If $U$ is uniformly distributed on $S^{2}$, then its first component is uniformly distributed on $(-1,1)$.
91903
Random point uniform on a sphere
59106
Components of an n-dimensional random variable from a uniform distribution are independent
82930
Why do we say a probability integral transformed variable is uniform on the interval [0, 1]?
6880
Obtain the joint PDF of $\theta_{1} - \theta_{2}$ and $\theta_{1}$ where $\theta_{1}$ and $\theta_{2}$ are i.i.d $\text{Uniform}[0, 2\pi)$
123478
Generalized Poincaré Inequality on H1 proof.
22117
Distribution of $(XY)^Z$ if $(X,Y,Z)$ is i.i.d. uniform on $[0,1]$
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
13257
How to prove this problem about uniform continuity
67485
The ratio $\frac{u(z_2)}{u(z_1)}$ for positive harmonic functions is uniformly bounded on compact sets
94794
proof that p-value is uniformly distributed when the null hypothesis is true
52988
Complete Statistic: Uniform distribution
140898
Is $v=\ (r_i)^{-1}\cdot z $, a uniformly random value of a field?
83873
Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$
135815
Why isn't there a uniform probability distribution over the positive real numbers?
92126
Distribution of range of Uniform $(0,1)$ distribution
55071
pdf of a quotient of uniform random variables
72841
Proof that if $Z$ is standard normal, then $Z^2$ is distributed Chi-Square (1).