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Mathematics
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clementine1001
  • Member for 2 years, 10 months
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question
6
Show that $\frac{1}{\sqrt{n}} S_n$ does not converge in probability. [duplicate]
Jun 13
question
3
Show that $ \frac{X_{n}}{n} \stackrel{\mathrm{d}}{\longrightarrow} X $ for $ n \rightarrow \infty $
May 26, 2023
question
3
Show that the metric space $(X,d)$ is complete
May 26, 2022
question
3
Show that $ \mathbb{P}(A)=0 $ for each $ A \in \mathcal{F} $ with $ \sum \limits_{k=1}^{\infty} \mathbb{P}\left(A_{k} \cap A\right)<\infty $.
Nov 2, 2022
question
2
Proving continuity of the function $ f: \mathbb{R} \rightarrow \mathbb{R}, x \mapsto \frac{x^{3}}{1+x^{2}} $
Dec 9, 2021
question
2
Show that $ \frac{Y_{1}+\cdots+Y_{n}}{n} \stackrel{\mathrm{P}}{\longrightarrow} \mu \text { as } n \rightarrow \infty $
Jun 9, 2023
question
2
Do the following functions $ f: \mathbb{R}^{2} \rightarrow \mathbb{R} $ satisfy a local or global Lipschitz condition with respect to $ x $?
May 3, 2022
question
2
Show: $\text{Var}(Y) = \text{Var}(Y - E[Y | X]) + \text{Var}(E[Y | X])$.
May 2
question
2
There are exactly two ring homomorphisms $\mathbb{Q}[\sqrt{d}] \to \mathbb{Q}[\sqrt{d}]$
Dec 18, 2022
question
2
Sigma-algebra on $\Omega = \{1,2,3,4\}$ generated by $\epsilon = \{\{1,2\}, \{2,3\},\{4\}\}$
Oct 26, 2022