What are some hot topics that mathematical statistics researchers are studying now?
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1I am pretty sure there has been question like this one already. However, you may have a look at papers to be published at AOS http://www.imstat.org/aos/ this should give you ideas of "hot" topics ? – robin girard Apr 19 '11 at 06:19
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1This is a related question (though asking for "important" topics, which is slightly distinct from "hot"/popular topics): http://stats.stackexchange.com/questions/2379/what-are-the-big-problems-in-statistics – raegtin Jun 06 '11 at 18:52
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Persi Diaconis wrote an article on "Mathematical Statistics" in the Princeton Companion of Mathematics. He discusses several ongoing research areas in mathematical statistics, including the search for high-dimensional admissible estimators (Stein's paradox).

charles.y.zheng
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Hopefully, modelling the dynamics of tumor progression qualifies for this:
Anderson & Quaranta. Integrative mathematical oncology. Nature Reviews Cancer, 2008.

Borlaug
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