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StubbornAtom
  • Member for 8 years, 1 month
  • Last seen this week
  • Kolkata, India
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22
Distribution of $\frac{\sum_{i=1}^n X_iY_i}{\sum_{i=1}^n X_i^2}$ where $X_i,Y_i$s are i.i.d Normal variables
Nov 15, 2018
14
Is $\frac1{n+1}\sum_{i=1}^n(X_i-\overline X)^2$ an admissible estimator for $\sigma^2$?
May 5, 2021
14
Constructing example showing $\mathbb{E}(X^{-1})=(\mathbb{E}(X))^{-1}$
Sep 30, 2017
14
Sign of product of standard normal random variables
Oct 12, 2021
13
$(2Y-1)\sqrt X\sim\mathcal N(0,1)$ when $X\sim\chi^2_{n-1}$ and $Y\sim\text{Beta}\left(\frac{n}{2}-1,\frac{n}{2}-1\right)$ independently
Feb 8, 2018
12
Validity of confidence interval for $\rho$ when $X\sim N_3(0,\Sigma)$ with $\Sigma_{ij}=\rho^{|i-j|}$
Mar 31, 2019
12
If $X$ and $Y$ are independent Normal variables each with mean zero, then $\frac{XY}{\sqrt{X^2+Y^2}}$ is also a Normal variable
Mar 13, 2018
11
How to show that $\{N(\theta,1):\theta \in \Omega\}$ is not a complete family of distributions when $\Omega$ is finite?
Apr 5, 2023
11
Distribution of $\min_{j\ge 1}(X_1+X_2+\cdots+X_j)/j$ when $X_i$'s are i.i.d $\text{Exp}(1)$
Sep 6, 2023
11
Definition of sample space
Oct 25, 2016
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35
What is the most rigorous definition of a matrix?
26
When not to treat dy/dx as a fraction in single-variable calculus?
17
Convergence of Student's t-distribution to a standard normal
15
Find expectation of $\frac{X_1 + \cdots + X_m}{X_1 + \cdots + X_n}$ when $X_1,\ldots,X_n$ are i.i.d
14
Evaluating $\int _{-100}^{100}\lfloor {x^3}\rfloor \,dx$