Is $\mathbb E(\mathbb E(X\mid \mathcal F) \mid \mathcal G) = \mathbb E(X \mid \mathcal F\cap \mathcal G)$?
63218
Is conditional expectation with respect to two sigma algebra exchangeable?
64179
What is the difference between the standard representants of $\mathbb Z/q\mathbb Z$?
149820
How do you prove the set $G = \{(x, f(x)) \mid x \in \mathbb R\}$ is closed?
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
114603
Conditional Expectation of Composite Function
94469
How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
111088
Conditional probability, $E[E(X\mid Y)\mid Y,Z]=?$
113778
Show that $E=\{(x,\alpha)\mid 0\leq \alpha<|f(x)|\}$ is measurable if $f$ is measurable.
40047
Is $\int_a^b f(x) dx = \int_{f(a)}^{f(b)} f^{-1}(x) dx$?
53432
What is the algebraic closure of $\mathbb F_q$?
72506
An example s.t. $E(E(X|\mathcal F_1)|\mathcal F_2)\neq E(E(X|\mathcal F_2)|\mathcal F_1)$
109109
Show that $E(XE[X|G])=E[(E[X|G)^2]$
36417
Why does $\mathbb{E}(\frac{X_1+...+X_n}{n})=\mathbb{E}(X)$?
129170
Deriving the expectation of $[\hat X,\hat H]$
34478
If $P(A \mid E) > P(B \mid E)$ and $P(A \mid \neg E) > P(B \mid \neg E)$, then is $P(A) > P(B)$ true?
80803
Conditional expectation $E[\log(1+X) \mid X>t]$