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Chover’s law of the iterated logarithm for negatively associated sequences. (English) Zbl 1205.60069
Summary: Consider a sequence of negatively associated and identically distributed random variables with the underlying distribution in the domain of attraction of a stable distribution with an exponent in (0,2). A Chover’s law of the iterated logarithm is established for negatively associated random variables. Our results generalize and improve those on Chover’s law of the iterated logarithm (LIL) type behavior previously obtained by T. Mikosch [Vestn. Leningr. Univ. 1984, No. 19, Mat. Mekh. Astron. No. 4, 82–85 (1984; Zbl 0557.60025)], R. Vasudeva [Acta Math. Hung. 44, 215–221 (1984; Zbl 0555.60022)], and Y. Qi and P. Cheng [Chin. Ann. Math., Ser. A 17, No. 2, 195–206 (1996; Zbl 0861.60043)] from the i.i.d. case to NA sequences.
MSC:
60F15Strong limit theorems
References:
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