User:Caliburn

b. 04/03/2001 from Kent.

Undergraduate student at the University of Warwick. (Maths and Statistics)

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

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

• Point estimation
• Interval estimation
• Hypothesis testing
• Regression

Calculus

• Laplace Transforms
• Fourier Transforms
• Multiple Integrals

Analysis

• Analytic continuation for ${}_2 F_1$

Stuff I need but can't find

• Uniformly Convergent Series of Integrable Functions is Termwise Integrable