A CLT FOR WEAKLY DEPENDENT RANDOM FIELDS

  • Jeon, Tae-Il (Department of Mathematics Taejon University)
  • Published : 1999.07.01

Abstract

In this article we prove a central limit theorem for strictly stationary weakly dependent random fields with some interlaced mix-ing conditions. Mixing coefficients are not assumed. The result it basically the same to Peligrad([4]), which is CLT weakly depen-dent arrays of random variables. The proof is quite similar to the of Peligrad.

Keywords

References

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  2. Ann. Prob. v.21 no.4 Moment conditions for almost sure convergence of weakly correlated random variables
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  4. J. Theo. Prob. v.9 no.2 On the asymptotic normality of sequences of weakly dependent random variables Peligrad, M.