ON THE WEAK LAWS WITH RANDOM INDICES FOR PARTIAL SUMS FOR ARRAYS OF RANDOM ELEMENTS IN MARTINGALE TYPE p BANACH SPACES

Soo-Hak Sung; Tien-Chung Hu; Andrei I. Volodin

doi:10.4134/bkms.2006.43.3.543

ON THE WEAK LAWS WITH RANDOM INDICES FOR PARTIAL SUMS FOR ARRAYS OF RANDOM ELEMENTS IN MARTINGALE TYPE p BANACH SPACES

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2006.43.3.543 ◽

2006 ◽

Vol 43 (3) ◽

pp. 543-549

Author(s):

Soo-Hak Sung ◽

Tien-Chung Hu ◽

Andrei I. Volodin

Keyword(s):

Banach Spaces ◽

Partial Sums ◽

Random Elements ◽

Weak Laws ◽

Random Indices

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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

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On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces

Statistics & Probability Letters ◽

10.1016/s0167-7152(99)00103-0 ◽

2000 ◽

Vol 46 (2) ◽

pp. 177-185 ◽

Cited By ~ 7

Author(s):

Dug Hun Hong ◽

Manuel Ordóñez Cabrera ◽

Soo Hak Sung ◽

Andrei I. Volodin

Keyword(s):

Banach Spaces ◽

Partial Sums ◽

Random Elements

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A Weak Law with Random Indices for Randomly Weighted Sums of Rowwise Independent Random Elements in Rademacher Type p Banach Spaces

Calcutta Statistical Association Bulletin ◽

10.1177/0008068320020504 ◽

2002 ◽

Vol 52 (1-4) ◽

pp. 85-98 ◽

Cited By ~ 1

Author(s):

Andrew Rosalsky ◽

M. Sreehari ◽

Andrei I. Volodin

Keyword(s):

Banach Spaces ◽

Weighted Sums ◽

Randomly Weighted Sums ◽

Random Elements ◽

Rowwise Independent ◽

Random Indices

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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

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A weak law with random indices for randomly weighted sums of random elements in Martingale type p Banach spaces

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00263-2 ◽

2001 ◽

Vol 47 (2) ◽

pp. 1257-1270 ◽

Cited By ~ 1

Author(s):

Andrew Rosalsky ◽

M. Sreehari

Keyword(s):

Banach Spaces ◽

Weighted Sums ◽

Randomly Weighted Sums ◽

Random Elements ◽

Random Indices

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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

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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

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Weak Laws for the Increments of Wiener Processes, Brownian Bridges Empirical Processes and Partial Sums of I.I.D.R.V.’S

Mathematical Statistics and Probability Theory ◽

10.1007/978-94-009-3963-9_7 ◽

1987 ◽

pp. 69-88 ◽

Cited By ~ 4

Author(s):

Paul Deheuvels ◽

Pál Révész

Keyword(s):

Empirical Processes ◽

Partial Sums ◽

Wiener Processes ◽

Brownian Bridges ◽

Weak Laws

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Marcinkiewicz strong laws of large numbers and convergence rates for arrays of independent random elements in banach spaces

Stochastic Analysis and Applications ◽

10.1080/07362999208809265 ◽

1992 ◽

Vol 10 (2) ◽

pp. 223-237 ◽

Cited By ~ 1

Author(s):

Kuo-Liang Su ◽

Robert L. Taylor

Keyword(s):

Banach Spaces ◽

Convergence Rates ◽

Laws Of Large Numbers ◽

Strong Laws ◽

Large Numbers ◽

Random Elements

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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

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