Posts Tagged ‘ random walk ’

MCMC on zero measure sets

March 23, 2014
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MCMC on zero measure sets

Simulating a bivariate normal under the constraint (or conditional to the fact) that x²-y²=1 (a non-linear zero measure curve in the 2-dimensional Euclidean space) is not that easy: if running a random walk along that curve (by running a random walk on y and deducing x as x²=y²+1 and accepting with a Metropolis-Hastings ratio based […]

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Temperatures Series as Random Walks

February 12, 2014
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Temperatures Series as Random Walks

Last year, I did mention in a post that unit-root tests are dangerous, because they might lead us to strange models. For instance, in a post, I did obtain that the temperature observed in January 2013, in Montréal, might be considered as a random walk process (or at leat an integrated process). The code to extract the data has changed (since the website has been updated), so here, we use…

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Martingale et journalisme scientifique

April 8, 2013
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Martingale et journalisme scientifique

Être journaliste scientifique ne doit pas être facile. J’imagine qu’il faut être à l’écoute des nouvelles scientifiques, et d’informer, aussi justement que possible. C’est ce que fait avec brio Pierre Barthélémy (aka @PasseurSciences sur Twitter) dans sa chronique hebdomadaire sélection scientifique de la semaine. Il essaye ainsi de parler de sciences dans un journal qui a (trop) souvent confondu science et technologie (technologie étant aussi souvent un mot savant utilisé…

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making a random walk geometrically ergodic

March 1, 2013
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making a random walk geometrically ergodic

While a random walk Metropolis-Hastings algorithm cannot be uniformly ergodic in a general setting (Mengersen and Tweedie, AoS, 1996), because it needs more energy to leave far away starting points, it can be geometrically ergodic depending on the target (and the proposal). In a recent Annals of Statistics paper, Leif Johnson and Charlie Geyer designed [...]

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Follow the ants to richness

January 29, 2013
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Follow the ants to richness

A friend of mine told me the secret of making money at the stock market. "It's easy", he said. All I would have to do is to buy a big jar of ants. Then I should observe the ants movement on my kitchen table, while following the stock ma...

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