Showing that the Distribution of a Random Variable Must be Standard Normal using Characteristic Functions
92054
$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$
37283
Show that $\frac{X-\mu}{\sigma}\sim N(0,1)$ using moment functions
49896
A criterion for independence based on Characteristic function
62053
If $X$ and $Y$ are independent Normal variables each with mean zero, then $\frac{XY}{\sqrt{X^2+Y^2}}$ is also a Normal variable
110681
Computing the Smith Normal Form
1969
Continuous probability distribution with no first moment but the characteristic function is differentiable
77328
Integral of the square of the normal distribution.
103501
Question about a normal equation proof
104431
Mean of a Cauchy Distribution
54461
Showing independence of random variables
78386
Finding the moment generating function of the product of two standard normal distributions
59106
Components of an n-dimensional random variable from a uniform distribution are independent
67289
Continuity of the Characteristic Function of a RV
119529
Is joint normality a necessary condition for the sum of normal random variables to be normal?
124712
Moment generating function for multivariate normal
49652
Generating random variables from a mixture of Normal distributions
105691
Showing that the sample mean and variance are independent by showing two distribution are the same