Chung Probability Pdf Link

$$ f_{\text{Chung}}(x) = \frac{1}{2\sqrt{2\pi}}\frac{1}{x^{\frac{3}{2}}} \exp\left( - \frac{1}{2x} \right) $$ for $x>0$

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. 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. Assume that Here

Let $X$ be a random variable. Assume that I assume you are looking for

Here, I couldn't find or assume well known standard Chung distribution.

However, I assume you are looking for , which doesn't exist; I suggest **F Chung - type Distribution.'

I believe you're referring to the Chung's probability theorem, also known as Chung's lemma. However, I think you might be looking for the Chung-Fuchs theorem or more specifically, the probability density function (pdf) related to Chung's work.