Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Dominated permutations of subsequences of random variables

Authors: Aaron Meyerowitz and Mark Schwartz
Journal: Trans. Amer. Math. Soc. 294 (1986), 287-294
MSC: Primary 60F10; Secondary 60A10
MathSciNet review: 819948
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The generalized strong law of large numbers of Komlós may be extended to include certain dominated permutations of the random variables. A further extension to larger classes of permutations is obtained through decompositions of sequences of positive integers.

References [Enhancements On Off] (What's this?)

  • [1] D. J. Aldous, Limit theorems for subsequences of arbitrarily-dependent sequences of random variables, Z. Wahrsch. Verw. Gebiete 40 (1977), 59-82. MR 0455090 (56:13330)
  • [2] N. Etemadi, An elementary proof of the strong law of large numbers, Z. Wahrsch. Verw. Gebiete 55 (1981), 119-122. MR 606010 (82b:60027)
  • [3] J. Komlós, A generalization of a problem of Steinhaus, Acta Math. Acad. Sci. Hungar. 18 (1967), 217-229. MR 0210177 (35:1071)
  • [4] M. Schwartz, Summing subsequences of random variables, Rocky Mountain J. Math. (to appear). MR 882891 (88d:60098)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 60F10, 60A10

Retrieve articles in all journals with MSC: 60F10, 60A10

Additional Information

Keywords: Strong law of large numbers, subsequences, permutations
Article copyright: © Copyright 1986 American Mathematical Society

American Mathematical Society