Duke Mathematical Journal

Strong laws for weighted sums of independent identically distributed random variables

I. Assani
Source: Duke Math. J. Volume 88, Number 2 (1997), 217-246.
First Page: Show Hide
Primary Subjects: 60F15
Secondary Subjects: 28D05
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241576
Mathematical Reviews number (MathSciNet): MR1455518
Zentralblatt MATH identifier: 0883.60023
Digital Object Identifier: doi:10.1215/S0012-7094-97-08808-6

References

[A] I. Assani, A weighted pointwise ergodic theorem, preprint, 1993.
[BFKO] J. Bourgain, H. Furstenberg, Y. Katznelson, and D. Ornstein, Return times of dynamical systems (Appendix to J. Bourgain, Pointwise Ergodic Theorems for Arithmetic Sets), Inst. Hautes Études Sci. Publ. Math. 69 (1989), 42–45.
Mathematical Reviews (MathSciNet): MR1019960
Digital Object Identifier: doi:10.1007/BF02698838
[HR] P. L. Hsu and H. Robbins, Complete convergence and the law of large numbers, Proc. Nat. Acad. Sci. U. S. A. 33 (1947), 25–31.
Mathematical Reviews (MathSciNet): MR8,470e
Zentralblatt MATH: 0030.20101
Digital Object Identifier: doi:10.1073/pnas.33.2.25
[JOP] B. Jamison, S. Orey, and W. Pruitt, Convergence of weighted averages of independent random variables, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 4 (1965), 40–44.
Mathematical Reviews (MathSciNet): MR31:6268
Zentralblatt MATH: 0141.16404
Digital Object Identifier: doi:10.1007/BF00535481
[J] R. L. Jones, Inequalities for the ergodic maximal function, Studia Math. 60 (1977), no. 2, 111–129.
Mathematical Reviews (MathSciNet): MR55:3215
Zentralblatt MATH: 0349.47007
[Sa] S. Sawyer, Maximal inequalities of weak type, Ann. of Math. (2) 84 (1966), 157–174.
Mathematical Reviews (MathSciNet): MR35:763
Zentralblatt MATH: 0186.20503
Digital Object Identifier: doi:10.2307/1970516
[St] W. F. Stout, Almost sure convergence, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974.
Mathematical Reviews (MathSciNet): MR56:13334
Zentralblatt MATH: 0321.60022

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?