query: Covariance between $X_i-\overline{X}$ and $\overline{X}$
positive_passages.docid: 150321
positive_passages.text: How do you prove Cov $\left( \bar{X} , X_i - \bar{X} \right) = 0$?
negative_passages.docid: 117533
negative_passages.text: $|A-\lambda I|$ and $|\lambda I-A|$
negative_passages.docid: 44912
negative_passages.text: Prove that $ \overline {A^\complement} = (A°)^\complement $
negative_passages.docid: 29583
negative_passages.text: Characterization of the trace function
negative_passages.docid: 100916
negative_passages.text: Finding $\mathrm{Cov}(X,Y)$ and $E(X\mid Y=y)$ given the joint density of $(X,Y)$
negative_passages.docid: 127000
negative_passages.text: When does $V = \ker(f) \oplus \operatorname{im}(f)$?
negative_passages.docid: 23414
negative_passages.text: Topologist's Sine Curve: A rigorous proof of why $\overline{S} = S \cup V$
negative_passages.docid: 55488
negative_passages.text: Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
negative_passages.docid: 78754
negative_passages.text: Showing that $E[X|X<x]$ is smaller or equal than $E[X]$ for all x
negative_passages.docid: 125723
negative_passages.text: Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
negative_passages.docid: 48492
negative_passages.text: KL divergence of q(z|x) || p(z|x)
negative_passages.docid: 30017
negative_passages.text: Orthogonality and linear independence
negative_passages.docid: 7207
negative_passages.text: Statistics: sequences of independent and identically distributed random variables
negative_passages.docid: 135751
negative_passages.text: Show that $Int(A)=X\setminus\overline{X\setminus A}$.
negative_passages.docid: 84818
negative_passages.text: Convergence of $\sum_{n=1}^{\infty}x_n\overline{y_n}$ for every $(x_n)\in c_0$ implies $\sum_{n=1}^{\infty}|y_n|<\infty$
negative_passages.docid: 61051
negative_passages.text: Covariance term in simple linear regression
negative_passages.docid: 25242
negative_passages.text: Find $\operatorname{Cov}(F_n^* (x), F_n^* (y))$ for fixed real numbers $x, y$ where $F_n^* (x)$ is a sample distribution function