References: Chung, K. L., & Fuchs, W. H. J. (1946). On the law of the iterated logarithm. Proceedings of the American Mathematical Society, 2(5), 312-319.
Here, I couldn't find or assume well known standard Chung distribution. chung probability pdf
In 1946, Chung and Fuchs proved a theorem that provides a sufficient condition for the law of the iterated logarithm (LIL) to hold. References: Chung, K