Chung Probability Pdf !!exclusive!! -
Assuming you're referring to the Chung's theorem related to the law of the iterated logarithm, I provide you with a brief overview.
Here, I couldn't find or assume well known standard Chung distribution.
In 1946, Chung and Fuchs proved a theorem that provides a sufficient condition for the law of the iterated logarithm (LIL) to hold. 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 Assuming you're referring to the Chung's theorem related
If you provide more information or clarify which Chung probability distribution or theorem (e.g., Chung-Fuchs, Chung-Lai, or Chung-Sobel) you are referring to, I may provide you a more accurate response and high-quality equations.
Could you give more explanation on chung assumputions Or Provide Assumuption on chung distiribution 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 $x>0$