$\sigma^2 \le (\mu-a)(b-\mu)$ for all probability distributions bounded on $[a,b]$?
4130
Variance of a bounded random variable
98098
Show that $\mu_{F}$ is a measure on $(\mathbb{R},\mathcal{S})$.
129170
Deriving the expectation of $[\hat X,\hat H]$
104431
Mean of a Cauchy Distribution
106316
Finding a bound on the maximum of the absolute value of normal random variables
6450
Show $\mathbb{E}[f(X)g(X)] \geq \mathbb{E}[f(X)]\mathbb{E}[g(X)]$ for $f,g$ bounded, nondecreasing
52249
Is it true that $||a|^p - |b|^p| \le C_p|a - b|^p$ for $1 < p < \infty$?
139569
How to prove that $\hat\sigma^2$ has $\chi^2_{n-p}$ distribution (linear regression)
29849
How can I show that $\sup(AB)\geq\sup A\sup B$ for $A,B\subset\mathbb{R}$ where $A\cup B$ is positive and bounded?
25618
$x,y,z$ independent and uniform random on $[0,1]$, $P(x \geq  yz)$?
126227
continuity of a probability measure if $\mu (\{x\})=0$
110686
For symmetric stable distributions, why is $\alpha \le 2$?
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
84263
A Lebesgue measure question
119654
How to prove that geometric distributions converge to an exponential distribution?
137826
How is MSE divided by $\sigma^2$ always a chi-square distribution?
30431
How is the notation $X\sim N(\mu,\sigma^2)$ read?