About

I’m Gilles Colling, a statistician interested in probability theory, Bayesian inference, and the mathematics underlying statistical methods.

This blog explores ideas in statistics and mathematics, from measure-theoretic foundations to everyday paradoxes. Posts aim to be rigorous but accessible, often connecting modern concepts to their historical origins.

For more about my work, visit gillescolling.com.

Notation

Posts on this blog use standard mathematical notation:

• Random variables: capital letters ($X$, $Y$, $Z$)
• Parameters: Greek letters ($\beta$, $\theta$, $\lambda$, $\sigma$)
• Expectations: $\mathbb{E}[X]$
• Variance: $\mathrm{Var}(X)$
• Probability: $P(A)$ or $\Pr(A)$
• Distributions: $\mathcal{N}(\mu, \sigma^2)$, $\text{Uniform}(a,b)$, $\text{Poisson}(\lambda)$

Contact

Questions or suggestions? Reach me through gillescolling.com.