Articles by xi'an

Multidimension bridge sampling (CoRe in CiRM [5])

July 13, 2010 | xi'an

Since Bayes factor approximation is one of my areas of interest, I was intrigued by Xiao-Li Meng’s comments during my poster in Benidorm that I was using the “wrong” bridge sampling estimator when trying to bridge two models of different dimensions, based on the completion (for and missing from ... [Read more...]

A quantum leap (CoRe in CiRM [4])

July 12, 2010 | xi'an

Today, as I was trying to install SpatialEpi to use the Scotland lip cancer data in the last chapter of Bayesian Core, I realised my version of R, R Version 2.6.1, was hopelessly out of date! As I am also using Hardy Heron, a somehow antiquated version of Ubuntu on my ...
[Read more...]

CoRe in CiRM [3]

July 10, 2010 | xi'an

Still drudging along preparing the new edition of Bayesian Core. I am almost done with the normal chapter, where I also changed the Monte Carlo section to include specific tools (bridge) for evidence/Bayes factor approximation. Jean-Michel has now moved to the new hierarchical model chapter and analysed longitudinal  datasets ...
[Read more...]

Core in CiRM [2]

July 8, 2010 | xi'an

We are making slow progress on the normal and regression chapters as we decided to write the package at the same time we revise the chapters… Jean-Michel transformed the variable selection and model choice R codes of the regression chapter into generic functions that will fit within the package. I ...
[Read more...]

Core in CiRM [1]

July 6, 2010 | xi'an

Jean-Michel Marin and myself have thus started our “research in pair” in CIRM, Luminy, for a fortnight. We are working on the second edition of Bayesian Core and, despite working round the clock on the project (except for a one hour run around Mont Puget this morning), we are not ...
[Read more...]

Another harmonic mean approximation

June 26, 2010 | xi'an

Martin Weinberg posted on arXiv a revision of his paper, Computing the Bayesian Factor from a Markov chain Monte Carlo Simulation of the Posterior Distribution, that is submitted to Bayesian Analysis. I have already mentioned this paper in a previous post, but I remain unconvinced of the appeal of the ... [Read more...]

Conferenza a Padova

June 16, 2010 | xi'an

Today and tomorrow, I am attending the annual Italian statistical society meeting. While I appreciate very much the invitation, as well as the opportunity to walk through  Padova and Venezia for a short (and alas rainy!) hour on the way there (leaving home at 8am, walking in Venezia at noon!), ... [Read more...]

plagiarism exposed!

June 14, 2010 | xi'an

Last morn, I had the surprise of receiving the following email: This is to inform you that the following abstract has been submitted to the 3rd International Conference of the ERCIM WG on COMPUTING & STATISTICS (ERCIM’10) Ab#: 114 Title: Goodness of Fit Via Mixtures of Beta distributions Keywords: nonparametric estimation, posterior ... [Read more...]

bug in schoolmath

June 13, 2010 | xi'an

Neil Gunther has pointed out on his blog that the prime number decomposition R package schoolmath contains mistakes in the function primes, listing 1 as a prime number but also including decomposable numbers like 133 in its list of prime numbers: __ primes(100,140) [1] 101 107 111 113 123 129 131 137 __ primes(50,140) [1]  [...] [Read more...]

Stratified sampling

June 9, 2010 | xi'an

The recently arXived paper of Goldstein, Rinott and Scarsini studies the impact of refining a partition on the precision of a stratified maximising/integration Monte Carlo approach. Quite naturally, if the partition gets improved, simulating points in each set of the partition can only improve the quality of the approximation, ... [Read more...]

On particle learning

June 4, 2010 | xi'an

In connection with the Valencia 9 meeting that started yesterday, and with Hedie‘s talk there, we have posted on arXiv a set of comments on particle learning. The arXiv paper contains several discussions but they mostly focus on the inevitable degeneracy that accompanies particle systems. When Lopes et al. state ... [Read more...]

Vanilla Rao-Blackwellisation [re]revised

May 31, 2010 | xi'an

Although the revision is quite minor, it took us two months to complete from the time I received the news in the Atlanta airport lounge… The vanilla Rao-Blackwellisation paper with Randal Douc has thus been resubmitted to the Annals of Statistics. And rearXived. The only significant change is the inclusion ... [Read more...]

Talk at CRiSM

May 30, 2010 | xi'an

This is the talk I am giving at the workshop on model uncertainty organised by the Centre for Research in Statistical Methodology (CRiSM) at the University of Warwick, on May 30-June 1. Careful readers will notice there is not much difference with my previous talk on the topic, as I only ... [Read more...]

A repulsive random walk

May 28, 2010 | xi'an

Matt Asher posted an R experiment on R-bloggers yesterday simulating the random walk which has the property of avoiding zero by quickly switching to a large value as soon as is small. He was then wondering about the “convergence” of the random walk given that it moves very little once ... [Read more...]

Random sudokus [p-values]

May 21, 2010 | xi'an

I reran the program checking the distribution of the digits over 9 “diagonals” (obtained by acceptable permutations of rows and column) and this test again results in mostly small p-values. Over a million iterations, and the nine (dependent) diagonals, four p-values were below 0.01, three were below 0.1, and two were above (0.21 and 0.42). [...]
[Read more...]

ACM Transactions on Modeling and Computer Simulation

May 20, 2010 | xi'an

Pierre Lecuyer is the new editor of the ACM Transactions on Modeling and Computer Simulation (TOMACS) and he has asked me to become an Area Editor for the new area of simulation in Statistics. I am quite excited by this new Æditor’s hat, since this is a cross-disciplinary journal: ... [Read more...]

Random [uniform?] sudokus [corrected]

May 19, 2010 | xi'an

As the discrepancy [from 1] in the sum of the nine probabilities seemed too blatant to be attributed to numerical error given the problem scale, I went and checked my R code for the probabilities and found a choose(9,3) instead of a choose(6,3) in the last line… The fit between the ...
[Read more...]

Random [uniform?] sudokus

May 19, 2010 | xi'an

A longer run of the R code of yesterday with a million sudokus produced the following qqplot. It does look ok but no perfect. Actually, it looks very much like the graph of yesterday, although based on a 100-fold increase in the number of simulations. Now, if I test the ...
[Read more...]

Confusing slice sampler

May 18, 2010 | xi'an

Most embarrassingly, Liaosa Xu from Virginia Tech sent the following email almost a month ago and I forgot to reply: I have a question regarding your example 7.11 in your book Introducing Monte Carlo Methods with R.  To further decompose the uniform simulation by sampling a and b step by step, ...
[Read more...]

Random sudokus [test]

May 17, 2010 | xi'an

Robin Ryder pointed out to me that 3 is indeed the absolute minimum one could observe because of the block constraint (bon sang, mais c’est bien sûr !). The distribution of the series of 3 digits being independent over blocks, the theoretical distribution under uniformity can easily be simulated: #uniform distribution ...
[Read more...]
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