Chung: Probability Pdf

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.

Let $X$ be a random variable. Assume that chung probability pdf

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. I believe you're referring to the Chung's probability

$$ f_{\text{Chung}}(x) = \frac{1}{2\sqrt{2\pi}}\frac{1}{x^{\frac{3}{2}}} \exp\left( - \frac{1}{2x} \right) $$ for $x>0$ also known as Chung's lemma. However

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