If $Y| \mu \sim N(\mu, A)$ and $\mu \sim N(\mu_0, B)$, showing the marginal of $Y$ is $Y \sim N(\mu_0, A+B)$
7442
completing the square for Gaussian multivariate estimation
122077
Two correlated marginally Gaussian RV, but not Jointly Gaussian
50202
Probablity identities and $A$ given $B$
102478
$X_n\leq Y_n$ implies $\liminf X_n \leq \liminf Y_n$ and $\limsup X_n \leq \limsup Y_n$
23071
Showing that $f_0 (x_1, \ldots, x_m) \mathrm tr A =\displaystyle{ \sum_{i=1}^n} f_0(x_1, \ldots, Ax_i,\ldots, x_m)$
10968
Let $X \sim Bin(n,p)$ show that $X/n \nsim Bin()$
24617
Proof of Inequality using AM-GM
108704
Help with proof of $|x+y| \geq |x|-|y|$
83464
Conditional expectation of $\mathbb{E}(X - Y | (X, Y)\in\mathcal{A})$
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
43181
What is the joint distribution of $Z=\min(X,Y)$ and $I_{Z=X}$?
139692
Proof of inequality using AM-GM inequality
52305
Is there a general relation between $a/b$ and $(a+c)/(b+c)$ where $a,b,c > 0 $?
25654
E[X| X>Y] for independent X, Y ~ N(0,1)
61370
Sampling from copula given a particular value of marginal
94781
Prove that $M(t)=\sup_ {a \leq x \leq t} f(x)$ given $f(x)$ is continuous on $[a,b]$
64856
Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$