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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

3 votes
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what kind of probability distribution can be used to model numeral-noun combinations?

The distribution probably depends on the kind of noun, although Benford's law might cover a lot of cases. There's some related empirical data from, of all places, the art world! Artist Golan Levin cr …
Martin M. W.'s user avatar
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1 vote

Expected value as decision criterion in the context of rare events

Usually people want to balance both reward (e.g., expected return) and some measure of risk. To give just one example, in modern portfolio theory one talks about an "efficient frontier" of different s …
Martin M. W.'s user avatar
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27 votes
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Examples where Kolmogorov's zero-one law gives probability 0 or 1 but hard to determine which?

There's a set of good examples from percolation theory: http://en.wikipedia.org/wiki/Percolation_theory If you create a "random network" with a certain probability p of edges between nodes (see artic …
Martin M. W.'s user avatar
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