## Statistics slides (5)

Posted in Books, Kids, Statistics, University life with tags , , , , , on December 7, 2014 by xi'an

Here is the fifth and last set of slides for my third year statistics course, trying to introduce Bayesian statistics in the most natural way and hence starting with… Rasmus’ socks and ABC!!! This is an interesting experiment as I have no idea how my students will react. Either they will see the point besides the anecdotal story or they’ll miss it (being quite unhappy so far about the lack of mathematical rigour in my course and exercises…). We only have two weeks left so I am afraid the concept will not have time to seep through!

## reflections on the probability space induced by moment conditions with implications for Bayesian Inference [slides]

Posted in Books, Statistics, University life with tags , , , , , , , , , , , , on December 4, 2014 by xi'an

Here are the slides of my incoming discussion of Ron Gallant’s paper, tomorrow.

## a probabilistic proof to a quasi-Monte Carlo lemma

Posted in Books, Statistics, Travel, University life with tags , , , , , on November 17, 2014 by xi'an

As I was reading in the Paris métro a new textbook on Quasi-Monte Carlo methods, Introduction to Quasi-Monte Carlo Integration and Applications, written by Gunther Leobacher and Friedrich Pillichshammer, I came upon the lemma that, given two sequences on (0,1) such that, for all i’s,

$|u_i-v_i|\le\delta\quad\text{then}\quad\left|\prod_{i=1}^s u_i-\prod_{i=1}^s v_i\right|\le 1-(1-\delta)^s$

and the geometric bound made me wonder if there was an easy probabilistic proof to this inequality. Rather than the algebraic proof contained in the book. Unsurprisingly, there is one based on associating with each pair (u,v) a pair of independent events (A,B) such that, for all i’s,

$A_i\subset B_i\,,\ u_i=\mathbb{P}(A_i)\,,\ v_i=\mathbb{P}(B_i)$

and representing

$\left|\prod_{i=1}^s u_i-\prod_{i=1}^s v_i\right| = \mathbb{P}(\cap_{i=1}^s A_i) - \mathbb{P}(\cap_{i=1}^s B_i)\,.$

Obviously, there is no visible consequence to this remark, but it was a good way to switch off the métro hassle for a while! (The book is under review and the review will hopefully be posted on the ‘Og as soon as it is completed.)

## Statistics slides (4)

Posted in Books, Kids, Statistics, University life with tags , , , , , , , , , on November 10, 2014 by xi'an

Here is the fourth set of slides for my third year statistics course, trying to build intuition about the likelihood surface and why on Earth would one want to find its maximum?!, through graphs. I am yet uncertain whether or not I will reach the point where I can teach more asymptotics so maybe I will also include asymptotic normality of the MLE under regularity conditions in this chapter…

## the new museum ruining my views!

Posted in pictures, Travel, University life with tags , , , , , , , , , , on November 8, 2014 by xi'an

In the past years, I have see a construction grow and grow under my office windows in Paris-Dauphine, ruining my views of the towers of La Défense, as seen on the above picture. This huge building designed by architect Frank Gehry has now opened as the Fondation Louis Vuitton museum, exposing artworks owned by LVMH and Bernard Arnault. Since I am very close to it and could not get an idea of what it looked like from my office, I took a Vélib yesterday and biked the kilometer between Porte Dauphine and the museum. As it had just opened, it was fairly crowded but I could still take a few pictures of this elegant sail-boat made of glass panels, without entering the art gallery itself…

Once the novelty has worn out and the crowds thinned down, I will be back to look at the exhibits. In the meanwhile, I for sure will not forget its presence…!

## postdoc in Paris?

Posted in Kids, Statistics, Travel, University life with tags , , , , , , , on November 4, 2014 by xi'an

There is an open call of the Fondation Sciences Mathématiques de Paris (FSMP) about a postdoctoral funding program with 18 position-years available for staying in Université Paris-Dauphine (and other participating universities). The net support is quite decent  (wrt French terms and academic salaries) and the application form easy to fill. So, if you are interested in coming to Paris to work on ABC, MCMC, Bayesian model choice, &tc., feel free to contact me (or another Parisian statistician) and to apply! The deadline is December 01, 2014.  And the decision will be made by January 15, 2015. The starting date for the postdoc is October 01, 2015.

## art brut

Posted in Kids, pictures, Travel with tags , , , , on October 18, 2014 by xi'an