New posts in Normal Distribution

Conditional expectation of a joint normal distribution

Find independent $X$ and $Y$ that are not normally distributed s.t. $X+Y$ is normally distributed.

Let $X$ be standard normal and $a>b>0$, prove that $\lim\limits_{\epsilon\to 0}\epsilon^2\log P(|\epsilon X -a|<b)=-\frac{(a-b)^2}{2}$

Monitoring a data stream

Gaussian distribution is isotropic?

On the evaluation of the integral $\int_{-\frac{b}{a}}^{\frac{1-b}{a}}\log\left(ax+b\right)\exp\left(-\frac{1}{2}x^2\right)\mathrm{d}x$.

Can $\log(1-U)-\log(U)+W$ be normally distributed, with $U$ uniform on $(0,1)$ and $W$ independent of $U$?

Proving $E[X^4]=3σ^4$

Is there something like a normal distribution model for discrete probability?

Asymptotic Moments of the Binomial Distribution, $E(X/(np))^k = 1 + O(k^2/n)$?