New posts in conditional-expectation

Posterior mean if signal is an interval rather than a realization

Proof of uniqueness of conditional expectation

Prove that $EX=E(E(X|Y))$

Some version of Itô isometry with conditional expectations

A winning wager that loses over time

What is $E(X\mid X>c)$ in terms of $P(X>c)$?

Conditional expectation with respect to a $\sigma$-algebra

Statistical inference, MGF of sum of i.i.d. random variables

Conditional expectation is $T$-invariant in a measure preserving system.

Proving that $\|Af\|_p=\sup_{g\geq 0, \|g\|_q=1}\int (Af\cdot g).$

Lower bound for a conditional expectation [closed]

Proof of the tower property for conditional expectations

Conditional Expectation of X given X^2

Asymptotic behavior of piecewise recursive random variable.

Conditional expectation $\mathbb E\left(\exp\left(\int_0^tX_sdB_s\right) \mid \mathcal F_t^X\right)$

Conditional Expectation involving Uniform Random Variables. [duplicate]

Given $\mathbb{E}[X|Y] = Y$ a.s. and $\mathbb{E}[Y|X] = X$ a.s. show $X = Y$ a.s.

Conditional expectation given an event is equivalent to conditional expectation given the sigma algebra generated by the event

Conditional expectation of a joint normal distribution

Is there any counterexample to show that $X,Y$ are two random variables and $E(X\mid Y)=E(X)$, but $X$ and $Y$ are not independent.