A statistical look at the world.
Is the F1 championship already decided after two races?
Formula 1 seasons last more than twenty races, but championship battles often are predictable surprisingly early. After only two races, fans already speculate about who will become world champion. But how much information do the first races actually contain?
The Red Flag of the First Digit: How Benford’s Law Catches Fraud
If I asked you to invent a list of 100 random expenses for a fake company, you would likely try to make the numbers look as "random" as possible. You would sprinkle in some numbers starting with a 4, some with a 7, and perhaps a few starting with a 9. In your mind, randomness implies equality. However, doing this would result in you being caught rather soon. This is because real accounting data follows a hidden, logarithmic rhythm known as Benford’s Law.
Intuition and Definition of a Martingale
The concept of a martingale originates in the world of gambling, but the idea extends far beyond the roulette or poker table. Imagine a simple game: you start with €0, and in each round you toss a fair coin. If you win, you gain €1; if you lose, you lose €1. Each round is completely independent of the previous one; what happened before does not influence the outcome of the next toss.
Why continuity assumptions matter more than you think
In econometrics, many of the most important results depend on conditions that rarely receive attention. Buried inside proofs, often labeled as “regularity conditions,” these assumptions can look technical and secondary. Continuity is one of them. Yet continuity is not just a background detail. It is one of the structural features that makes estimation possible, inference meaningful, and models stable.
The angel and the devil on an infinite chessboard
Imagine a chessboard stretching endlessly in all directions. In this unusual game however, there are only two actors: The angel, who is our hero of the play, and the devil. The angel moves in a manner similar to a chess king, except that the distance he may travel is determined by some fixed power k. For example, an angel with power 3 can on each turn travel 3 squares from its starting location. The devil can move to any square he likes, and in turn burns that same square, making it permanently inaccessible for the angel. Our question is: is it eventually possible for the devil to trap the angel, leaving it with no squares to fly to, or will the angel always be able to escape?
Meet the 37th VESTING Board
On Monday the 5th of January, the 37th VESTING Board was announced. Each one of them has written a short introduction about themselves below: