Why is the characteristic function of a probability distribution function uniformly continuous?
67289
Continuity of the Characteristic Function of a RV
126212
Proving uniform continuity on an interval
29783
Intuition for Rayleigh PDF
45395
Difference between continuity and uniform continuity
141842
Is the convolution of two continuous functions continuous?
143214
Brownian motion - Hölder continuity
101906
Why is this sequence of equicontinuous functions uniformly bounded?
24017
Let $f: \Bbb R \to [0,\infty)$ be a continuous function such that $g(x)=(f(x))^2$ is uniformly continuous. Which of the following is always true?
147322
Does the square of uniform distribution have density function?
60070
Unique uniformly continuous function into complete space
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
153854
$X_{n}$ converges in probability, $f$ is continuous, $f(X_{n})$ converges in probability
23436
$f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
71301
Showing that Y has a uniform distribution if Y=F(X) where F is the cdf of continuous X
85820
Are the terms probability density function and probability distribution (or just "distribution") interchangeable?
30662
$x_{1}...x_{n}$ are independent continuous random variables with common distribution function $F(x)$,compute $E(F(x_{(n)})-F(x_{(1)}))$