query: Integrable random variable X such that X^2 is not integrable
positive_passages.docid: 150488
positive_passages.text: example of random variable that is integrable but have infinite second moment
negative_passages.docid: 144023
negative_passages.text: Indefinite integral which is not differentiable
negative_passages.docid: 46170
negative_passages.text: Why is the probability that a continuous random variable takes a specific value zero?
negative_passages.docid: 45025
negative_passages.text: IID Random Variables that are not constant can't converge almost surely
negative_passages.docid: 137815
negative_passages.text: Additive but not $\sigma$-additive function
negative_passages.docid: 138962
negative_passages.text: $X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
negative_passages.docid: 127049
negative_passages.text: Can a function be Riemann integrable, but not Lebesgue integrable?
negative_passages.docid: 40725
negative_passages.text: Uniform random variable as sum of two random variables
negative_passages.docid: 116975
negative_passages.text: Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
negative_passages.docid: 6675
negative_passages.text: Lebesgue measurable set that is not a Borel measurable set
negative_passages.docid: 101754
negative_passages.text: Transformation of Random Variable $Y = X^2$
negative_passages.docid: 83877
negative_passages.text: Distribution of the square of a non-standard normal random variable
negative_passages.docid: 1014
negative_passages.text: Pointwise limit of continuous functions not Riemann integrable
negative_passages.docid: 6186
negative_passages.text: An Integrable function which is not essentially bounded on any subinterval of $[0,1]$
negative_passages.docid: 123186
negative_passages.text: Proving the probability integral transform without assuming that the CDF is strictly increasing
negative_passages.docid: 71490
negative_passages.text: Is there any use for the quantity $\int f(x)^2 dx$ in statistics or information theory?
negative_passages.docid: 4702
negative_passages.text: Is it possible to have a pair of Gaussian random variables for which the joint distribution is not Gaussian?