Chen, Pingyan; Huang, Lihu The Chover law of the iterated logarithm for random geometric series of stable distribution. (Chinese. English summary) Zbl 1009.60010 Acta Math. Sin. 43, No. 6, 1063-1070 (2000). Summary: Let \(\{X_n, n\geq 0\}\) be mutually independent random variables, identically distributed according to the symmetric stable distribution with exponent \(\alpha\) \((0< \alpha< 2)\). With probability one we have \[ \limsup_{\beta\to 1^-}\Biggl|(1- \beta^\alpha)^{1/\alpha} \sum^\infty_{n=0} \beta^n X_n\Biggr|^{1/\log|\log(1- \beta^\alpha)|}= \exp(1/\alpha). \] Cited in 2 Documents MSC: 60F05 Central limit and other weak theorems 60F15 Strong limit theorems Keywords:random geometric series; stable distribution; Chover type law of the iterated logarithm PDFBibTeX XMLCite \textit{P. Chen} and \textit{L. Huang}, Acta Math. Sin. 43, No. 6, 1063--1070 (2000; Zbl 1009.60010)