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Mathematics
Thành Nguyễn's user avatar
Thành Nguyễn's user avatar
Thành Nguyễn's user avatar
Thành Nguyễn
  • Member for 4 years, 3 months
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Hi, my name is Thanh Phu Nguyen. Welcome to my profile page.

Here are some of my favorites answers so far: (in no particular order)

Infinite sequence of uniform random variables

Is the CDF of the Gaussian Distribution in $L_p$ Space for $x \le 0$ ?

A convergence property for iid sequence of Cauchy random variables

Central limit theorem for two-sided Pareto distribution

Second Borel-Cantelli lemma via the moment method

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Top posts

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9
Given $|ax^2+bx+c| \le |x|^3$. Prove that $a=b=c=0$
Sep 25, 2024
8
Expectation of an absolute value
Nov 21, 2025
7
Complete statistic for Normal Distribution $\mathcal{N}(\mu, \mu^2)$
Jan 17, 2022
7
Show that if $\frac{S_n - m_n}{s_n} \xrightarrow{d} \mathcal{N}(0, 1)$ with $X_k \sim \text{Ber}(p_k)$ then $\sum_k p_k(1-p_k) = +\infty$
Oct 8, 2023
7
Calculate $\sum\limits_{n=0}^{\infty}{\int\limits_{\frac{1}{2}}^{\infty}(1-e^{-t})^{n}e^{-t^2}dt}$
May 28, 2024
7
Prove a sequence converges almost surely when $\sum_{n=1}^\infty \frac{\mathrm{Var}[X_n]}{n^2}=\infty$
Dec 17, 2024
6
CLT : question about normal vs. standard normal
Apr 9, 2025
6
How to show $\lim_{t \rightarrow 0^+} \int_0^\infty \dfrac{\sin x}{x + t}dx = \dfrac{\pi}{2}$?
May 24, 2023
5
Conditional expectation property - unclear (possibly unnecessary) assumption
Aug 3, 2025
5
Finding a density function for the minimum of two uniformly distributed random variables.
Jun 7, 2025

Top network posts

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6
How to deduce $ \mathbb{E}(\sqrt{X}) < \infty \implies\int_{\mathbb{R}^+} (1 - F(x))^2 dx < \infty,~X$ being a non-negative integrable rv?
5
$\limsup_n \dfrac{X_n}{n} = 0$ if $\mathbb{E}(X_1) < \infty$?