1291 search results for "latex"

Maximum likelihood

October 13, 2011
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Maximum likelihood

This post is one of those ‘explain to myself how things work’ documents, which are not necessarily completely correct but are close enough to facilitate understanding. Background Let’s assume that we are working with a fairly simple linear model, where … Continue reading →

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Le Monde puzzle [#743]

October 11, 2011
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Le Monde puzzle [#743]

As Le Monde weekend has yet again changed its format (with so much more advertisements for luxurious items that I sometimes wonder whether or not this is the weekend edition of Le Monde!], it took me a while to locate the mathematical puzzle. The good news is there now is a science&techno leaflet with, at

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understanding computational Bayesian statistics

October 9, 2011
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understanding computational Bayesian statistics

I have just finished reading this book by Bill Bolstad (University of Waikato, New Zealand) which a previous ‘Og post pointed out when it appeared, shortly after our Introducing Monte Carlo Methods with R. My family commented that the cover was nicer than those of my own books, which is true. Before I launch into

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Googling Bayes’ pictures

September 29, 2011
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Googling Bayes’ pictures

I am writing way too many posts in a row on Google tools. I promise I will think about something else soon. I find amusing the possibility to launch a search in Google images by just dragging a picture into … Continue reading →

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Stuff Harvard People Like

September 28, 2011
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What types of students go to which schools? There are, of course, the classic stereotypes: MIT has the hacker engineers. Stanford has the laid-back, social folks. Harvard has the prestigious leaders of the world. Berkeley has the activist hippies. Caltech has the hardcore science nerds. But how well do these perceptions match reality?...

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Bessel integral

September 28, 2011
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Bessel integral

Pierre Pudlo and I worked this morning on a distribution related to philogenic trees and got stuck on the following Bessel integral where In is the modified Bessel function of the first kind. We could not find better than formula 6.611(4) in Gradshteyn and Ryzhik. which is for a=0… Anyone in for a closed form

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Tikz Introduction

September 27, 2011
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Tikz Introduction

The pgf drawing package for LaTeX provides facilities for drawing simple of complicated pictures within a LaTeX document. There are many options available within the package and in this post we consider some of the basics to get up and running. Fast Tube by Casper As with all LaTeX documents we need to select a

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workshop in Columbia [day 3]

September 26, 2011
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workshop in Columbia [day 3]

Although this was only a half-day of talks, the third day of the workshop was equally thought-challenging and diverse.  (I managed to miss the ten first minutes by taking a Line 3 train to 125th street, having overlooked the earlier split from Line 1… Crossing south Harlem on a Sunday morning is a fairly mild

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A Note on Antoniak’s Approximation for Dirichlet Processes

September 21, 2011
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A Note on Antoniak’s Approximation for Dirichlet Processes

Antoniak's 1974 article titled Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems (Annals of Statistics 2(6):1152-1174) is a fundamental work for most modern developments in this area. The article gives two expressions for the expected number of distinct values in a sample of size n, drawn from a Dirichlet process-distributed probability distribution with

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Introduction to Beamer

September 17, 2011
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Introduction to Beamer

A friend of mine, who is quite smart by the way (she is a PhD. student in Physics at Cambridge), recently asked me for some help with Beamer. Well most of my knowledge and code came from Utkarsh when I had started about a year ago. Initially, I ha...

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