## double if not exponential

Posted in Books, Kids, Statistics, University life with tags , , , , , , on December 10, 2020 by xi'an

In one of my last quizzes for the year, as the course is about to finish, I asked whether mean or median was the MLE for a double exponential sample of odd size, without checking for the derivation of the result, as I was under the impression it was a straightforward result. Despite being outside exponential families. As my students found it impossible to solve within the allocated 5 minutes, I had a look, could not find an immediate argument (!), and used instead this nice American Statistician note by Robert Norton based on the derivative being the number of observations smaller than θ minus the number of observations larger than θ.  This leads to the result as well as the useful counter-example of a range of MLE solutions when the number of observations is even.

## on-line course

Posted in Kids, pictures, Statistics, University life with tags , , , , , , , , , , , on September 4, 2020 by xi'an

Since this teaching semester is 100% on-line in Paris Dauphine for the third year students, I started last Monday to teach my statistical modelling course from my office on my computer. Using a Teams connection with the 180⁺ students,  sharing my slides or my webcam with them, and writing on a Huion drawing tablet to write on the pdf slides (or on Teams whiteboard). I found the most convenient way to write on the slides was via Xournalpp. From my end of the exchange, the class went on rather smoothly, with students interacting about the practical and contents of the course. As I have also recorded my lectures (in August), and hope the students to first go through the recordings, I will see next time how much effort they have put into assimilating the material, as the on-line class will mostly concentrate on questions and applications. I also hope to have a quick multiple choice question at the end (or beginning?) of each class, but am still fishing for an interface that would (a) handle LaTeX or MathJax (b) shuffle questions from a pool of questions so that each student gets a different question (or thinks so) and (c) store the outcome of the test. Any suggestion welcome!