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!
Archive for Don Rubin
Statistics slides (5)
Posted in Books, Kids, Statistics, University life with tags Bayesian statistics, Don Rubin, HPD region, map, Paris, Université Paris Dauphine on December 7, 2014 by xi'anStatistics slides (4)
Posted in Books, Kids, Statistics, University life with tags asymptotics, Bayesian statistics, Don Rubin, EM algorithm, likelihood function, likelihood surface, missing values, Paris, score function, Université Paris Dauphine on November 10, 2014 by xi'anHere 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…
Statistics slides (3)
Posted in Books, Kids, Statistics, University life with tags ABC, Bayesian statistics, bootstrap, Don Rubin, empirical cdf, Glivenko-Cantelli Theorem, Monte Carlo methods, Monte Carlo Statistical Methods, Paris, simulation, Université Paris Dauphine on October 9, 2014 by xi'anHere is the third set of slides for my third year statistics course. Nothing out of the ordinary, but the opportunity to link statistics and simulation for students not yet exposed to Monte Carlo methods. (No ABC yet, but who knows?, I may use ABC as an entry to Bayesian statistics, following Don Rubin’s example! Surprising typo on the Project Euclid page for this 1984 paper, by the way…) On Monday, I had the pleasant surprise to see Shravan Vasishth in the audience, as he is visiting Université Denis Diderot (Paris 7) this month.
reading classics (#4)
Posted in Statistics, University life with tags bag of little bootstraps, Beamer, bootstrap, Brad Efron, classics, Don Rubin, Master program, Michael Jordan, presentation, slides, Université Paris Dauphine on November 29, 2012 by xi'an
Another read today and not from JRSS B for once, namely, Efron‘s (an)other look at the Jackknife, i.e. the 1979 bootstrap classic published in the Annals of Statistics. My Master students in the Reading Classics Seminar course thus listened today to Marco Brandi’s presentation, whose (Beamer) slides are here:
In my opinion this was an easier paper to discuss, more because of its visible impact than because of the paper itself, where the comparison with the jackknife procedure does not sound so relevant nowadays. again mostly algorithmic and requiring some background on how it impacted the field. Even though Marco also went through Don Rubin’s Bayesian bootstrap and Michael Jordan bag of little bootstraps, he struggled to get away from the technicality towards the intuition and the relevance of the method. The Bayesian bootstrap extension was quite interesting in that we discussed a lot the connections with Dirichlet priors and the lack of parameters that sounded quite antagonistic with the Bayesian principles. However, at the end of the day, I feel that this foundational paper was not explored in proportion to its depth and that it would be worth another visit.
