For my second lecture today, I need to plot a likelihood surface for a basic two-component mixture with only the means unknown: here is the R code to speed up things llsurf=function(trumyn=2.,wayt=.3,var2=1.,ssiz=500){ # draws the log-likelihood surface and a random sample sd2=sqrt(var2) parti=(runif(... [Read more...]

As I already did two years ago, in connection with the double degree between UAM and Dauphine, I will give a short graduate course at the Universidad Autonoma de Madrid (UAM). It will be part of the regular fourth year statistics course and will focus on mixtures, as given in ... [Read more...]

On Friday, a 2008 paper on Stochastic Approximation and Newton’s Estimate of a Mixing Distribution by Ryan Martin and J.K. Ghosh was posted on arXiv. (I do not really see why it took so long to post on arXiv a 2008 Statistical Science paper but given that it is not ... [Read more...]

Following the posting on arXiv of the Statistical Science paper of Carvalho et al., and the publication by the same authors in Bayesian Analysis of Particle Learning for general mixtures I noticed on Hedibert Lopes’ website his rejoinder to the discussion of his Valencia 9 paper has been posted. Since the ... [Read more...]

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At the Edinburgh mixture estimation workshop, Murray Aitkin presented his proposal to compare models via the posterior distribution of the likelihood ratio. As already commented in a post last July, the positive aspect of looking at this quantity rather than at the Bayes factor is that the priors are then ... [Read more...]