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4 Sep 2012: statistics, economics and finance, social sciences, mathematical biology, games, music, baseball and text generation. ... can test your intuition and make good guesses about what might or might not be true.

15 Aug 2012: fertile interaction between economics and mathematics centred around martingale representations. ... that arise in economics concerning interacting systems of rational agents.

13 Sep 2012: We can therefore use  as a test statistic, and generate acritical value from bootstrap samples drawn from f̂n. ... This test is consistent: if P0 is not log-concave, then thepower converges to 1 as n.

3 Sep 2012: n = 1{Cn ̃(r,ρn) = }.The type-one errors of this test satisfy. ... uniformly in f ̃(r,ρn). We conclude that this test satisfies. lim supn.

6 Sep 2012: The design and control of such networks present challenges of a mathematical, engineering and economic nature.

13 Mar 2012: Applications of this course are to be found in science, economics and engineering (e.g., "insects as optimizers", "planning for retirement", "finding a parking space", "optimal gambling" and "steering a space

2 Jul 2012: One test for coarse equivalence is whether or not ran-dom walk on the infinite cluster satisfies an invariance principle.

25 Nov 2012: Our approach can be applied to more general cases of economic sharing of network resources, and offers new capabilities for resource management, while it is not specific to ABR.

10 Jan 2012: We control the error probabilities ofthis test. Using (2.5), Markov’s inequality, adaptivity of the band, (2.6) and notingrn(s) = o(ρ′n), we deduce. ... If ŝn < si0 , then the test (i) has rejected for some i < i0.

10 Nov 2012: forcing. Recent modelling to test thishypothesis has failed to find support that thedelivery of moisture (through closure of the Pan-ama Isthmus) was a precondition for the obliquitytrigger [Klocker et al., ... IcelandPlume. Here we wish to test this