# User:Caliburn

b. 04/03/2001 from Kent.

My interest currently lies in complex analysis, which I've been studying using Gamelin, though I intend to broaden this.

2019 Cambridge offer holder. (Queens')

I prefer to be called by my real name, George, as opposed to Caliburn or any variation.

## To do

### Probability Distributions

• Properties
• Let $\theta \sim \ContinuousUniform {-\frac \pi 2} {\frac \pi 2}$. Let $X$ be the $x$-intercept of the line through $\tuple {x_0, \gamma}$ that makes an angle of $\theta$ with the vertical line $x = x_0$. Then $X \sim \Cauchy {x_0} {\gamma}$.
• Let $T$ be the time period between consecutive events where these events happen at an average rate of $\lambda$. Then $T \sim \Exponential \beta$ with $\beta = 1/\lambda$.
• Medians
• Modes
• Multivariate stuff

### Inference

• Review existing work in point estimation
• Interval estimation
• Groundwork for hypothesis testing
• Regression

Probably using Casella and Berger.