# Category: Pedagogical Note

## Illustrating the new LPIRF Stata 18’s command

Good news! In the new version of Stata 18, we have a new command that produces local-projection impulse–response functions. You can find the complete description of the command…

## Size and Power using Stata: a Simple Example

During my seminars of Applied Econometric with Stata in the Faculty of Economics and Management at the University of Strasbourg, I always tell to my students that the…

## Illustrating that the sample variance bias decreases with the sample size using R and Mathematica

In my previous blog, I recall that we can demonstrate in a few steps that the sample variance is an unbiased estimator of the population variance when we…

## Illustrating the sample variance bias with R and Mathematica

In my previous blog, I recall that we can demonstrate in a few steps that the sample variance is an unbiased estimator of the population variance when we…

## Using the moment generating functions to find moments: a simple example

The moment generating function can be quite obscure for students. We have a definition here. Quite obscure, isn’t it! In this blog, I will show a simple example…

## The fragility of an incomplete monetary union with Mathematica

In this blog, I will show how to build a model of the fragility of an incomplete monetary union. The idea is to find the optimal inflation rule…

## A simple proof of Cobb-Douglas production function can be obtained from CES production function with Wolfram Alpha

In my previous post, we saw that we can derive Cobb-Douglas production function from CES production function when the elasticity of substitution is equal to zero. In this…

## Visualizing CES production functions with Wolfram Alpha

In this post, I will show how it is simple to visualize CES production functions with Wolfram Alpha. I build upon the very pedagogical YouTube video of Klaus…

## Visualizing production functions with Wolfram Alpha

In this post, I will show how it is simple to visualize production functions with Wolfram Alpha. I build upon the very pedagogical YouTube video of Klaus Prettner…

## A Simple Proof for the Chebyshev Inequality: Clearly Explained!

In the Appendix A of this book: Statistics: Principles and Methods written by Giuseppe Cicchitelli, Pierpaolo D’Urso and Marco Minozzo published by Pearson in 2021, I found the…