New posts in Density Function

Probabilistic modelling

Unique question about packing problem

If $U\sim\chi_{m}^2$ independently of $V\sim\chi_n^2$ then prove that $\frac{V}{U+V}\sim\beta\left(\frac n2,\frac m2\right)$

Non standard solution to $f(x) = \frac{1}{2}\Big(f(\frac{x}{2}) + f(\frac{1+x}{2})\Big)$

If $Y\sim\operatorname{Beta}(a,1-a)$ and $Z\sim\operatorname{Exp}(1)$, then $YZ\sim\operatorname{Gamma}(0,1)$?

Density of $X-Y$ where $X,Y$ are independent random variables with common PDF $f(x) = e^{-x}$?

Transformation of Random Variable $Y = X^2$

How can a probability density function (pdf) be greater than $1$?

Transformation on a random variable

Density of sum of two independent uniform random variables on $[0,1]$