Siberian Mathematical Journal

, Volume 35, Issue 1, pp 192–201 | Cite as

Lower bounds for the variance of sums of weakly dependent variables

  • S. A. Utev
  • A. G. Grin'


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  1. 1.
    R. C. Bradley, “A central limit theorem for stationaryρ-mixing sequences with infinite variance,” Ann. Probab.,16, No. 1, 313–332 (1988).Google Scholar
  2. 2.
    M. Peligrad, “On the central limit theorem forρ-mixing sequences of random variables,” Ann. Probab.,15, No. 4, 1387–1394 (1987).Google Scholar
  3. 3.
    S. A. Utev, “Sums of random variables withϕ-mixing,” in: Asymptotic Analysis of Distributions of Stochastic Processes. Vol. 13 [in Russian] (Inst. Mat., Novosibirsk), Nauka, Novosibirsk, 1989, pp. 78–92.Google Scholar
  4. 4.
    R. C. Bradley, “Central limit theorems under weak dependence,” J. Multivariate Anal.,11, No. 1, 11–16 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • S. A. Utev
    • 1
  • A. G. Grin'
    • 1
  1. 1.Novosibirsk, Omsk

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