Stochastic convergence of weighted sums in normed linear spaces

DOI10.1016/0047-259X(75)90027-5zbMath0339.60004MaRDI QIDQ1231319

W. J. Padgett, Robert Lee Taylor

Publication date: 1975

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Stochastic processes (60G99)

Related Items

Strong convergence of weighted sums of random elements through the equivalence of sequences of distributions, Limit theorems for weighted sums of random elements in separable Banach spaces, General theorems on Little-\(\mathcal O\) rates of closeness of two weighted sums of independent Hilbert space valued random variables with applications, A review on strong convergence of weighted sums of random elements based on Wasserstein metrics, Negative dependence in banach spaces and laws of large numbers, Strong laws of large numbers for negatively dependent random elements, Rates of convergence for the laws of large numbers for independent Banach-valued random variables, Stochastic convergence of weighted sums in normed linear spaces, Martingale convergence, series expansion of Gaussian elements, and strong law of large numbers in Frechet spaces, Determining the form of the mean of a stochastic process, Convergence of weighted sums of tight random elements, On the Strong Law of Large Numbers for Weighted Sums of Random Elements in Banach Space, Some remarks on the strong law of large numbers for Banach-space valued weakly integrable random variables, Convergence in the \(p\)th-mean and some weak laws of large numbers for weighted sums of random elements in separable normed linear spaces, New sequential compactness results for spaces of scalarly integrable functions

Cites Work

• Stochastic convergence of weighted sums in normed linear spaces
• Convergence of weighted averages of independent random variables
• On a Convexity Condition in Normed Linear Spaces
• Introduction to the Theory of Bases
• Probability in function space
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