Intereting Posts

Is tensor product of Sobolev spaces dense?
Evaluate $\int_0^4 \frac{\ln x}{\sqrt{4x-x^2}} \,\mathrm dx$
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
How to prove that if $\lim_{n \rightarrow \infty}a_n=A$, then $\lim_{n \rightarrow \infty}\frac{a_1+…+a_n}{n}=A$
Could someone explain chirality from a group theory point of view?
How to factor $2b^2c^2 + 2c^2a^2 + 2a^2b^2 -a^4-b^4-c^2$?
how to calculate $\frac{d\dot{x}}{dx}$
explicit “exotic” charts
Functions determine geometry … Riemannian / metric geometry?
Finding the number of elements of order two in the symmetric group $S_4$
Find the values of $p$ such that $\left( \frac{7}{p} \right )= 1$ (Legendre Symbol)
Proof to show function f satisfies Lipschitz condition when derivatives f' exist and are continuous
cardinality of all real sequences
Sum of squared quadratic non-residues
How to determine whether this function is differentiable at a point

I know that $E[E(X\mid Y,Z)\mid Y]=E(X\mid Y)$.

What if $E[E(X\mid Y)\mid Y,Z]=?$ It has any meaning?

- Conditional expectation equals random variable almost sure
- Sum of i.i.d. random variables is a markov chain
- Conditional expectation w.r.t. random variable and w.r.t. $\sigma$-algebra, equivalence
- Fubini's theorem for conditional expectations
- Properties Least Mean Fourth Error
- Is a probability of 0 or 1 given information up to time t unchanged by information thereafter?

- Combinatorics/Probability - Why does this equation work?
- Probability a rotation has a small distance to a vector
- Probability all substrings have the same number of 0s and 1s
- determining the amount of total questions needed in a game given the probabilty
- Probability distribution for the perimeter and area of triangle with fixed circumscribed radius
- Expectation of half of a binomial distribution
- Weak convergence of probability measure
- Summing over conditional probabilities
- How to calculate the expectation of $XY$?
- Binomial random variable with number of trials being a Poisson random variable

$E(X|Y)$ is $Y$-measurable and thus $Y,Z$-measureable so can still be pulled out of the conditional expectation. So $E(E(X|Y)|Y,Z) = E(X|Y)$

It’s like asking about $E(f(Y)|Y,Z)$. The $Z$ might seem to complicate things, but the fact that we’re conditioning on $Y$ means we can treat the $f(Y)$ as constant and pull it out of the expectation, giving $f(Y)E(1|Y,Z) =f(Y).$

- $\int_t^T 1_C\cdot A\;d\!X=1_C\cdot\int_t^T A\;d\!X$ for $C\in\mathcal F_t$?
- What is the antiderivative of $e^{-x^2}$
- Surprising but simple group theory result on conjugacy classes
- Number $N>6$, such that $N-1$ and $N+1$ are primes and $N$ divides the sum of its divisors
- Is there an example of a non-orientable group manifold?
- It's in my hands to have a surjective function
- What is the interior of a singleton?
- Why the number of ways of selecting $r$ things out of $n$ identical things is 1
- Is $\mathbb Z _p^*=\{ 1, 2, 3, … , p-1 \}$ a cyclic group?
- The Process of Choosing Projective Axes to Put an Elliptic Curve into Weierstrass Normal Form
- How many matrices in $M_n(\mathbb{F}_q)$ are nilpotent?
- the sum of powers of $2$ between $2^0$ and $2^n$
- Books for maths olympiad
- Calculate the following: $\lim\limits_{n\to \infty}\int_X n \log(1+(\frac{f}{n})^{\alpha})d\mu$
- Delta-Epsilon Proofs