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Stochastic Analysis and Applications Volume 2, 1984 - Issue 3
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Original Articles

Stochastic convergence of randomly weighted sums of random elements

Robert Lee Taylor Department of Statistics and Computer Scienc, University of Georgi, Athens, Georgia, 30602
,
Carol Calhoun Raina Department of Mathematics, East Carolina University, Greenville, North Carolin, 27834
&
Peter Z. Daffer Department of Mathematics, Vanderbilt University, Nashville, Tennesse, 37235
Pages 299-321 | Published online: 03 Apr 2007

Citations (9)

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Read on this site (3)

Tien-Chung Hu, Andrew Rosalsky & Andrei Volodin. (2019) 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 37:6, pages 1092-1106.
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Andrew Rosalsky, M. Sreehari & Andrei I. Volodin. (2003) Mean Convergence Theorems with or without Random Indices for Randomly Weighted Sums of Random Elements in Rademacher Type p Banach Spaces. Stochastic Analysis and Applications 21:5, pages 1169-1187.
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Ronald F. Patterson, Robert L. Taylor & Hiroshi Inoue. (1989) Strong convergence for sums of randomly weighted, rowwise exchangeable random variables. Stochastic Analysis and Applications 7:3, pages 309-323.
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Articles from other publishers (6)

Gan Shixin. (2010) On almost sure convergence of weighted sums of random element sequences. Acta Mathematica Scientia 30:4, pages 1021-1028.
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Tien-Chung Hu, Manuel Ordóñez Cabrera & Andrei I. Volodin. (2001) Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights. Statistics & Probability Letters 51:2, pages 155-164.
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Andrew Rosalsky & M. Sreehari. (1998) On the limiting behavior of randomly weighted partial sums. Statistics & Probability Letters 40:4, pages 403-410.
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Peter Z Daffer. (1991) Convergence of weighted sums of random functions in D[0, 1]. Journal of Multivariate Analysis 38:2, pages 319-332.
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Pete Daffer & Loana Schiopu‐Kratina. (2008) L 1 ‐Tightness and the law of large numbers in D (IR) . Canadian Journal of Statistics 16:4, pages 393-397.
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M.Ordóñez Cabrera. (1988) Limit theorems for randomly weighted sums of random elements in normed linear spaces. Journal of Multivariate Analysis 25:1, pages 139-145.
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