Geodesic
The Chover-type law of the iterated logarithm for certain power series
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 605-612

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Let $\{p_n,\ n\geq 0\}$ be a sequence of real numbers with $p_n\sim R(n)$, $R(\cdot)$ a regular varying function with index greater than $-1/\alpha$ $(0\alpha2)$. We prove the Chover-type law of the iterated logarithm for the $(J_p)$ power transform of sequence $\{X_n,\,n\geq 0\}$ of independent identically distributed stable random variables with exponent $\alpha$.
Keywords: summability method, law of iterated logarithm.
Mots-clés : stable distribution 
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     author = {Ch. Pingyan},
     title = {The {Chover-type} law of the iterated logarithm for certain power series},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {605--612},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a15/}
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Ch. Pingyan. The Chover-type law of the iterated logarithm for certain power series. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 3, pp. 605-612. http://geodesic.mathdoc.fr/item/TVP_2005_50_3_a15/