniformly smooth Banach spaces

Statistics & Probability Letters ◽

10.1016/j.spl.2009.05.014 ◽

2009 ◽

Vol 79 (18) ◽

pp. 1891-1899 ◽

Cited By ~ 7

Author(s):

Nguyen Van Quang ◽

Nguyen Van Huan

Keyword(s):

Banach Spaces ◽

Law Of Large Numbers ◽

Strong Law ◽

Uniformly Smooth ◽

Large Numbers ◽

Random Elements ◽

Uniformly Smooth Banach Spaces

Download Full-text

On the Law of Large Numbers in 2-Uniformly Smooth Banach Spaces

The Annals of Probability ◽

10.1214/aop/1176993233 ◽

1984 ◽

Vol 12 (3) ◽

pp. 851-857 ◽

Cited By ~ 5

Author(s):

Bernard Heinkel

Keyword(s):

Banach Spaces ◽

Law Of Large Numbers ◽

Uniformly Smooth ◽

Large Numbers ◽

The Law ◽

Uniformly Smooth Banach Spaces

Download Full-text

Marcinkiewicz-zygmund weak laws of large numbers for unconditional random elements in Banach spaces

Lecture Notes in Mathematics - Probability in Banach Spaces III ◽

10.1007/bfb0090617 ◽

1981 ◽

pp. 219-230 ◽

Cited By ~ 2

Author(s):

Joseph O. Howell ◽

Robert L. Taylor

Keyword(s):

Banach Spaces ◽

Laws Of Large Numbers ◽

Large Numbers ◽

Random Elements ◽

Weak Laws

Download Full-text