Deriving $(n-1)\frac{S^2}{\sigma^2} \sim \chi^2(n-1)$
28332
Proof of $\frac{(n-1)S^2}{\sigma^2} \sim \chi^2_{n-1}$
85486
Show that $S = \sqrt{S^2}$ is a biased estimator of $\sigma$ given a random sample from a normal distribution ...
139569
How to prove that $\hat\sigma^2$ has $\chi^2_{n-p}$ distribution (linear regression)
157946
Elementary derivation of certian identites related to the Riemannian Zeta function and the Euler-Mascheroni Constant
46775
If $\sigma_n=\frac{s_1+s_2+\cdots+s_n}{n}$ then $\operatorname{{lim sup}}\sigma_n \leq \operatorname{lim sup} s_n$
68385
Prove that $ \frac{n}{\phi(n)} = \sum\limits_{d \mid n} \frac{\mu^2(d)}{\phi(d)} $
126105
Compute $\sum_{k=1}^{n} \frac 1 {k(k + 1)} $
151286
Finding MLE for $\frac{\theta}{1-\theta}$
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
152686
How to derive $E=mc^{2}$?
12184
How to prove that Normal Squared Distances follow a Chi-Square distribution?
142981
Computing $n!\int...\int_{0<s_1<...<s_n}1ds_1...ds_n$
68116
How to derive this version of variance formula
124164
($n$-dimensional) Inverse Fourier transform of $\frac{1}{\| \mathbf{\omega} \|^{2\alpha}}$
1119
A normal divided by the $\sqrt{\chi^2(s)/s}$ gives you a t-distribution -- proof
89771
$\frac{1}{s-1}+\sum_{n=1}^{\infty}\left[\frac{1}{n^s}+\frac{1}{s-1}\left(\frac{1}{(n+1)^{s-1}} - \frac{1}{n^{s-1}}\right)\right]$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $