Strong laws for weighted sums of independent identically distributed random variables

Duke Mathematical Journal

Volumn 88, Issue 2, 1997, Pages 217-246

  Assani, I ^a  

^a The University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041139994     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-97-08808-6     Document Type: Article

References (7)

1. I. Assani, A weighted pointwise ergodic theorem, preprint, 1993.
2. 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.
3. 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.
4. B. Jamison, S. Orey, and W. Pruitt, Convergence of weighted averages of independent random variables, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 4 (1965), 40-44.
5. R. L. Jones, Inequalities for the ergodic maximal function, Studia Math. 60 (1977), 111-129.
6. S. Sawyer, Maximal inequalities of weak type, Ann. of Math. (2) 84 (1966), 157-174.
7. W. F. Stout, Almost Sure Convergence, Probab. Math. Statist. 24, Academic Press, New York, 1974.