On Valiron means of \(B\)-valued random variables

DOI10.1007/BF02450415zbMath0796.60037OpenAlexW2030421336MaRDI QIDQ1324854

Bernard Heinkel

Publication date: 19 July 1994

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02450415

zbMATH Keywords

law of large numbersBanach spacealmost sure convergencesummability methodsValiron means

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• Isoperimetry and integrability of the sum of independent Banach-space valued random variables
• Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables
• Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
• An infinite-dimensional law of large numbers in Cesaro's sense
• On the almost sure convergence, of order \(\alpha\) in the sense of Césaro, \(0<\alpha<1\), for independent and identically distributed random variables.
• Limit theorems for methods of summation of independent random variables. I
• Limit theorems for methods of summation of independent random variables. II
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Limiting behavior of weighted sums of independent random variables
• Some stability results for vector valued random variables
• Borel and Banach properties of methods of summation
• Riesz and Valiron means and fractional moments
• Regular Methods of Summing Random Terms
• Summability Methods for Independent, Identically Distributed Random Variables
• Sums of independent Banach space valued random variables
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