Statistics - Cantor's Archive

Probability Theory

Better-Than-Random Decisions in Uninformed Settings

Two envelopes with different amounts of money in them. Choose the better one with a higher chance than fifty-fifty!

Statistics

Do Masses of Fundamental Particles Follow Benford’s Law?

How a statistical test used to uncover tax frauds may help us find an explanation to a long-standing puzzle in particle physics

Statistics

Huber Loss: Why Is It, Like How It Is?

On the day I was introduced to Huber loss by Michal Fabinger, the very first thing that came to my mind was the question: “How did someone joined these two functions in a mathematical way?”. Apart from that, the usage of Huber loss was pretty straightforward to understand when he

Mathematical Modelling

The Time Evolution of a Particle’s Position

To determine the position of a particle can be a very challenging task. The obvious way is to look at it and see where it is at that time. However, as one can expect, measuring the position of a particle at every instance of time is very difficult (impossible). (A

Statistics

Maximum Likelihood Estimate

Part 2: Mixture Models

Probability Theory

Maximum Likelihood Estimate

Part 1: How to best fit a Gaussian

Chaos Theory

The Chaos of Weather Prediction

Since existence, humans have been trying to predict the weather. Early methods looked to astrology and the lunar phases. Even the Bible contains references to Jesus deciphering local weather patterns!