query: Simple examples of uncorrelated but not independent $X$ and $Y$
positive_passages.docid: 16191
positive_passages.text: How to show operations on two random variables (each Bernoulli) are dependent but not correlated?
negative_passages.docid: 25654
negative_passages.text: E[X| X>Y] for independent X, Y ~ N(0,1)
negative_passages.docid: 34798
negative_passages.text: Example of element of double dual that is not an evaluation map
negative_passages.docid: 20614
negative_passages.text: Example of a function such that $\varphi\left(\frac{x+y}{2}\right)\leq \frac{\varphi(x)+\varphi(y)}{2}$ but $\varphi$ is not convex
negative_passages.docid: 131026
negative_passages.text: Covariance and independence?
negative_passages.docid: 130389
negative_passages.text: Does non-zero correlation imply dependence?
negative_passages.docid: 116676
negative_passages.text: Examples of uncountable sets with zero Lebesgue measure
negative_passages.docid: 116112
negative_passages.text: Examples of 'almost' vector spaces where unitary law fails
negative_passages.docid: 68137
negative_passages.text: Independence and conditional independence between random variables
negative_passages.docid: 133696
negative_passages.text: Example of a function continuous at only one point.
negative_passages.docid: 121422
negative_passages.text: Independence between a constant random variable and another random variable.
negative_passages.docid: 134440
negative_passages.text: An unexpected application of non-trivial combinatorics
negative_passages.docid: 118867
negative_passages.text: Independence of Gaussian variables
negative_passages.docid: 108408
negative_passages.text: Example of quotient mapping that is not open
negative_passages.docid: 47937
negative_passages.text: Example of a Borel set that is neither $F_\sigma$ nor $G_\delta$
negative_passages.docid: 4672
negative_passages.text: Example of two convergent series whose product is not convergent.
negative_passages.docid: 95019
negative_passages.text: An example of non-Hamiltonian systems