If $Z$ is a standard normal random variable and $g(z)$ is differentiable, show that $\Bbb{E}[g'(z)]=\Bbb{E}[Zg(z)]$
125840
Stein's lemma condition
45220
Proving the sum of two independent Cauchy Random Variables is Cauchy
6450
Show $\mathbb{E}[f(X)g(X)] \geq \mathbb{E}[f(X)]\mathbb{E}[g(X)]$ for $f,g$ bounded, nondecreasing
35454
Is it correct to write $\Bbb E[X]$ or $\Bbb E_{\theta}[X]$?
23946
Prove the definitions of $e$ to be equivalent
62605
How to find $\mathbb{E}(X\mid\mathbf{1}_{X<Y})$ where $X,Y$ are i.i.d exponential variables?
136707
Show that if $X$ and $Y$ are independent with the same exponential distribution, then $Z= |X - Y|$ has the same exponential distribution
120985
Prove that $\mathrm{Res}[f/g,z_0]=\frac{f(z_0)}{g'(z_0)}$
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
63218
Is conditional expectation with respect to two sigma algebra exchangeable?
130253
Differentiating $\mbox{tr} (ABA^TC)$ w.r.t. $A$
67452
Prove sum of unindependent Gaussian random variable is still Gaussian
79024
the derivation of E(X|X)
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
69715
Proving $\text{Var}{(\hat{y}_h)} = \sigma^2 \left(\frac{1}{n} + \frac{(x_h-\bar{x})^2}{S_{xx}}\right)$
111458
Prove that $f$ is differentiable
85818
$E(|X-Y|)$ for $X$, $Y$ i.i.d and uniform on $[0,1]$