query: $E(X|X)=X$ Conditional expectation of a variable with itself
positive_passages.docid: 79024
positive_passages.text: the derivation of E(X|X)
negative_passages.docid: 13561
negative_passages.text: Show: $E(|X|)\leqslant\liminf_{n\to\infty} E(|X_n|)$
negative_passages.docid: 57170
negative_passages.text: Intuitive explanation of the tower property of conditional expectation
negative_passages.docid: 37371
negative_passages.text: Why is expected value of random variable equal to mean
negative_passages.docid: 110768
negative_passages.text: Expectation of a mixed random variable given only the CDF
negative_passages.docid: 151157
negative_passages.text: Justification of proof of law of total expectation
negative_passages.docid: 14764
negative_passages.text: Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$
negative_passages.docid: 125209
negative_passages.text: Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
negative_passages.docid: 63218
negative_passages.text: Is conditional expectation with respect to two sigma algebra exchangeable?
negative_passages.docid: 140790
negative_passages.text: Prove that $E(X) = \int_{0}^{\infty} P(X>x)\,dx = \int_{0}^{\infty} (1-F_X(x))\,dx$.
negative_passages.docid: 67489
negative_passages.text: How to show that $E[(\hat\theta -\theta)^2]<Var(\bar X)=\dfrac{1}{n}$?
negative_passages.docid: 36417
negative_passages.text: Why does $\mathbb{E}(\frac{X_1+...+X_n}{n})=\mathbb{E}(X)$?
negative_passages.docid: 132920
negative_passages.text: Help with proof that the expected value of $x_i$ is $\bar{X}$
negative_passages.docid: 94662
negative_passages.text: Tower property of conditional expectation
negative_passages.docid: 83873
negative_passages.text: Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$
negative_passages.docid: 64856
negative_passages.text: Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$
negative_passages.docid: 99024
negative_passages.text: Let $\,E=\{(x,y) \in \Bbb R^2: |x| \le 1,|y|\le 1\}.$