A statistical look at the world.
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:
Why Economists Disagree Even When Looking at the Same Data
Economists often appear in public debates, disagreeing on the same topic as if they are speaking two completely different languages. One study claims inflation is driven by excess demand, another points to supply shocks. Some economists argue that higher interest rates slow the economy, while others suggest they merely follow economic downturns rather than cause them. Perhaps the most puzzling is that these disagreements continue when economists analyse the same data. The numbers are identical, the time periods overlap, yet the conclusions still differ. How can experts trained in the same field reach such different answers from the same evidence?
Why the other line is always faster
We have all been there. You stand in the supermarket, scanning the checkout landscape like a grandmaster surveying a chessboard. You spot it: the short line. Three people, modest baskets, a cashier who looks caffeinated. You commit. Two minutes later, the woman in the “long” line next to you is already paying and leaving. Meanwhile, your cashier has called for a price check on an unscannable item, and the person in front of you is counting out pennies. At that point it no longer feels like bad luck, but like the world is against you. But as it turns out, your frustration isn't just a mood; it’s a fascinating intersection of psychology, social justice, and cold, hard probability.
Was Widespread COVID-19 Testing a Good Idea?
Imagine you test positive for a test that predicts that you have a rare disease with 99% accuracy. You would worry right? You might think this means you almost certainly have the disease, with only a 1% chance of not having the disease. This seems very intuitive, but is actually completely wrong. If the disease is rare, a positive result from this remarkably sensitive test can still mean that you are almost certainly healthy. This feels impossible at first. How can a test that almost never misses a true case be wrong most of the time when it gives a positive result?