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Boby
  • Member for 4 years, 5 months
  • Last seen this week
  • Beijing, China
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question
7
Show that $\min_{a \in \mathbb{R}} E \left[ \max \left( (1-a) V, a Z \right) \right]$ is minimized by $a$ such that $0<a<1$
Nov 21, 2022
question
5
Equality in Gaussian Poincare Inequality
Aug 15, 2022
question
4
Interpolating Gaussian mixture. How many points is sufficient for complete reconstruction
Jul 11, 2022
question
3
What are some of the application of order statistics in engineering/data science /statistics? [closed]
Apr 7, 2020
question
2
Reference for Poincare Inequality
Aug 11, 2021
question
2
Show that $\mathbb{P}[ a V\le Z| V+Z]=\mathbb{P}[aV \ge Z| V+Z] \text{ a.s.} $ iff $V=\frac{1}{\sqrt{a}}Z'$ where $Z'$ is standard normal
Mar 17, 2022
question
2
For discrete $X_n$ if $X_n \stackrel{d}{\to} U$, does $P_e \to 1$ where $P_e$ is optimal Bayes error and $U$ is uniform
Jan 19
question
1
Berry-Esseen Type For the Unknown Variance
Sep 9, 2022
question
1
Example of Minimum Variance Estimator with Rate worst than $\frac{1}{n}$
Aug 29
question
0
Variance of $U= a \log (Z+b)-Z$ where $Z$ is the exponential random variable
Jul 21, 2022
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24
Upper and Lower Bounds on $Var(Var(X\mid Y))$
22
Limit of $\lim_{t \to \infty} \frac{ \int_0^\infty \cos(x t) e^{-x^k}dx}{\int_0^\infty \cos(x t) e^{-x^p}dx}$
15
Average minimum distance between $n$ points generate i.i.d. with uniform dist.
13
How to set up Lagrangian for matrix constraints?
13
Is $g(x)= \frac{x_1^2}{r_1^2}+\frac{x_2^2}{r_2^2}- c$ a unique solution of $E[g(Z)\mid M=\mu]=0, \forall \mu \in \text{ellipse } C$ for $Z$ Gaussian