Convergence of weighted linear process for -mixing random variables.
Chover-type laws of the iterated logarithm for weighted sums of -mixing sequences.
Strong law of large numbers for -mixing sequences with different distributions.
Strong laws of large numbers for weighted sums of -mixing random variables
A strong invariance principle for negatively associated random fields
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
Chover-type laws of the iterated logarithm for weighted sums of NA sequences
To derive a Baum-Katz type result, a Chover-type law of the iterated logarithm is established for weighted sums of negatively associated (NA) and identically distributed random variables with a distribution in the domain of a stable law in this paper.
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