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Daniel Xiang
  • Member for 6 years, 5 months
  • Last seen more than a week ago
  • Chicago, IL, United States
12 votes
Accepted

Show that the operator is invertible

7 votes
Accepted

A $\lambda$-system $\mathcal{L}$ that is a $\pi$-system is automatically a $\sigma$-field.

7 votes
Accepted

Do we have $\lim_{n\to \infty }\int X_n dP=\int\lim_{n\to \infty }X_ndP$

6 votes
Accepted

Show that $\lim\inf A_n\subset \lim\sup_n A_n$

3 votes

Find the average value of $2x^2 + 5x + 2$ on the interval where $x \in [1,3]$.

3 votes
Accepted

Uniform Distribution and Probability

3 votes
Accepted

Proof that conditional probabilities sum up to one

3 votes
Accepted

Proving that a sequence is convergent

2 votes
Accepted

Suppose that $f$ is continuous except at a finite number of points .Is $f$ measurable

2 votes

Real analysis continuity problem

2 votes

Probability of drawing a red from after randomly selecting $1$ bag from $2$ bags.

2 votes

Expected time to reach the end of the line

2 votes
Accepted

Expectation and Variance of a Binomial sum of Poisson random variables

2 votes
Accepted

If $T$ is a linear map then $\|T(x)\|<\infty$

2 votes
Accepted

Given the following non-increasing sequences of sets...

2 votes
Accepted

MLE when the density is $f(x;\theta )=\theta x^{\theta−1}$

2 votes

How to show $\left \| AB \right \|_{\infty}=\left \| A \right \|_{\infty}\left \| B \right \|_{\infty}$

2 votes

What is the proper method to integrate $x^2e^{-(ax^2)}$?

2 votes

Probability of sum of product of uniform R.V.

2 votes
Accepted

Example of a bounded operator on $\ell^2$ that does not preserve $\ell^1$?

2 votes
Accepted

Joint pdf as a product of two independent functions with dependent domain

2 votes

Convergence of uniformly continous functions to a uniformly continous function

2 votes
Accepted

Proof of $\limsup_{n\to\infty} x_{kn} \leq \limsup_{n\to\infty} x_{n}$

2 votes

Proving g(x) is integrable, knowing f(x,y) is integrable

2 votes

Symmetric random walk passes through 1

2 votes

Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

2 votes
Accepted

Lim sup and Borel-Cantelli solution

2 votes
Accepted

Show that $\mathbb{E}[T_A\mid Z_0=k] = \sum_{\ell\in S} \mathbb{E}[T_A \mathbb{1}_{\{Z_1 = \ell\}}\mid Z_0=k].$

2 votes
Accepted

Conditional densities and their sums

2 votes

variance of maximum