A portfolio is a collection of financial investments like stocks, bonds, commodities, cash, and cash equivalents, including closed-end funds and exchange-traded funds (ETFs). People generally believe that stocks, bonds, and cash comprise the core of a portfolio....

## Differential equations ODEs versus PDEs

Differential equations came paired with the invention of calculus and have been around for a long time. They are still the main study of a lot of mathematicians. Many famous mathematicians such as Newton, Leibniz, d’Alembert, Euler and Lagrange have made discoveries...

## Investment lessons from Blackjack

It is a very simple game, one that most people are familiar with, “Blackjack” or “21’en” in Dutch. The rules are easy to remember and are easily learned by children. Since there is a gambling element in Blackjack, the probabilities and expectations can be analyzed....

## “If you want to grow in your career, you should join Northpool”

Trisha Paul has been working as an Senior Energy Analyst at Northpool for five years now. She started straight after her study at TU Delft. "It was quite a shot in the dark from India but I was 22 years old so why not? I did my masters in climate economics so moving...

## Diophantine equations

Diophantine equations are polynomial equations over the integers. These are useful in many fields of mathematics such as group theory and operations research.

## Discovering the Frequencies in Financial Markets

Wavelet analysis stems from the 19th century when Joseph Fourier studied the heat equation. From his work, a foundation was set for Fourier transformations (FT). However, FT requires conditions such as stationarity of the data set and it only gives frequency...

## The winners of the Nobel Prize in Economics 2021

On the 11th of October the Nobel Prize in Economics was awarded to David Card, Joshua Angrist and Guido Imbens “for their methodological contributions to the analysis of causal relationships”. Loosely speaking, these researchers are looking at ways to address several...

## Simpson’s Paradox

In 1951 Edward Simpson published a paper discussing the interpretation of contingency tables. He discusses a phenomenon that is still occurring in today’s statistics. It is called after his own name, Simpson’s Paradox. An Example Simpson’s Paradox can be...

## On predicting the future

Predicting the future is a hard concept to grasp. That is why this article aims to discuss some daily applications of predictions and dives a bit in to the world of forecasting.

## The Kolmogorov-Smirnov Test

In statistics we are often estimating parameters and then, using some hypothesis test, we can find out if we should either reject our null hypothesis or not. Now in these tests we almost always rely on some known distribution of a so-called test statistic. Let us...

## Is OLS a thing of the past?

[latexpage] One of the most popular regression methods an econometrician learns is the Ordinary Least Squares (OLS). It is a simple and elegant way of estimating parameters in linear regression. However, there is another technique to perform linear regression using...

## The medical test paradox

[latexpage] Testing has been quite a significant subject during this pandemic. Around 30.000 people a day are being tested in the Netherlands alone, so it is quite important that such a test can accurately predict whether someone actually has the disease. However, an...

## Reversion to mediocrity

Nowadays, research in many fields involves statistics. Whether it comes down to a government's decisions on measures fighting a pandemic or the Red Bull formula 1 racing team deciding on whether Verstappen should swap tires in the next lap, it sounds like a good idea...

## A look at an economic application of the Lotka-Volterra equations

The Lotka-Volterra model is mostly referred to as the predator-prey model. This model is used to describe lots of commonly encountered ecological processes. One of the more famous ones is the rabbit and the fox model. This is a cyclical relation between the amount of...

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