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James Yang's user avatar
James Yang's user avatar
James Yang's user avatar
James Yang
  • Member for 6 years, 9 months
  • Last seen more than a week ago
6 votes

If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?

4 votes

Is there a eigenvalue equal to 0 if determinant is equal to 0?

3 votes

How to prove the following expression does not depend on x?

3 votes
Accepted

Why is the matrix invertible if its null space is zero?

3 votes
Accepted

Is the cross variation (of stochastic processes) bilinear?

2 votes

one-dimensional Brownian motion

2 votes
Accepted

convergence to SDE

1 vote

Uniqueness of a linear map on a basis of a vector space

1 vote

How can I compute the limit of a probability vector with a transition matrix?

1 vote

Sigma field and probability of evemts

1 vote

Finding $\lim_{x \to 0} \sin x/\sin(7x)$ without l'Hopital's Rule

1 vote
Accepted

Conditional expectation of an unbiased and sufficent statistic

1 vote

Convergence in probability exercise

1 vote

Martingale property of indefinite Ito integral

1 vote
Accepted

Show as surely convergence (Borel Cantelli Lemma)

1 vote

Show that $\frac1n(\sum_{i=1}^n\log\frac{1}{1-X_i})^3$ is a sufficient statistic for $\beta$ in a Beta$(\alpha,\beta)$ density

1 vote

Convergence, Integration

1 vote

A transformation function to be used with Ito's lemma for a specific SDE

1 vote

How to find the matrix of $T$ with respect to the standard basis of $\mathbb{R}^3$

0 votes

Why is $\sigma(X_i) = \{ (X_i \in A) \ | \ A \in \mathbb{B}\}$

0 votes

How to prove this matrix inequality?

0 votes

Expectation of the absolute of the difference between two B.M, $\DeclareMathOperator*{\E}{\mathbb{E}}|B(s)-B(t)|=\sqrt{\frac{2}{\pi}}|t-s|^{1/2}$?

0 votes
Accepted

$B(t)$ brownian motion, $[Y,Y](t)$ is qudratic variation,prove : 1. $[Y,Y](\infty)<\infty$ 2. for $\omega$ with $\int_0^\infty a(s)^2\, ds=\infty$,

0 votes

Brownian Motion is Martingale

0 votes
Accepted

Conditional expectation expressions

0 votes

Bernoulli process has ith success.

0 votes
Accepted

Conditional expectation and conditional median

0 votes

$N(A^T) \subset N(B^T)$ and the system $Bx=b$ has at least one solution, then the system $Ax=b$ has at least one solution