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The strong law of large numbers for negatively dependent generalized Gaussian random variables. (English) Zbl 1056.60024
Authors’ abstract: We study the strong law of large numbers for the weighted sums $~T_n=\sum^\infty_{k=1} a_{nk} X_k$ where $~\{X_n,n\ge 1\}~$ is a sequence of negatively dependent generalized Gaussian random variables under the condition that $~E[X_n\Vert {\cal F}_{n-1}]=0,~ {\cal F}_n =\sigma(X_1,\ldots, X_n)~$ and $~a_{nk}~$ is an array of nonnegative real numbers such that for each $~n\ge 1,~ A_n=\sum^\infty_{k=1} a^2_{nk} < \infty$.

60F15Strong limit theorems
60F10Large deviations
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