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Strong laws of large numbers for weighted sums of $\bar{ρ}$ -mixing random variables

Guang-hui Cai — 2007

Mathematica Slovaca

A strong invariance principle for negatively associated random fields

Guang-hui Cai — 2011

Czechoslovak Mathematical Journal

In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite $(2 + δ)$ th moment and the covariance coefficient $u (n)$ exponentially decreases to $0$ . 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

Guang-hui Cai — 2007

Mathematica Bohemica

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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Currently displaying 1 – 6 of 6

Strong laws of large numbers for weighted sums of $\bar{ρ}$ -mixing random variables

A strong invariance principle for negatively associated random fields

Chover-type laws of the iterated logarithm for weighted sums of NA sequences

Convergence of weighted linear process for $ρ$ -mixing random variables.

Chover-type laws of the iterated logarithm for weighted sums of $ρ^{*}$ -mixing sequences.

Strong law of large numbers for $ρ^{*}$ -mixing sequences with different distributions.

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Formula preview

Currently displaying 1 – 6 of 6

Strong laws of large numbers for weighted sums of ρ ¯ -mixing random variables

A strong invariance principle for negatively associated random fields

Chover-type laws of the iterated logarithm for weighted sums of NA sequences

Convergence of weighted linear process for ρ -mixing random variables.

Chover-type laws of the iterated logarithm for weighted sums of ρ * -mixing sequences.

Strong law of large numbers for ρ * -mixing sequences with different distributions.

Strong laws of large numbers for weighted sums of $\bar{ρ}$ -mixing random variables

Convergence of weighted linear process for $ρ$ -mixing random variables.

Chover-type laws of the iterated logarithm for weighted sums of $ρ^{*}$ -mixing sequences.

Strong law of large numbers for $ρ^{*}$ -mixing sequences with different distributions.