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Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.

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How to extend Dirichlet distribution to Dirichlet process

Here $\alpha$ is a number, and $H$ is a measure. I believe that you should take a finite space, say, $\{1,...,K\}$. Then for any partition of $\{1,...,K\}$, your first formula will hold. $H$ measure …
Leonid Petrov's user avatar
3 votes

How is the longest increasing subsequence a matrix integral?

There is a roundabout way of putting this. A discrete analogue of random matrix spectra is random partitions (=Young diagrams). There clearly is a 'gadget' relating random permutations with random You …
Leonid Petrov's user avatar