Let $X$ be a random variable. Assume that
Could you give more explanation on chung assumputions Or Provide Assumuption on chung distiribution
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. 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.
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. Let $X$ be a random variable
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.
However, I assume you are looking for , which doesn't exist; I suggest **F Chung - type Distribution.' References: Chung, K
$$ f_{\text{Chung}}(x) = \frac{1}{2\sqrt{2\pi}}\frac{1}{x^{\frac{3}{2}}} \exp\left( - \frac{1}{2x} \right) $$ for $x>0$