Does the k-th moment exists when $E[X^k]$ is infinite in ether (one) positive or negative direction?
93460
WLLN: can expectation exist but be infinite?
47211
Does $\varphi(x)\le\int_0^x\varphi(t)dt$ for all $x\in[0,\infty)$ imply $\varphi\equiv0$.
104413
Is the exponential of $-d$ a positive definite kernel for a general metric space $(X, d)$?
123806
How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
35095
Moments of random variable $X$ with PDF $f_X(x)=c\cdot(1 - x^2)$ on $(0,1)$, and PDF of $X^2$
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
117912
How to show that $p$th moment being finite is equivalent to a limit existing
84999
$\exp(A)$ is orthogonal iff $A$ is skew symmetric
40564
Prove that $u(x,t)=\int_{-\infty}^{\infty}c(w)e^{-iwx}e^{-kw^2t}dw\rightarrow 0$ if $x\rightarrow \infty$
131125
Link between moment-generating function and characteristic function
17107
Existence of the moment generating function and variance
140458
Infinite summation involving exponents
124988
$E=kT$ or $\frac32kT$?
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
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 $0\leq t \leq \pi/4$.
1751
When does the tensor product distribute over an infinite direct product?
22598
When does the limit $\lim_{(x,y)\to(0,0)} \frac{x^ky^l}{x^{2p}+y^{2q}}$ exist?