Why is $\frac{\sum^n_{i=1}(X_i-\bar{X})^2}{\sigma^2}$chi-square distributed with $n-1$ degrees of freedom?
9192
Intuitive explanation for dividing by $n-1$ when calculating standard deviation?
139123
Is $\bar X$ a minimum variance unbiased estimator of $\theta$ in an exponential distribution?
85984
How come $\frac{\partial(\partial_{\beta}A_{\gamma})}{\partial(\partial_{\mu}A_{\nu})} = g_{\beta\mu}g_{\gamma\nu}$?
121661
Evaluating the sum $\Sigma \, \frac{1}{k(k+p)}$
10482
Prove $(\sum_{i=1}^{n}X_{i},\sum_{i=1}^{n}X_{i}^{2})$ is not a complete statistic for $N(\mu,\mu^2)$ distribution
12485
Distribution of a quadratic form, non-central chi-squared distribution
23603
Joint distribution of $X+Y$ and $\frac{X}{X+Y}$
31500
Distribution of the sum of squared independent normal random variables.
137826
How is MSE divided by $\sigma^2$ always a chi-square distribution?
78542
What is $\sum_{n=1}^{\infty} \frac{n}{2^{\sqrt{n}}}$?
65784
If $X,Y$ are independent $\chi ^2$ with $m$ and $n$ degrees of freedom, then $\frac{X}{X+Y} \sim\beta(m/2, n/2)$
37283
Show that $\frac{X-\mu}{\sigma}\sim N(0,1)$ using moment functions
108005
A normal divided by $\sqrt{\chi^2(s)/s}$
124164
($n$-dimensional) Inverse Fourier transform of $\frac{1}{\| \mathbf{\omega} \|^{2\alpha}}$
90749
Show that $\sum\nolimits_{d|n} \frac{1}{d} = \frac{\sigma (n)}{n}$ for every positive integer $n$.
54769
Distribution of sine of uniform random variable on $[0, 2\pi]$
136506
Help with an integral for: If U has a $\chi^2$ distribution with v df, find E(U) and V(U)