# Alex Olssen

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bio website location Canberra, Australia age 27 member for 2 years, 5 months seen Feb 18 at 0:19 profile views 87

Hi,

Generally, I am interested in economics, mathematics (theoretical and applied), statistics (theoretical and applied), and computer programming. I am fluent in Stata, proficient in mata, R, python, and matlab. I occasionally use c++.

Alex

# 14 Questions

 6 The difference between convergence in $L^{\infty}$ and almost uniformly 3 Rosenthal's proof of the tower property for conditional expectation 3 Egoroff's theorem in Royden Fitzpatrick (comparison with lemma 10) 3 Correspondences $f: X \to 2^Y$ 2 Is $x^n$ Cauchy in $(C[0, 1], ||\cdot||_{\infty})$?

# 430 Reputation

 +5 Prove the topology $\mathcal{T} = \{\emptyset\} \cup \{(-\infty, c) | c \in \mathbb{R}\}$ is Tychonoff +5 Egoroff's theorem in Royden Fitzpatrick (comparison with lemma 10) +10 Help with Metric spaces +5 Rosenthal's proof of the tower property for conditional expectation

 4 is the function $1/\sqrt{x}$ uniformly continuous? 2 Does $|t - s| < \epsilon$ imply $||t| -|s|| < \epsilon$ for $t,s \neq 0$ and $\epsilon>0$ 1 If $a_n \rightarrow 1$, does $X_n \overset{p}{\rightarrow} X$ implies $a_n X_n \overset{p}{\rightarrow} X$? 1 Where to begin in approaching Stochastic Calculus? 1 Help with Metric spaces

# 21 Tags

 7 real-analysis × 5 1 metric-spaces × 3 4 probability × 11 1 general-topology × 2 2 probability-theory × 3 1 regression 2 homework × 3 1 convergence 2 inequality 1 economics

# 6 Accounts

 Mathematics 430 rep 27 Stack Overflow 173 rep 8 Geographic Information Systems 123 rep 5 Super User 101 rep Ask Ubuntu 101 rep 1