How can I find the marginal distributions of $\frac{X_1}{X_1+X_2}$ and $\frac{X_2}{X_1+X_2}$?
5654
Construction of Dirichlet distribution with Gamma distribution
107179
Partial fraction expansion of $\frac{1}{x(x+1)(x+2)\cdots(x+n)}$
41293
Prove the inequalities $|z_1 +z_2| \geq \frac{1}{2}(|z_1|+|z_2|)|\frac {z_1} {|z_1|} +\frac {z_2} {|z_2|}|$
91564
Find the distribution of $X|X+Y=n$ using MGFs
69082
Show that $\frac{X}{X+Y}\sim Beta(\alpha,\beta)$
89186
Showing that $\frac{X_{(i)}}{X_{(n)}},i=1,2,...,n-1$ and $X_{(n)}$ are independent for a population with df $F(y)=y^{\theta}$
10482
Prove $(\sum_{i=1}^{n}X_{i},\sum_{i=1}^{n}X_{i}^{2})$ is not a complete statistic for $N(\mu,\mu^2)$ distribution
155639
Showing 2 Distributions are the Same
84185
density of $X^2$ when $X$ has uniform $[-1, 2]$ distribution
127662
Integrating product of multivariate normal and univariate normal to find marginal
16705
product distribution of two uniform distribution, what about 3 or more
40243
Pdf of the difference of two exponentially distributed random variables
137108
Finding a distribution from the sum of two random variables in a joint trinomial distribution
51864
$\left( \frac{1 \cdot 2}{p} \right) + \left( \frac{2 \cdot 3}{p} \right) + \cdots + \left( \frac{(p-2)(p-1)}{p} \right) = -1$
79525
How to compute the marginal likelihood given two multivariate Normal distribution?
103030
Proving $\frac{1}{\sqrt{x}}\ge \frac{2}{x+1}$ for $x> 0$
44892
Marginal, joint, and conditional distributions of a multivariate normal