Proof that the sample mean is normally distributed
141614
Linear Combination of Random Normal Variables
48811
Characteristic function of product of normal random variables
108560
Proof of a Gaussian Integral property
37371
Why is expected value of random variable equal to mean
135219
On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $
157432
How to use the Mean Value Theorem to prove the following statement:
37192
proof of the second generalized mean value theorem for integrals
66104
Showing that something is a sufficient statistic
144923
Prove that the maximum of $n$ independent standard normal random variables, is asymptotically equivalent to $\sqrt{2\log n}$ almost surely.
119647
Average norm of a N-dimensional vector given by a normal distribution
66089
Using AM-GM to prove $\lim_{p\to 0}$ of the $p$-mean is equal to the GM.
128137
population and subsamples : mean equality?
28108
Proving the kernel is a normal subgroup.
9006
Normal approximation to the Poisson distribution
42017
What is the distribution of the Euclidean distance between two normally distributed random variables?
123962
Calculation of the n-th central moment of the normal distribution $\mathcal{N}(\mu,\sigma^2)$
26740
Showing that asymptotic normality implies consistency.