Chung — Probability Pdf

Assuming you're referring to the Chung's theorem related to the law of the iterated logarithm, I provide you with a brief overview.

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

Here, I couldn't find or assume well known standard Chung distribution. Assuming you're referring to the Chung's theorem related

$$ f_{\text{Chung}}(x) = \frac{1}{2\sqrt{2\pi}}\frac{1}{x^{\frac{3}{2}}} \exp\left( - \frac{1}{2x} \right) $$ for $x>0$ (1946)

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.

Could you give more explanation on chung assumputions Or Provide Assumuption on chung distiribution

In 1946, Chung and Fuchs proved a theorem that provides a sufficient condition for the law of the iterated logarithm (LIL) to hold.