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Original Articles

On the Set of Limit Points of Normed Sums of Geometrically Weighted I.I.D. Unbounded Random Variables

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Pages 862-883 | Received 26 Aug 2009, Accepted 07 Oct 2009, Published online: 11 Aug 2010

References

  • Chow , Y.S. , and Teicher , H. 1997 . Probability Theory: Independence, Interchangeability, Martingales. , 3rd ed. Springer-Verlag , New York .
  • Hildebrand , A. 1992 . A note on the convergence of sums of independent random variables . Annals of Probability 20 : 1204 – 1212 .
  • Klesov , O. , Rosalsky , A. , and Volodin , A.I. 2005 . On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables . Statistics & Probability Letters 71 : 193 – 202 .
  • Li , D. , Qi , Y. , and Rosalsky , A. 2010 . On the set of limit points of normed sums of geometrically weighted i.i.d. bounded random variables . Stochastic Analysis and Applications 28 : 86 – 102 .
  • Rosalsky , A. 1981 . Lim sup behavior of sums of geometrically weighted i.i.d. random variables . Stochastic Processes and Their Applications 11 : 297 – 300 .
  • Royden , H.L. 1968 . Real Analysis. , 2nd ed. Macmillan , New York .
  • Stout , W.F. 1974 . Almost Sure Convergence . Academic Press , New York .

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