John D Cook has a nifty post up about log-concave functions (in the latest Carnival of Mathematics). These include the log-concave densities, which have been popular objects of research in statistics in the last decade or so - they're a wide class of densities that have (as you might guess from John's article) some nice properties.
I'd like to write a longer, basic post about them sometime. The Wikipedia page doesn't really do them justice.
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