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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.

1 vote
Accepted

Nice way to parametrize a bunch of non-independent discrete random variables

I have no deep insight to share for general $N$, but for the simplest case of $N=2$ (arbitrary coupling / joint distribution of two fixed binary discrete uniform random variables), there's a 1-to-1 co …
Chill2Macht's user avatar
  • 2,680
9 votes
2 answers
870 views

Is there a combinatorial/topological treatment of statistical independence?

Is there any reference which studies sets of random variables as independence systems, a type of combinatorial object (see below)? Motivation: In particular, since independence systems are abstract s …
Chill2Macht's user avatar
  • 2,680
3 votes
1 answer
348 views

Is there a complete countable axiomatization of conditional independence? (Graphoids)

Note: A pointer to a reference, or a yes/no answer with a 1-2 sentence incomplete/non-rigorous justification would suffice for answers. I am just curious about whether the result is true; it is fairly …
Chill2Macht's user avatar
  • 2,680
6 votes
1 answer
1k views

Is there any "fundamental" distinction between min-plus, max-plus, min-product, and max-prod...

In the paper Faster Algorithms for Max-Product Message Passing by McAuley and Caetano (see e.g. here or here), several statements are made which seem mathematically questionable to me. For completene …
Chill2Macht's user avatar
  • 2,680