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Feb
13
revised Linear independence and Wronskian - Proof or Counterexample
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Feb
13
answered Linear independence and Wronskian - Proof or Counterexample
Feb
9
comment Does this prove the sequence $5+(-1)^n$ does not have a limit?
Fun fact: $\lim_n s_n=s$ iff for all strictly increasing sequences $a_n$, $\lim_ns_{a_n}=s$. If you've learned about limsup and liminf, it's equivalent to saying $\limsup_n s_n=\liminf_n s_n$.
Feb
8
comment Difference between $F_X(x)$ and $F(x)$ in probability?
Is "Fx(x)" $\frac{d}{dx}F(x)=f(x)$, i.e. the density? Or is the context $F_X(x)$, which refers to the "cdf corresponding to random variable X"?
Feb
8
revised Expectation of product of iid random variables limited by stopping time
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Feb
8
comment $M_n$ is the subspace of all square matrices with trace $0$, what is the dimension of $M_n$?
What isn't clear about top, accepted answer? The sum of diagonal elements equals 0 and this forms a single linear dependence.
Feb
8
answered Expectation of product of iid random variables limited by stopping time
Feb
8
comment In which cases are $(f\circ g)(x) = (g\circ f)(x)$?
The centralizer of a group, for example using the group's representation in the general linear group.
Feb
6
comment Expected value problem with cars on a highway
Nice! Just sketching out the linearity part, letting $1_{X_i}$ be the indicator that the i'th car is slower than all other cars infront, we get the expected number of groups is $E[\sum_i 1_{X_i}]$.
Feb
6
comment A simple problem on first order differential equations
The conclusion is that not all ODE's are of the above form, except perhaps locally with approximations. There is nothing more to draw from it, and you will rarely be able to solve such ODEs.
Feb
6
comment Continuous Probability - Bus Arriving
$F(t)$ is the cumulative distribution function of the exponential distribution, not the density.
Feb
6
comment Continuous Probability - Bus Arriving
$P(X>1/3)$ because the units you are using are hours, and 20 minutes is 1/3 of an hour.
Feb
5
revised Continuous Probability - Bus Arriving
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Feb
5
answered Continuous Probability - Bus Arriving
Feb
2
answered An example of a reversible but reducible Markov chain
Feb
1
revised Random walk on $\mathbb Z/m\mathbb Z$ converges to uniform distribution
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Feb
1
comment Random walk on $\mathbb Z/m\mathbb Z$ converges to uniform distribution
@TheHomeworker: with local balance equations, the proof is one line. Are you asking to derive the proof that local balance equations imply $\pi$ is stationary? If yes, refer to the second link above.
Feb
1
revised Random walk on $\mathbb Z/m\mathbb Z$ converges to uniform distribution
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Feb
1
comment Random walk on $\mathbb Z/m\mathbb Z$ converges to uniform distribution
@TheHomeworker: see edit.
Feb
1
revised Random walk on $\mathbb Z/m\mathbb Z$ converges to uniform distribution
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