What is the intuitive explanation for the CDF of any random variable to follow uniform distribution (0,1)?
71301
Showing that Y has a uniform distribution if Y=F(X) where F is the cdf of continuous X
82174
Understanding "randomness"
144650
Uniform distribution on unit disk
45182
What is the link (discrepancy?) between these PDF/CDF and p-value distributions?
126922
Zero inflated distributions, what are they really?
25618
$x,y,z$ independent and uniform random on $[0,1]$, $P(x \geq  yz)$?
123822
PDF and CDF of sum of random variables with different distributions
25519
Compute $P(X_1+\cdots+X_k\lt 1)$ for $(X_i)$ i.i.d. uniform on $(0,1)$
24865
Intuitive explanation of convergence in distribution and convergence in probability
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
94794
proof that p-value is uniformly distributed when the null hypothesis is true
107507
Probability density function of a product of uniform random variables
135815
Why isn't there a uniform probability distribution over the positive real numbers?
93569
CDF of a ratio of exponential variables
85955
Expected value of maximum of two random variables from uniform distribution
123186
Proving the probability integral transform without assuming that the CDF is strictly increasing
112215
CDF of a sum of independent random variables