What are some hot topics that mathematical statistics researchers are studying now?
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1$\begingroup$ I am pretty sure there has been question like this one already. However, you may have a look at papers to be published at AOS imstat.org/aos this should give you ideas of "hot" topics ? $\endgroup$ – robin girard Apr 19 '11 at 6:19
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1$\begingroup$ This is a related question (though asking for "important" topics, which is slightly distinct from "hot"/popular topics): stats.stackexchange.com/questions/2379/… $\endgroup$ – raegtin Jun 6 '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).
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Hopefully, modelling the dynamics of tumor progression qualifies for this:
Anderson & Quaranta. Integrative mathematical oncology. Nature Reviews Cancer, 2008.
