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What are some hot topics that mathematical statistics researchers are studying now?

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closed as primarily opinion-based by Xi'an, gung, AdamO, John, Matthew Gunn Nov 3 '16 at 9:31

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ 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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    $\begingroup$ 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.

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