Weak and Almost Sure Convergence for Products of Sums of Associated Random Variables

@inproceedings{Matula2012WeakAA,
  title={Weak and Almost Sure Convergence for Products of Sums of Associated Random Variables},
  author={Przemyslaw Matula and Iwona Stȩpień},
  year={2012}
}
We study weak convergence of product of sums of stationary sequences of associated random variables to the log-normal law. The almost sure version of this result is also presented. The obtained theorems extend and generalize some of the results known so far for independent or associated random variables. 

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The almost sure local central limit theorem for products of partial sums under negative association

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SHOWING 1-10 OF 10 REFERENCES

Rempała, “A note on the almost sure limit theorem for the product of partial sums,

  • G.A.K. Gonchigdanzan
  • Applied Mathematics Letters,
  • 2006

Some concepts of dependence,

  • E. L. Lehmann
  • Annals of Mathematical Statistics,
  • 1966

A note on the almost sure limit theorem for the product of partial sums

  • J. F. Wang
  • Applied Mathematics Letters