Abstract:
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<\alpha<2)$. 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, stable distribution, law of iterated logarithm.