Integral defining expectation of $\chi^2$ distribution
136506
Help with an integral for: If U has a $\chi^2$ distribution with v df, find E(U) and V(U)
122929
Prove that $Y=-2\sum_{i=1}^n \ln F_{X_i}(X_i)$ have distribution $\chi^2(2n)$
63594
Simplified Monte Carlo procedure in Chi square test
12184
How to prove that Normal Squared Distances follow a Chi-Square distribution?
4287
Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
101754
Transformation of Random Variable $Y = X^2$
109109
Show that $E(XE[X|G])=E[(E[X|G)^2]$
27788
Why is the expected value $E(X^2) \neq E(X)^2$?
114026
Expectation and variance of the geometric distribution
89544
Expectation of a random variable that takes points in the natural numbers
74054
Conditional expectation for a sum of iid random variables: $E(\xi\mid\xi+\eta)=E(\eta\mid\xi+\eta)=\frac{\xi+\eta}{2}$
35095
Moments of random variable $X$ with PDF $f_X(x)=c\cdot(1 - x^2)$ on $(0,1)$, and PDF of $X^2$
100559
Gaussian integral with a shift in the complex plane
123962
Calculation of the n-th central moment of the normal distribution $\mathcal{N}(\mu,\sigma^2)$
132920
Help with proof that the expected value of $x_i$ is $\bar{X}$
135684
Joint Distribution of Brownian Motion and its Time Integral
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.